Datasets:
Codyfederer
/
synthia-tool-calling-tokenized

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
41
4.1k
attention_mask
listlengths
41
4.1k
labels
listlengths
41
4.1k
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2426, 506, 6524, 4241, 2536, 573, 506, 26057, 74478, 532, 1299, 974, 506, 1873, 34637, 26844, 573, 910, 2148, 2290, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 78952, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 120384, 74478, 827, 623, 14968, 1083, 623, 121789, 76502, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236800, 236810, 236764, 623, 14968, 1083, 236743, 236778, 236828, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 1375, 236880, 236774, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236778, 96971, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 135046, 62821, 827, 623, 14968, 1083, 623, 120365, 107875, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236812, 236764, 623, 14968, 1083, 236743, 236778, 236770, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 13238, 3676, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 6136, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 4199, 7591, 73634, 827, 623, 14968, 1083, 623, 4199, 3773, 72161, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236770, 236832, 236764, 623, 14968, 1083, 236743, 236778, 236812, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236823, 183709, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236825, 31675, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 23243, 14322, 236743, 236812, 236819, 616, 827, 623, 14968, 1083, 623, 18939, 13245, 43788, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236800, 236770, 236764, 623, 14968, 1083, 236743, 236770, 236832, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236771, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 170991, 236789, 236751, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 40352, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 229882, 8036, 158557, 827, 623, 14968, 1083, 623, 149480, 68824, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236771, 236764, 623, 14968, 1083, 236743, 236770, 236800, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 152727, 7502, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 119547, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 106053, 4085, 57597, 827, 623, 14968, 1083, 623, 154471, 80721, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236819, 236764, 623, 14968, 1083, 236743, 236770, 236819, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236832, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 32089, 2834, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 16008, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 135151, 72487, 827, 623, 14968, 1083, 623, 114476, 41203, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236832, 236764, 623, 14968, 1083, 236743, 236778, 236812, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236836, 236761, 236773, 236761, 5970, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 103651, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 49548, 56670, 827, 623, 14968, 1083, 623, 17224, 8036, 83482, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236770, 236832, 236764, 623, 14968, 1083, 236743, 236778, 236771, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 80738, 1099, 12219, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 120430, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 112421, 137216, 827, 623, 14968, 1083, 623, 109180, 102273, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236800, 236764, 623, 14968, 1083, 236743, 236778, 236771, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236798, 16275, 12219, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 36269, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 135541, 84354, 827, 623, 14968, 1083, 623, 161275, 81828, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236812, 236764, 623, 14968, 1083, 236743, 236770, 236832, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236792, 236880, 236774, 5970, 24933, 25938, 1604, 623, 4874, 236779, 5567, 1083, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236778, 78952, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 120384, 74478, 827, 623, 14968, 1083, 623, 104561, 45799, 23179, 623, 4818, 1083, 623, 144376, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236778, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 119978, 16906, 12219, 127096, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 79692, 236779, 1516, 1083, 642, 107, 140, 236775, 5567, 1083, 642, 107, 142, 236775, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 107, 142, 236775, 68925, 1083, 642, 107, 144, 236775, 8147, 1083, 623, 120384, 74478, 827, 107, 144, 236775, 14968, 1083, 623, 17224, 8036, 83482, 236775, 107, 142, 1263, 107, 142, 236775, 80043, 1083, 623, 138522, 827, 107, 142, 236775, 53337, 1083, 623, 78304, 236775, 107, 140, 1263, 107, 140, 236775, 16350, 1083, 623, 1734, 236772, 5567, 827, 107, 140, 236775, 79692, 1083, 642, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236810, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236800, 236771, 107, 142, 1263, 107, 142, 236775, 3947, 236779, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 642, 107, 146, 236775, 11116, 1083, 753, 236800, 236761, 236810, 236764, 107, 146, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 144, 1263, 107, 144, 236775, 14968, 1083, 642, 107, 146, 236775, 11116, 1083, 900, 236800, 236761, 236810, 236764, 107, 146, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 144, 236783, 107, 142, 1263, 107, 142, 236775, 1749, 236779, 6460, 1083, 642, 107, 144, 236775, 6725, 1083, 236743, 236812, 236810, 236761, 236810, 236764, 107, 144, 236775, 1749, 236779, 79692, 1083, 753, 236770, 236771, 236810, 236764, 107, 144, 236775, 6460, 236779, 79692, 1083, 753, 236770, 236770, 236810, 107, 142, 236783, 107, 140, 1263, 107, 140, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236832, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 107, 140, 236775, 3917, 236779, 495, 1555, 1083, 2416, 107, 138, 236783, 107, 236783, 106, 107, 105, 4368, 107, 818, 26057, 74478, 236789, 6524, 4241, 691, 580, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 1298, 901, 27522, 506, 20615, 76502, 236743, 236800, 236810, 236772, 236778, 236828, 657, 9928, 236880, 236774, 24933, 236761, 9963, 2148, 14812, 2290, 563, 2342, 506, 19662, 45799, 580, 6198, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 26123, 16906, 12219, 236761, 108, 76171, 34637, 26844, 236764, 506, 1346, 4803, 877, 236772, 5567, 26844, 2487, 659, 573, 496, 3402, 76892, 2342, 506, 7086, 8036, 83482, 568, 1896, 236787, 6027, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 607, 506, 2269, 4463, 236787, 107, 236772, 5213, 35922, 1257, 66515, 74478, 753, 236770, 236810, 236771, 965, 83482, 900, 236770, 236800, 236771, 107, 236772, 5213, 5047, 66599, 66515, 74478, 753, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 965, 83482, 900, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 107, 236772, 5213, 4330, 236786, 14713, 66515, 236743, 236812, 236810, 236761, 236810, 3298, 568, 4330, 753, 236770, 236771, 236810, 965, 8382, 753, 236770, 236770, 236810, 236768, 108, 10282, 236787, 669, 26844, 3505, 659, 573, 496, 2290, 711, 3819, 14812, 528, 506, 12853, 1262, 236761, 669, 5396, 6198, 236743, 236778, 236778, 76892, 2342, 506, 45799, 1149, 735, 1607, 26844, 600, 10050, 236789, 236745, 18367, 528, 672, 3072, 236761, 106, 107, 105, 2364, 107, 818, 1938, 3847, 5072, 531, 735, 496, 59725, 236761, 669, 6524, 4241, 1262, 3831, 506, 74478, 5662, 506, 45799, 580, 6198, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 840, 506, 26844, 9456, 659, 573, 496, 6027, 236743, 236778, 236771, 236778, 236810, 2290, 2342, 506, 83482, 236761, 28344, 611, 37386, 672, 97592, 236881, 7323, 236787, 236743, 236770, 236761, 5315, 236764, 9128, 506, 5213, 67655, 3433, 532, 27339, 1018, 529, 506, 74478, 236789, 2148, 14812, 2290, 1699, 506, 2165, 25541, 236929, 5904, 236761, 236743, 236778, 236761, 4298, 236764, 33205, 506, 5213, 4002, 34637, 26844, 1018, 10916, 573, 600, 10778, 76892, 1699, 506, 2165, 79692, 236929, 5904, 236761, 1174, 795, 5330, 506, 1262, 100146, 607, 506, 5396, 16038, 2290, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 14992, 1083, 623, 14188, 711, 8008, 684, 5904, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10480, 236779, 1896, 1083, 623, 2805, 87892, 7689, 236761, 30638, 19331, 6137, 236787, 2436, 236764, 15284, 236764, 1146, 236779, 2084, 236764, 2434, 236764, 3433, 236764, 7932, 236764, 100468, 236764, 3204, 236779, 495, 1555, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 1896, 1083, 623, 46456, 3433, 2483, 528, 895, 33990, 236874, 236772, 8395, 236772, 21738, 6518, 236764, 2506, 756, 4002, 236779, 1896, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 80043, 1083, 623, 138522, 827, 107, 138, 236775, 14992, 1083, 623, 120384, 74478, 827, 107, 138, 236775, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236778, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 107, 138, 236775, 79692, 1083, 642, 107, 140, 236775, 34899, 1257, 1083, 642, 107, 142, 236775, 8147, 1083, 753, 236770, 236810, 236771, 236764, 107, 142, 236775, 14968, 1083, 900, 236770, 236800, 236771, 107, 140, 1263, 107, 140, 236775, 3947, 236779, 47706, 1083, 642, 107, 142, 236775, 8147, 1083, 642, 107, 144, 236775, 11116, 1083, 753, 236800, 236761, 236810, 236764, 107, 144, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 142, 1263, 107, 142, 236775, 14968, 1083, 642, 107, 144, 236775, 11116, 1083, 900, 236800, 236761, 236810, 236764, 107, 144, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 142, 236783, 107, 140, 1263, 107, 140, 236775, 1749, 236779, 6460, 1083, 642, 107, 142, 236775, 6725, 236779, 11116, 1083, 236743, 236812, 236812, 236761, 236810, 236764, 107, 142, 236775, 1749, 236779, 79692, 1083, 753, 236770, 236771, 236810, 236764, 107, 142, 236775, 6460, 236779, 79692, 1083, 753, 236770, 236770, 236810, 107, 140, 236783, 107, 138, 1263, 107, 138, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 107, 138, 236775, 16350, 236779, 4818, 1083, 623, 1734, 236772, 5567, 827, 107, 138, 236775, 53337, 1083, 623, 78304, 236775, 107, 236783, 106, 107, 105, 4368, 107, 818, 26057, 74478, 236789, 2148, 14812, 2290, 563, 2342, 506, 5213, 104561, 45799, 1018, 580, 5213, 36817, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 657, 26123, 16906, 12219, 568, 1896, 236786, 2289, 236787, 6198, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236770, 236787, 236771, 236771, 8711, 59528, 769, 236743, 108, 10354, 14040, 128960, 139135, 568, 527, 529, 6198, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 1473, 107, 236772, 5213, 35922, 1257, 66515, 138, 107, 138, 236772, 26057, 74478, 236787, 753, 236770, 236810, 236771, 138, 107, 138, 236772, 19662, 45799, 236787, 900, 236770, 236800, 236771, 138, 107, 236772, 5213, 5047, 66599, 66515, 138, 107, 138, 236772, 74478, 753, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 138, 107, 138, 236772, 45799, 900, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 138, 107, 236772, 5213, 4330, 236786, 14713, 66515, 138, 107, 138, 236772, 12613, 36526, 236787, 236743, 236812, 236812, 236761, 236810, 138, 107, 138, 236772, 7178, 236787, 753, 236770, 236771, 236810, 1109, 8382, 236787, 753, 236770, 236770, 236810, 138, 108, 9208, 26844, 7495, 506, 877, 236772, 5567, 2436, 573, 506, 6198, 236743, 236778, 236778, 76892, 236761, 669, 3527, 59725, 691, 2779, 531, 614, 59891, 3433, 528, 506, 4068, 5904, 2246, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2426, 506, 6524, 4241, 2536, 573, 506, 26057, 74478, 532, 1299, 974, 506, 1873, 34637, 26844, 573, 910, 2148, 2290, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 78952, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 120384, 74478, 827, 623, 14968, 1083, 623, 121789, 76502, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236800, 236810, 236764, 623, 14968, 1083, 236743, 236778, 236828, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 1375, 236880, 236774, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236778, 96971, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 135046, 62821, 827, 623, 14968, 1083, 623, 120365, 107875, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236812, 236764, 623, 14968, 1083, 236743, 236778, 236770, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 13238, 3676, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 6136, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 4199, 7591, 73634, 827, 623, 14968, 1083, 623, 4199, 3773, 72161, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236770, 236832, 236764, 623, 14968, 1083, 236743, 236778, 236812, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236823, 183709, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236825, 31675, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 23243, 14322, 236743, 236812, 236819, 616, 827, 623, 14968, 1083, 623, 18939, 13245, 43788, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236800, 236770, 236764, 623, 14968, 1083, 236743, 236770, 236832, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236771, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 170991, 236789, 236751, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 40352, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 229882, 8036, 158557, 827, 623, 14968, 1083, 623, 149480, 68824, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236771, 236764, 623, 14968, 1083, 236743, 236770, 236800, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 152727, 7502, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 119547, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 106053, 4085, 57597, 827, 623, 14968, 1083, 623, 154471, 80721, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236819, 236764, 623, 14968, 1083, 236743, 236770, 236819, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236832, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 32089, 2834, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 16008, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 135151, 72487, 827, 623, 14968, 1083, 623, 114476, 41203, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236832, 236764, 623, 14968, 1083, 236743, 236778, 236812, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236836, 236761, 236773, 236761, 5970, 24933, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 103651, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 49548, 56670, 827, 623, 14968, 1083, 623, 17224, 8036, 83482, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236770, 236832, 236764, 623, 14968, 1083, 236743, 236778, 236771, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 80738, 1099, 12219, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 120430, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 112421, 137216, 827, 623, 14968, 1083, 623, 109180, 102273, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236800, 236764, 623, 14968, 1083, 236743, 236778, 236771, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236798, 16275, 12219, 23179, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236810, 36269, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 135541, 84354, 827, 623, 14968, 1083, 623, 161275, 81828, 23179, 623, 32504, 1083, 3714, 8147, 1083, 236743, 236778, 236812, 236764, 623, 14968, 1083, 236743, 236770, 236832, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236792, 236880, 236774, 5970, 24933, 25938, 1604, 623, 4874, 236779, 5567, 1083, 3714, 10480, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236778, 78952, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 120384, 74478, 827, 623, 14968, 1083, 623, 104561, 45799, 23179, 623, 4818, 1083, 623, 144376, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236778, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 119978, 16906, 12219, 127096, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 79692, 236779, 1516, 1083, 642, 107, 140, 236775, 5567, 1083, 642, 107, 142, 236775, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 107, 142, 236775, 68925, 1083, 642, 107, 144, 236775, 8147, 1083, 623, 120384, 74478, 827, 107, 144, 236775, 14968, 1083, 623, 17224, 8036, 83482, 236775, 107, 142, 1263, 107, 142, 236775, 80043, 1083, 623, 138522, 827, 107, 142, 236775, 53337, 1083, 623, 78304, 236775, 107, 140, 1263, 107, 140, 236775, 16350, 1083, 623, 1734, 236772, 5567, 827, 107, 140, 236775, 79692, 1083, 642, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236810, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236800, 236771, 107, 142, 1263, 107, 142, 236775, 3947, 236779, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 642, 107, 146, 236775, 11116, 1083, 753, 236800, 236761, 236810, 236764, 107, 146, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 144, 1263, 107, 144, 236775, 14968, 1083, 642, 107, 146, 236775, 11116, 1083, 900, 236800, 236761, 236810, 236764, 107, 146, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 144, 236783, 107, 142, 1263, 107, 142, 236775, 1749, 236779, 6460, 1083, 642, 107, 144, 236775, 6725, 1083, 236743, 236812, 236810, 236761, 236810, 236764, 107, 144, 236775, 1749, 236779, 79692, 1083, 753, 236770, 236771, 236810, 236764, 107, 144, 236775, 6460, 236779, 79692, 1083, 753, 236770, 236770, 236810, 107, 142, 236783, 107, 140, 1263, 107, 140, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236832, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 107, 140, 236775, 3917, 236779, 495, 1555, 1083, 2416, 107, 138, 236783, 107, 236783, 106, 107, 105, 4368, 107, 818, 26057, 74478, 236789, 6524, 4241, 691, 580, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 1298, 901, 27522, 506, 20615, 76502, 236743, 236800, 236810, 236772, 236778, 236828, 657, 9928, 236880, 236774, 24933, 236761, 9963, 2148, 14812, 2290, 563, 2342, 506, 19662, 45799, 580, 6198, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 26123, 16906, 12219, 236761, 108, 76171, 34637, 26844, 236764, 506, 1346, 4803, 877, 236772, 5567, 26844, 2487, 659, 573, 496, 3402, 76892, 2342, 506, 7086, 8036, 83482, 568, 1896, 236787, 6027, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 607, 506, 2269, 4463, 236787, 107, 236772, 5213, 35922, 1257, 66515, 74478, 753, 236770, 236810, 236771, 965, 83482, 900, 236770, 236800, 236771, 107, 236772, 5213, 5047, 66599, 66515, 74478, 753, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 965, 83482, 900, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 107, 236772, 5213, 4330, 236786, 14713, 66515, 236743, 236812, 236810, 236761, 236810, 3298, 568, 4330, 753, 236770, 236771, 236810, 965, 8382, 753, 236770, 236770, 236810, 236768, 108, 10282, 236787, 669, 26844, 3505, 659, 573, 496, 2290, 711, 3819, 14812, 528, 506, 12853, 1262, 236761, 669, 5396, 6198, 236743, 236778, 236778, 76892, 2342, 506, 45799, 1149, 735, 1607, 26844, 600, 10050, 236789, 236745, 18367, 528, 672, 3072, 236761, 106, 107, 105, 2364, 107, 818, 1938, 3847, 5072, 531, 735, 496, 59725, 236761, 669, 6524, 4241, 1262, 3831, 506, 74478, 5662, 506, 45799, 580, 6198, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 840, 506, 26844, 9456, 659, 573, 496, 6027, 236743, 236778, 236771, 236778, 236810, 2290, 2342, 506, 83482, 236761, 28344, 611, 37386, 672, 97592, 236881, 7323, 236787, 236743, 236770, 236761, 5315, 236764, 9128, 506, 5213, 67655, 3433, 532, 27339, 1018, 529, 506, 74478, 236789, 2148, 14812, 2290, 1699, 506, 2165, 25541, 236929, 5904, 236761, 236743, 236778, 236761, 4298, 236764, 33205, 506, 5213, 4002, 34637, 26844, 1018, 10916, 573, 600, 10778, 76892, 1699, 506, 2165, 79692, 236929, 5904, 236761, 1174, 795, 5330, 506, 1262, 100146, 607, 506, 5396, 16038, 2290, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 14992, 1083, 623, 14188, 711, 8008, 684, 5904, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10480, 236779, 1896, 1083, 623, 2805, 87892, 7689, 236761, 30638, 19331, 6137, 236787, 2436, 236764, 15284, 236764, 1146, 236779, 2084, 236764, 2434, 236764, 3433, 236764, 7932, 236764, 100468, 236764, 3204, 236779, 495, 1555, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 1896, 1083, 623, 46456, 3433, 2483, 528, 895, 33990, 236874, 236772, 8395, 236772, 21738, 6518, 236764, 2506, 756, 4002, 236779, 1896, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 80043, 1083, 623, 138522, 827, 107, 138, 236775, 14992, 1083, 623, 120384, 74478, 827, 107, 138, 236775, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236778, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 107, 138, 236775, 79692, 1083, 642, 107, 140, 236775, 34899, 1257, 1083, 642, 107, 142, 236775, 8147, 1083, 753, 236770, 236810, 236771, 236764, 107, 142, 236775, 14968, 1083, 900, 236770, 236800, 236771, 107, 140, 1263, 107, 140, 236775, 3947, 236779, 47706, 1083, 642, 107, 142, 236775, 8147, 1083, 642, 107, 144, 236775, 11116, 1083, 753, 236800, 236761, 236810, 236764, 107, 144, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 142, 1263, 107, 142, 236775, 14968, 1083, 642, 107, 144, 236775, 11116, 1083, 900, 236800, 236761, 236810, 236764, 107, 144, 236775, 79692, 1083, 753, 236770, 236770, 236771, 107, 142, 236783, 107, 140, 1263, 107, 140, 236775, 1749, 236779, 6460, 1083, 642, 107, 142, 236775, 6725, 236779, 11116, 1083, 236743, 236812, 236812, 236761, 236810, 236764, 107, 142, 236775, 1749, 236779, 79692, 1083, 753, 236770, 236771, 236810, 236764, 107, 142, 236775, 6460, 236779, 79692, 1083, 753, 236770, 236770, 236810, 107, 140, 236783, 107, 138, 1263, 107, 138, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 107, 138, 236775, 16350, 236779, 4818, 1083, 623, 1734, 236772, 5567, 827, 107, 138, 236775, 53337, 1083, 623, 78304, 236775, 107, 236783, 106, 107, 105, 4368, 107, 818, 26057, 74478, 236789, 2148, 14812, 2290, 563, 2342, 506, 5213, 104561, 45799, 1018, 580, 5213, 36817, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 657, 26123, 16906, 12219, 568, 1896, 236786, 2289, 236787, 6198, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236770, 236787, 236771, 236771, 8711, 59528, 769, 236743, 108, 10354, 14040, 128960, 139135, 568, 527, 529, 6198, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 1473, 107, 236772, 5213, 35922, 1257, 66515, 138, 107, 138, 236772, 26057, 74478, 236787, 753, 236770, 236810, 236771, 138, 107, 138, 236772, 19662, 45799, 236787, 900, 236770, 236800, 236771, 138, 107, 236772, 5213, 5047, 66599, 66515, 138, 107, 138, 236772, 74478, 753, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 138, 107, 138, 236772, 45799, 900, 236800, 236761, 236810, 15554, 236770, 236770, 236771, 236768, 138, 107, 236772, 5213, 4330, 236786, 14713, 66515, 138, 107, 138, 236772, 12613, 36526, 236787, 236743, 236812, 236812, 236761, 236810, 138, 107, 138, 236772, 7178, 236787, 753, 236770, 236771, 236810, 1109, 8382, 236787, 753, 236770, 236770, 236810, 138, 108, 9208, 26844, 7495, 506, 877, 236772, 5567, 2436, 573, 506, 6198, 236743, 236778, 236778, 76892, 236761, 669, 3527, 59725, 691, 2779, 531, 614, 59891, 3433, 528, 506, 4068, 5904, 2246, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 4889, 580, 496, 3530, 1698, 531, 14051, 1041, 2033, 4408, 10884, 573, 31100, 236761, 3199, 611, 2426, 506, 9593, 1698, 607, 5853, 603, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 532, 1463, 623, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 236775, 531, 1460, 1061, 1873, 21212, 532, 15830, 236881, 564, 1461, 531, 5330, 625, 236789, 236751, 18944, 607, 1041, 80734, 573, 9144, 13721, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 827, 623, 1201, 1083, 623, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 236776, 31587, 15425, 236772, 236780, 15039, 5402, 573, 80734, 37031, 236764, 18482, 59674, 236764, 15425, 236772, 236776, 236764, 15425, 236772, 236780, 236764, 15336, 3733, 11863, 236764, 532, 55549, 23961, 531, 1894, 12842, 9144, 13721, 532, 2033, 4408, 108124, 10498, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 1263, 623, 16518, 1083, 3714, 236812, 236855, 59674, 16887, 1083, 1847, 236764, 623, 45439, 236772, 236776, 96408, 1083, 236743, 236800, 236764, 623, 45439, 236772, 236780, 110283, 5348, 1083, 236743, 236770, 236764, 623, 8209, 9981, 43051, 1083, 1847, 236764, 623, 128038, 2108, 5348, 1083, 1847, 236764, 623, 19253, 9020, 151162, 1083, 623, 3243, 4681, 607, 15425, 236772, 236780, 23961, 127096, 106, 107, 105, 4368, 107, 818, 5213, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 1018, 568, 1735, 236787, 603, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 236768, 563, 614, 7516, 5313, 573, 822, 80734, 236772, 5140, 2033, 4408, 10884, 236761, 5715, 659, 506, 2307, 4889, 236787, 108, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 23058, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 236772, 5213, 107405, 66515, 20016, 607, 784, 80734, 4681, 18482, 15425, 236772, 236780, 23961, 236761, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236812, 236855, 59674, 3938, 573, 8398, 37845, 138, 107, 138, 236772, 236743, 236800, 15425, 236772, 236776, 23961, 573, 113019, 568, 236744, 236761, 236759, 1126, 15422, 236764, 11866, 236768, 138, 107, 138, 236772, 15425, 236772, 236780, 19416, 2411, 531, 2066, 822, 80734, 138, 107, 138, 236772, 15336, 3733, 11863, 573, 2129, 29181, 138, 107, 138, 236772, 55549, 2411, 573, 10385, 8379, 1913, 9144, 13721, 138, 108, 1018, 19952, 51474, 66515, 138, 107, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 4398, 14470, 568, 236770, 236778, 236764, 236810, 236771, 236771, 236862, 10595, 236768, 138, 107, 236772, 20354, 2470, 573, 21016, 236764, 2411, 6236, 236764, 532, 12842, 80734, 12434, 236761, 138, 108, 2094, 15039, 19246, 784, 822, 9144, 5395, 3548, 568, 4971, 236764, 19416, 236764, 55549, 236768, 1651, 10264, 822, 43355, 13957, 236761, 44096, 531, 7162, 607, 506, 7408, 236881, 106, 107, 105, 2364, 107, 6445, 600, 506, 15039, 5724, 1535, 236764, 564, 1374, 2426, 496, 81159, 531, 6727, 607, 625, 573, 4430, 9139, 236761, 3199, 611, 1385, 872, 506, 623, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 236775, 568, 5930, 5853, 603, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 531, 9128, 1061, 37031, 607, 6989, 35243, 532, 2426, 768, 625, 5132, 496, 5284, 236772, 495, 38742, 236881, 564, 1461, 531, 5330, 12707, 236772, 9347, 2948, 532, 9855, 573, 9144, 13721, 2180, 38702, 4481, 113019, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 827, 623, 5930, 236779, 1201, 1083, 623, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 827, 623, 7777, 1083, 623, 236770, 236771, 236828, 236771, 236758, 11876, 81159, 607, 5284, 236772, 495, 14413, 115929, 236764, 99576, 236764, 532, 2214, 19830, 236761, 98263, 607, 7993, 236764, 6989, 236764, 532, 27165, 16080, 4323, 15425, 10818, 236772, 624, 236772, 1555, 10498, 623, 9707, 1083, 6610, 236825, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 25016, 236779, 13126, 1083, 623, 236812, 236761, 236825, 236786, 236810, 827, 623, 16518, 1083, 3714, 12919, 236779, 42452, 1083, 1847, 236764, 623, 25089, 236779, 495, 236779, 10205, 1083, 1847, 236764, 623, 10540, 236779, 35396, 1083, 623, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 657, 236743, 236800, 236771, 40426, 827, 623, 138097, 1083, 623, 45439, 236743, 236778, 236761, 236771, 23179, 623, 23184, 1083, 623, 49316, 58912, 607, 80734, 1255, 236786, 17995, 4681, 568, 236778, 236771, 236770, 236778, 236862, 769, 44653, 236772, 495, 115929, 1894, 9168, 9095, 573, 3582, 9855, 528, 9144, 13721, 1781, 236783, 106, 107, 105, 4368, 107, 818, 5213, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 1018, 568, 1735, 236787, 603, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 563, 614, 7436, 4241, 573, 822, 80734, 2033, 4408, 10884, 236761, 5715, 236858, 236751, 3217, 625, 19009, 822, 3548, 236787, 138, 108, 236772, 5213, 19253, 151162, 66515, 20016, 58912, 607, 80734, 1255, 236786, 17995, 568, 236778, 236771, 236770, 236778, 51811, 4323, 15425, 10818, 236772, 624, 236772, 1555, 236761, 138, 107, 236772, 5213, 73239, 236772, 902, 213545, 66515, 8438, 236888, 25772, 5213, 57375, 9168, 236772, 151273, 115929, 1018, 573, 3582, 9855, 1913, 4430, 9139, 568, 1904, 4481, 12682, 4354, 769, 138, 107, 236772, 5213, 10485, 19779, 66515, 236743, 236770, 236771, 236828, 236771, 236758, 11876, 657, 236743, 236800, 236771, 40426, 607, 99576, 532, 2214, 19830, 573, 14658, 62325, 236761, 138, 107, 236772, 5213, 144023, 66515, 15425, 236743, 236778, 236761, 236771, 568, 79130, 18944, 607, 15425, 236743, 236800, 236761, 236771, 73696, 1133, 506, 1455, 5806, 2028, 769, 138, 107, 236772, 5213, 11280, 66515, 609, 236825, 236819, 236761, 236819, 236819, 23058, 568, 902, 13827, 236768, 138, 107, 236772, 5213, 19952, 51474, 66515, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 568, 56842, 2470, 573, 21016, 236764, 13358, 529, 10884, 236764, 532, 5707, 236772, 9619, 9855, 236786, 10540, 769, 138, 108, 1018, 203949, 66515, 1174, 81159, 13526, 822, 6035, 237028, 85593, 236772, 9347, 2948, 236764, 5284, 236772, 495, 208465, 236764, 532, 6989, 37031, 237028, 31048, 38702, 4767, 113019, 236761, 58108, 625, 607, 506, 1455, 5806, 15039, 573, 496, 75885, 236764, 5707, 9144, 5395, 10884, 236761, 44096, 531, 7162, 236881, 106, 107, 105, 2364, 107, 8574, 611, 16807, 768, 506, 5213, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 1018, 568, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 532, 506, 5213, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 1018, 568, 236799, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 236768, 659, 18944, 1056, 6638, 1343, 506, 15039, 236858, 236751, 15425, 236772, 236776, 23961, 236881, 564, 1461, 531, 5330, 506, 81159, 236858, 236751, 236743, 236770, 236771, 236828, 236771, 236758, 2948, 532, 14413, 208465, 981, 58912, 1343, 506, 15039, 2180, 2066, 653, 1262, 4921, 4342, 236761, 6542, 236764, 2426, 768, 1027, 9593, 10595, 4928, 1699, 1239, 1156, 3211, 3075, 573, 9144, 13721, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 827, 623, 5930, 236779, 1201, 1083, 623, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 827, 623, 9707, 1083, 6610, 236825, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 236770, 236771, 236828, 236771, 236758, 11876, 81159, 607, 14413, 5284, 236772, 495, 115929, 236764, 6282, 2214, 19830, 236764, 532, 15425, 236743, 236778, 236761, 236771, 27347, 236761, 98263, 607, 7993, 236764, 6989, 236764, 532, 27165, 16080, 10498, 623, 56905, 1083, 623, 902, 13827, 827, 623, 13126, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 2478, 236779, 16518, 1083, 11058, 236770, 236771, 236828, 236771, 236758, 2948, 827, 623, 101581, 208465, 827, 623, 69249, 590, 4887, 152254, 623, 66850, 1083, 78493, 94156, 1083, 623, 49316, 174109, 607, 15425, 73696, 573, 2948, 9139, 827, 623, 3063, 1083, 623, 38770, 672, 81159, 531, 496, 15425, 15039, 607, 951, 10783, 653, 2066, 4342, 236761, 8098, 573, 32520, 13721, 10498, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 94156, 1083, 623, 22631, 9855, 532, 2948, 236764, 840, 15408, 11949, 827, 623, 3063, 1083, 623, 118783, 14658, 236743, 236770, 236771, 236828, 236771, 236758, 15339, 236761, 18272, 3325, 563, 5139, 236764, 840, 4045, 15408, 17707, 29972, 10498, 623, 87622, 236779, 73769, 1083, 1847, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 5930, 547, 827, 623, 5930, 1201, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 818, 5213, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 1018, 568, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 532, 506, 5213, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 1018, 568, 236799, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 236768, 659, 5213, 3846, 18944, 1018, 1056, 6638, 4323, 506, 15039, 236858, 236751, 15425, 236772, 236776, 23961, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 10354, 5213, 58972, 151162, 1018, 138, 107, 236772, 669, 1455, 5806, 15039, 4728, 5213, 45439, 236772, 236776, 236743, 236800, 236761, 236771, 23961, 1018, 568, 79130, 18944, 607, 15425, 236743, 236778, 236761, 236771, 7359, 1133, 506, 565, 236819, 236778, 236771, 81159, 769, 138, 107, 236772, 669, 81159, 236858, 236751, 5213, 236770, 236771, 236828, 236771, 236758, 2948, 532, 14413, 115929, 1018, 795, 1292, 2180, 2066, 236786, 1516, 4921, 4342, 236764, 618, 506, 15039, 14767, 7271, 2066, 568, 15218, 15425, 236772, 236780, 2982, 213283, 236768, 532, 29756, 573, 15425, 236743, 236778, 236761, 236771, 7359, 236761, 138, 107, 236772, 10508, 3211, 659, 5213, 19253, 9020, 236772, 42452, 125546, 17096, 12842, 12434, 607, 822, 10884, 236761, 138, 108, 10354, 5213, 39460, 31727, 76374, 1018, 138, 107, 236772, 5213, 4153, 65140, 565, 236819, 236778, 236771, 31727, 66515, 138, 107, 138, 236772, 3656, 27662, 3540, 25010, 5022, 236787, 165996, 49316, 174109, 607, 15425, 73696, 573, 2948, 9139, 147698, 568, 1904, 10783, 653, 2066, 4342, 769, 138, 107, 138, 236772, 2301, 1982, 42298, 529, 39364, 607, 506, 1455, 5806, 15039, 236764, 840, 5089, 9128, 21016, 607, 3361, 73696, 236761, 138, 107, 236772, 5213, 2267, 5806, 19839, 31727, 66515, 138, 107, 138, 236772, 13752, 1161, 3636, 3204, 18024, 4108, 236755, 1853, 236764, 8398, 21090, 236764, 532, 113019, 573, 9144, 13721, 236761, 138, 107, 138, 236772, 2301, 7248, 529, 37031, 28847, 607, 15425, 236743, 236778, 236761, 236771, 7359, 1133, 506, 565, 236819, 236778, 236771, 236761, 138, 108, 10354, 5213, 17667, 111506, 1018, 138, 107, 3048, 740, 79269, 6727, 1239, 7359, 236761, 669, 1455, 5806, 15039, 236858, 236751, 15425, 236772, 236776, 23961, 795, 2066, 532, 17730, 607, 506, 565, 236819, 236778, 236771, 81159, 174109, 236764, 11584, 236743, 236770, 236771, 236828, 236771, 236758, 2948, 532, 14413, 236772, 10205, 9855, 573, 9144, 13721, 236761, 2301, 4767, 113019, 568, 236744, 236761, 236759, 1126, 8398, 208465, 236768, 659, 4354, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 44511, 1800, 4852, 568, 75345, 528, 2862, 769, 138, 107, 236772, 14450, 506, 81159, 531, 506, 15039, 236858, 236751, 15425, 236772, 236776, 2411, 573, 496, 65903, 236772, 6796, 236764, 1494, 236772, 32677, 2033, 4408, 10884, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 42290, 9851, 653, 3342, 183660, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 4889, 580, 496, 3530, 1698, 531, 14051, 1041, 2033, 4408, 10884, 573, 31100, 236761, 3199, 611, 2426, 506, 9593, 1698, 607, 5853, 603, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 532, 1463, 623, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 236775, 531, 1460, 1061, 1873, 21212, 532, 15830, 236881, 564, 1461, 531, 5330, 625, 236789, 236751, 18944, 607, 1041, 80734, 573, 9144, 13721, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 827, 623, 1201, 1083, 623, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 236776, 31587, 15425, 236772, 236780, 15039, 5402, 573, 80734, 37031, 236764, 18482, 59674, 236764, 15425, 236772, 236776, 236764, 15425, 236772, 236780, 236764, 15336, 3733, 11863, 236764, 532, 55549, 23961, 531, 1894, 12842, 9144, 13721, 532, 2033, 4408, 108124, 10498, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 1263, 623, 16518, 1083, 3714, 236812, 236855, 59674, 16887, 1083, 1847, 236764, 623, 45439, 236772, 236776, 96408, 1083, 236743, 236800, 236764, 623, 45439, 236772, 236780, 110283, 5348, 1083, 236743, 236770, 236764, 623, 8209, 9981, 43051, 1083, 1847, 236764, 623, 128038, 2108, 5348, 1083, 1847, 236764, 623, 19253, 9020, 151162, 1083, 623, 3243, 4681, 607, 15425, 236772, 236780, 23961, 127096, 106, 107, 105, 4368, 107, 818, 5213, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 1018, 568, 1735, 236787, 603, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 236768, 563, 614, 7516, 5313, 573, 822, 80734, 236772, 5140, 2033, 4408, 10884, 236761, 5715, 659, 506, 2307, 4889, 236787, 108, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 23058, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 236772, 5213, 107405, 66515, 20016, 607, 784, 80734, 4681, 18482, 15425, 236772, 236780, 23961, 236761, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236812, 236855, 59674, 3938, 573, 8398, 37845, 138, 107, 138, 236772, 236743, 236800, 15425, 236772, 236776, 23961, 573, 113019, 568, 236744, 236761, 236759, 1126, 15422, 236764, 11866, 236768, 138, 107, 138, 236772, 15425, 236772, 236780, 19416, 2411, 531, 2066, 822, 80734, 138, 107, 138, 236772, 15336, 3733, 11863, 573, 2129, 29181, 138, 107, 138, 236772, 55549, 2411, 573, 10385, 8379, 1913, 9144, 13721, 138, 108, 1018, 19952, 51474, 66515, 138, 107, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 4398, 14470, 568, 236770, 236778, 236764, 236810, 236771, 236771, 236862, 10595, 236768, 138, 107, 236772, 20354, 2470, 573, 21016, 236764, 2411, 6236, 236764, 532, 12842, 80734, 12434, 236761, 138, 108, 2094, 15039, 19246, 784, 822, 9144, 5395, 3548, 568, 4971, 236764, 19416, 236764, 55549, 236768, 1651, 10264, 822, 43355, 13957, 236761, 44096, 531, 7162, 607, 506, 7408, 236881, 106, 107, 105, 2364, 107, 6445, 600, 506, 15039, 5724, 1535, 236764, 564, 1374, 2426, 496, 81159, 531, 6727, 607, 625, 573, 4430, 9139, 236761, 3199, 611, 1385, 872, 506, 623, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 236775, 568, 5930, 5853, 603, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 531, 9128, 1061, 37031, 607, 6989, 35243, 532, 2426, 768, 625, 5132, 496, 5284, 236772, 495, 38742, 236881, 564, 1461, 531, 5330, 12707, 236772, 9347, 2948, 532, 9855, 573, 9144, 13721, 2180, 38702, 4481, 113019, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 827, 623, 5930, 236779, 1201, 1083, 623, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 827, 623, 7777, 1083, 623, 236770, 236771, 236828, 236771, 236758, 11876, 81159, 607, 5284, 236772, 495, 14413, 115929, 236764, 99576, 236764, 532, 2214, 19830, 236761, 98263, 607, 7993, 236764, 6989, 236764, 532, 27165, 16080, 4323, 15425, 10818, 236772, 624, 236772, 1555, 10498, 623, 9707, 1083, 6610, 236825, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 25016, 236779, 13126, 1083, 623, 236812, 236761, 236825, 236786, 236810, 827, 623, 16518, 1083, 3714, 12919, 236779, 42452, 1083, 1847, 236764, 623, 25089, 236779, 495, 236779, 10205, 1083, 1847, 236764, 623, 10540, 236779, 35396, 1083, 623, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 657, 236743, 236800, 236771, 40426, 827, 623, 138097, 1083, 623, 45439, 236743, 236778, 236761, 236771, 23179, 623, 23184, 1083, 623, 49316, 58912, 607, 80734, 1255, 236786, 17995, 4681, 568, 236778, 236771, 236770, 236778, 236862, 769, 44653, 236772, 495, 115929, 1894, 9168, 9095, 573, 3582, 9855, 528, 9144, 13721, 1781, 236783, 106, 107, 105, 4368, 107, 818, 5213, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 1018, 568, 1735, 236787, 603, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 563, 614, 7436, 4241, 573, 822, 80734, 2033, 4408, 10884, 236761, 5715, 236858, 236751, 3217, 625, 19009, 822, 3548, 236787, 138, 108, 236772, 5213, 19253, 151162, 66515, 20016, 58912, 607, 80734, 1255, 236786, 17995, 568, 236778, 236771, 236770, 236778, 51811, 4323, 15425, 10818, 236772, 624, 236772, 1555, 236761, 138, 107, 236772, 5213, 73239, 236772, 902, 213545, 66515, 8438, 236888, 25772, 5213, 57375, 9168, 236772, 151273, 115929, 1018, 573, 3582, 9855, 1913, 4430, 9139, 568, 1904, 4481, 12682, 4354, 769, 138, 107, 236772, 5213, 10485, 19779, 66515, 236743, 236770, 236771, 236828, 236771, 236758, 11876, 657, 236743, 236800, 236771, 40426, 607, 99576, 532, 2214, 19830, 573, 14658, 62325, 236761, 138, 107, 236772, 5213, 144023, 66515, 15425, 236743, 236778, 236761, 236771, 568, 79130, 18944, 607, 15425, 236743, 236800, 236761, 236771, 73696, 1133, 506, 1455, 5806, 2028, 769, 138, 107, 236772, 5213, 11280, 66515, 609, 236825, 236819, 236761, 236819, 236819, 23058, 568, 902, 13827, 236768, 138, 107, 236772, 5213, 19952, 51474, 66515, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 568, 56842, 2470, 573, 21016, 236764, 13358, 529, 10884, 236764, 532, 5707, 236772, 9619, 9855, 236786, 10540, 769, 138, 108, 1018, 203949, 66515, 1174, 81159, 13526, 822, 6035, 237028, 85593, 236772, 9347, 2948, 236764, 5284, 236772, 495, 208465, 236764, 532, 6989, 37031, 237028, 31048, 38702, 4767, 113019, 236761, 58108, 625, 607, 506, 1455, 5806, 15039, 573, 496, 75885, 236764, 5707, 9144, 5395, 10884, 236761, 44096, 531, 7162, 236881, 106, 107, 105, 2364, 107, 8574, 611, 16807, 768, 506, 5213, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 1018, 568, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 532, 506, 5213, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 1018, 568, 236799, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 236768, 659, 18944, 1056, 6638, 1343, 506, 15039, 236858, 236751, 15425, 236772, 236776, 23961, 236881, 564, 1461, 531, 5330, 506, 81159, 236858, 236751, 236743, 236770, 236771, 236828, 236771, 236758, 2948, 532, 14413, 208465, 981, 58912, 1343, 506, 15039, 2180, 2066, 653, 1262, 4921, 4342, 236761, 6542, 236764, 2426, 768, 1027, 9593, 10595, 4928, 1699, 1239, 1156, 3211, 3075, 573, 9144, 13721, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 827, 623, 5930, 236779, 1201, 1083, 623, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 827, 623, 9707, 1083, 6610, 236825, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 236770, 236771, 236828, 236771, 236758, 11876, 81159, 607, 14413, 5284, 236772, 495, 115929, 236764, 6282, 2214, 19830, 236764, 532, 15425, 236743, 236778, 236761, 236771, 27347, 236761, 98263, 607, 7993, 236764, 6989, 236764, 532, 27165, 16080, 10498, 623, 56905, 1083, 623, 902, 13827, 827, 623, 13126, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 2478, 236779, 16518, 1083, 11058, 236770, 236771, 236828, 236771, 236758, 2948, 827, 623, 101581, 208465, 827, 623, 69249, 590, 4887, 152254, 623, 66850, 1083, 78493, 94156, 1083, 623, 49316, 174109, 607, 15425, 73696, 573, 2948, 9139, 827, 623, 3063, 1083, 623, 38770, 672, 81159, 531, 496, 15425, 15039, 607, 951, 10783, 653, 2066, 4342, 236761, 8098, 573, 32520, 13721, 10498, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 94156, 1083, 623, 22631, 9855, 532, 2948, 236764, 840, 15408, 11949, 827, 623, 3063, 1083, 623, 118783, 14658, 236743, 236770, 236771, 236828, 236771, 236758, 15339, 236761, 18272, 3325, 563, 5139, 236764, 840, 4045, 15408, 17707, 29972, 10498, 623, 87622, 236779, 73769, 1083, 1847, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 5930, 547, 827, 623, 5930, 1201, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 818, 5213, 4153, 65140, 565, 236819, 236778, 236771, 11876, 1255, 190283, 1018, 568, 236799, 236771, 236771, 236777, 236800, 236800, 236778, 236811, 27651, 236768, 532, 506, 5213, 2267, 5806, 7338, 61728, 236862, 236743, 236832, 236772, 495, 236772, 236770, 15425, 236772, 236780, 19839, 1018, 568, 236799, 236771, 236828, 236797, 236770, 236935, 236832, 236935, 90295, 236768, 659, 5213, 3846, 18944, 1018, 1056, 6638, 4323, 506, 15039, 236858, 236751, 15425, 236772, 236776, 23961, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 10354, 5213, 58972, 151162, 1018, 138, 107, 236772, 669, 1455, 5806, 15039, 4728, 5213, 45439, 236772, 236776, 236743, 236800, 236761, 236771, 23961, 1018, 568, 79130, 18944, 607, 15425, 236743, 236778, 236761, 236771, 7359, 1133, 506, 565, 236819, 236778, 236771, 81159, 769, 138, 107, 236772, 669, 81159, 236858, 236751, 5213, 236770, 236771, 236828, 236771, 236758, 2948, 532, 14413, 115929, 1018, 795, 1292, 2180, 2066, 236786, 1516, 4921, 4342, 236764, 618, 506, 15039, 14767, 7271, 2066, 568, 15218, 15425, 236772, 236780, 2982, 213283, 236768, 532, 29756, 573, 15425, 236743, 236778, 236761, 236771, 7359, 236761, 138, 107, 236772, 10508, 3211, 659, 5213, 19253, 9020, 236772, 42452, 125546, 17096, 12842, 12434, 607, 822, 10884, 236761, 138, 108, 10354, 5213, 39460, 31727, 76374, 1018, 138, 107, 236772, 5213, 4153, 65140, 565, 236819, 236778, 236771, 31727, 66515, 138, 107, 138, 236772, 3656, 27662, 3540, 25010, 5022, 236787, 165996, 49316, 174109, 607, 15425, 73696, 573, 2948, 9139, 147698, 568, 1904, 10783, 653, 2066, 4342, 769, 138, 107, 138, 236772, 2301, 1982, 42298, 529, 39364, 607, 506, 1455, 5806, 15039, 236764, 840, 5089, 9128, 21016, 607, 3361, 73696, 236761, 138, 107, 236772, 5213, 2267, 5806, 19839, 31727, 66515, 138, 107, 138, 236772, 13752, 1161, 3636, 3204, 18024, 4108, 236755, 1853, 236764, 8398, 21090, 236764, 532, 113019, 573, 9144, 13721, 236761, 138, 107, 138, 236772, 2301, 7248, 529, 37031, 28847, 607, 15425, 236743, 236778, 236761, 236771, 7359, 1133, 506, 565, 236819, 236778, 236771, 236761, 138, 108, 10354, 5213, 17667, 111506, 1018, 138, 107, 3048, 740, 79269, 6727, 1239, 7359, 236761, 669, 1455, 5806, 15039, 236858, 236751, 15425, 236772, 236776, 23961, 795, 2066, 532, 17730, 607, 506, 565, 236819, 236778, 236771, 81159, 174109, 236764, 11584, 236743, 236770, 236771, 236828, 236771, 236758, 2948, 532, 14413, 236772, 10205, 9855, 573, 9144, 13721, 236761, 2301, 4767, 113019, 568, 236744, 236761, 236759, 1126, 8398, 208465, 236768, 659, 4354, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 44511, 1800, 4852, 568, 75345, 528, 2862, 769, 138, 107, 236772, 14450, 506, 81159, 531, 506, 15039, 236858, 236751, 15425, 236772, 236776, 2411, 573, 496, 65903, 236772, 6796, 236764, 1494, 236772, 32677, 2033, 4408, 10884, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 42290, 9851, 653, 3342, 183660, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 784, 14491, 529, 4945, 528, 506, 1694, 870, 236778, 236764, 236743, 236812, 236764, 236743, 236825, 236764, 236743, 236828, 236764, 236743, 236770, 236771, 236842, 600, 2324, 872, 531, 236743, 236770, 236771, 236761, 106, 107, 105, 4368, 107, 818, 4209, 531, 1586, 14491, 529, 4945, 528, 506, 1694, 600, 2324, 531, 236743, 236770, 236771, 3914, 577, 7723, 1699, 506, 3847, 6436, 236761, 5450, 529, 506, 2487, 5151, 568, 236763, 49154, 5499, 3877, 236764, 6828, 7623, 236764, 653, 16505, 9254, 236768, 659, 5402, 573, 3499, 37226, 653, 99777, 6727, 15621, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 784, 14491, 529, 4945, 528, 506, 1694, 870, 236778, 236764, 236743, 236812, 236764, 236743, 236825, 236764, 236743, 236828, 236764, 236743, 236770, 236771, 236842, 600, 2324, 872, 531, 236743, 236770, 236771, 236761, 106, 107, 105, 4368, 107, 818, 4209, 531, 1586, 14491, 529, 4945, 528, 506, 1694, 600, 2324, 531, 236743, 236770, 236771, 3914, 577, 7723, 1699, 506, 3847, 6436, 236761, 5450, 529, 506, 2487, 5151, 568, 236763, 49154, 5499, 3877, 236764, 6828, 7623, 236764, 653, 16505, 9254, 236768, 659, 5402, 573, 3499, 37226, 653, 99777, 6727, 15621, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 30493, 496, 3399, 59919, 18006, 657, 1041, 5226, 6853, 236789, 236751, 32095, 4762, 528, 5054, 10503, 236761, 5315, 236764, 1586, 2263, 59919, 7974, 528, 1023, 2433, 236761, 4298, 2426, 910, 4803, 4241, 90915, 531, 2619, 20433, 7974, 236761, 13472, 236764, 3600, 506, 1791, 16038, 4241, 14069, 2721, 580, 910, 30916, 236761, 3199, 611, 1601, 607, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68925, 1083, 78493, 547, 1083, 236743, 236770, 236771, 236770, 236764, 623, 1201, 1083, 623, 23243, 10503, 32336, 827, 623, 10618, 1083, 623, 84136, 149807, 827, 623, 80043, 1083, 623, 54128, 56928, 11849, 9654, 827, 623, 6109, 1083, 623, 118538, 52144, 14669, 27916, 827, 623, 25541, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 157638, 1083, 623, 27930, 14133, 153487, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236770, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236778, 827, 623, 157638, 1083, 623, 26195, 34422, 68824, 827, 623, 3709, 1083, 623, 43279, 236743, 236778, 236772, 236800, 236775, 200808, 3714, 547, 1083, 236743, 236778, 236771, 236810, 236764, 623, 1201, 1083, 623, 182108, 11849, 2177, 727, 616, 827, 623, 10618, 1083, 623, 181673, 126991, 827, 623, 80043, 1083, 623, 72982, 7151, 151767, 8096, 827, 623, 6109, 1083, 623, 23243, 10503, 4085, 7430, 44876, 827, 623, 25541, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 157638, 1083, 623, 89354, 36580, 102476, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236771, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236810, 827, 623, 157638, 1083, 623, 23243, 14322, 50339, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236778, 236775, 15947, 104960, 623, 6725, 236779, 68925, 1083, 236743, 236812, 236778, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236810, 236771, 236764, 623, 28881, 236779, 103411, 1083, 3714, 14801, 1083, 623, 27211, 4184, 568, 32279, 236743, 236828, 236812, 236771, 22730, 623, 17846, 1083, 236743, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 17846, 1083, 623, 46456, 11995, 236764, 2506, 2483, 827, 623, 10617, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 80043, 236779, 547, 1083, 623, 236798, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 23243, 10503, 11493, 151767, 9654, 827, 623, 19458, 1083, 623, 35734, 236743, 236778, 236771, 236778, 236812, 827, 623, 2244, 1013, 1083, 78493, 14992, 236779, 547, 1083, 623, 236770, 236771, 236770, 827, 623, 15080, 1083, 236743, 236770, 236764, 623, 76339, 1083, 236743, 236828, 236764, 623, 74718, 1083, 236743, 236778, 1263, 3714, 14992, 236779, 547, 1083, 623, 236770, 236771, 236778, 827, 623, 15080, 1083, 236743, 236778, 236764, 623, 76339, 1083, 236743, 236832, 236764, 623, 74718, 1083, 236743, 236800, 104960, 623, 170194, 236779, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 236792, 236832, 236828, 236819, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 68925, 1083, 11058, 18373, 168170, 827, 623, 18373, 2177, 727, 616, 152254, 3714, 10480, 236779, 547, 1083, 623, 236792, 236832, 236819, 236771, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 68925, 1083, 11058, 18373, 9429, 9964, 827, 623, 18373, 16110, 616, 1935, 15947, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4002, 236779, 10617, 1083, 236743, 236771, 236764, 623, 4000, 236779, 2086, 1083, 236743, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 14992, 236779, 547, 1083, 236743, 236778, 236771, 236810, 236764, 623, 14992, 236779, 1201, 1083, 623, 23243, 10503, 95580, 37463, 827, 623, 80043, 236779, 2244, 1013, 1083, 3714, 15080, 1083, 236743, 236800, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236778, 236764, 623, 76339, 1083, 236743, 236828, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 11116, 1083, 236743, 236778, 236812, 1263, 623, 43852, 236779, 25541, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 157638, 1083, 623, 54128, 56928, 144093, 616, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236770, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 157638, 1083, 623, 202514, 12064, 168170, 827, 623, 3709, 1083, 623, 43279, 236743, 236778, 236772, 236800, 25938, 1604, 623, 170194, 236779, 41413, 1083, 11058, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236819, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 2263, 59919, 7974, 532, 910, 15830, 573, 822, 3399, 18006, 236787, 108, 1018, 13149, 46001, 7989, 568, 23243, 10503, 14133, 1473, 1018, 107, 236770, 236761, 5213, 23243, 10503, 32336, 1018, 568, 18373, 5853, 236787, 236743, 236770, 236771, 236770, 236768, 107, 139, 236772, 9654, 236787, 5054, 10503, 11493, 151767, 9654, 568, 35734, 236743, 236778, 236771, 236778, 236812, 236768, 107, 139, 236772, 8383, 1013, 236787, 236743, 236770, 540, 1977, 568, 236828, 18779, 236764, 236743, 236778, 14672, 236768, 107, 139, 236772, 34980, 145918, 236787, 236743, 107, 141, 236772, 13357, 7728, 236761, 8036, 14133, 153487, 568, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 141, 236772, 28374, 7728, 236761, 48400, 68824, 568, 30651, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 157542, 145918, 236787, 5505, 236743, 236778, 236771, 236772, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 568, 14210, 236787, 1239, 14069, 1149, 577, 59891, 236768, 108, 236778, 236761, 5213, 182108, 11849, 2177, 727, 616, 1018, 568, 18373, 5853, 236787, 236743, 236778, 236771, 236810, 236768, 107, 139, 236772, 9654, 236787, 15632, 7151, 151767, 8096, 107, 139, 236772, 8383, 1013, 236787, 236743, 236800, 7221, 1977, 568, 236828, 18779, 236764, 236743, 236812, 14672, 236768, 107, 139, 236772, 34980, 145918, 236787, 107, 141, 236772, 13357, 7728, 236761, 13600, 56928, 144093, 616, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 141, 236772, 28374, 7728, 236761, 165783, 168170, 568, 27393, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 157542, 145918, 236787, 5365, 236743, 236810, 236764, 236743, 236770, 236778, 236764, 532, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 108, 1018, 9272, 50228, 573, 51544, 22113, 53121, 107, 236770, 236761, 5213, 61728, 10765, 4361, 66515, 7179, 3104, 236743, 236778, 529, 2536, 684, 544, 236772, 24825, 506, 2165, 68925, 236929, 1292, 607, 2165, 10617, 236784, 236810, 236771, 236929, 531, 1586, 919, 2263, 7974, 236761, 107, 236778, 236761, 5213, 25846, 46001, 66515, 18186, 580, 1873, 90915, 236764, 611, 1451, 6727, 236787, 107, 139, 236772, 8231, 236772, 72101, 5054, 10503, 32336, 607, 3718, 236772, 72101, 7974, 568, 20073, 8385, 236768, 107, 139, 236772, 56125, 11849, 2177, 727, 616, 607, 5453, 236772, 43289, 7974, 107, 236800, 236761, 5213, 39656, 145918, 66515, 669, 29435, 2487, 14069, 699, 1873, 1262, 659, 5365, 236743, 236810, 236772, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 840, 611, 236789, 859, 1202, 531, 16807, 1239, 607, 506, 7974, 5467, 236761, 108, 38786, 611, 1133, 531, 3927, 573, 919, 7974, 653, 59638, 506, 10368, 3835, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 30493, 496, 3399, 59919, 18006, 657, 1041, 5226, 6853, 236789, 236751, 32095, 4762, 528, 5054, 10503, 236761, 5315, 236764, 1586, 2263, 59919, 7974, 528, 1023, 2433, 236761, 4298, 2426, 910, 4803, 4241, 90915, 531, 2619, 20433, 7974, 236761, 13472, 236764, 3600, 506, 1791, 16038, 4241, 14069, 2721, 580, 910, 30916, 236761, 3199, 611, 1601, 607, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68925, 1083, 78493, 547, 1083, 236743, 236770, 236771, 236770, 236764, 623, 1201, 1083, 623, 23243, 10503, 32336, 827, 623, 10618, 1083, 623, 84136, 149807, 827, 623, 80043, 1083, 623, 54128, 56928, 11849, 9654, 827, 623, 6109, 1083, 623, 118538, 52144, 14669, 27916, 827, 623, 25541, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 157638, 1083, 623, 27930, 14133, 153487, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236770, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236778, 827, 623, 157638, 1083, 623, 26195, 34422, 68824, 827, 623, 3709, 1083, 623, 43279, 236743, 236778, 236772, 236800, 236775, 200808, 3714, 547, 1083, 236743, 236778, 236771, 236810, 236764, 623, 1201, 1083, 623, 182108, 11849, 2177, 727, 616, 827, 623, 10618, 1083, 623, 181673, 126991, 827, 623, 80043, 1083, 623, 72982, 7151, 151767, 8096, 827, 623, 6109, 1083, 623, 23243, 10503, 4085, 7430, 44876, 827, 623, 25541, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 157638, 1083, 623, 89354, 36580, 102476, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236771, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236810, 827, 623, 157638, 1083, 623, 23243, 14322, 50339, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236778, 236775, 15947, 104960, 623, 6725, 236779, 68925, 1083, 236743, 236812, 236778, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236810, 236771, 236764, 623, 28881, 236779, 103411, 1083, 3714, 14801, 1083, 623, 27211, 4184, 568, 32279, 236743, 236828, 236812, 236771, 22730, 623, 17846, 1083, 236743, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 17846, 1083, 623, 46456, 11995, 236764, 2506, 2483, 827, 623, 10617, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 80043, 236779, 547, 1083, 623, 236798, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 23243, 10503, 11493, 151767, 9654, 827, 623, 19458, 1083, 623, 35734, 236743, 236778, 236771, 236778, 236812, 827, 623, 2244, 1013, 1083, 78493, 14992, 236779, 547, 1083, 623, 236770, 236771, 236770, 827, 623, 15080, 1083, 236743, 236770, 236764, 623, 76339, 1083, 236743, 236828, 236764, 623, 74718, 1083, 236743, 236778, 1263, 3714, 14992, 236779, 547, 1083, 623, 236770, 236771, 236778, 827, 623, 15080, 1083, 236743, 236778, 236764, 623, 76339, 1083, 236743, 236832, 236764, 623, 74718, 1083, 236743, 236800, 104960, 623, 170194, 236779, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 236792, 236832, 236828, 236819, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 68925, 1083, 11058, 18373, 168170, 827, 623, 18373, 2177, 727, 616, 152254, 3714, 10480, 236779, 547, 1083, 623, 236792, 236832, 236819, 236771, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 68925, 1083, 11058, 18373, 9429, 9964, 827, 623, 18373, 16110, 616, 1935, 15947, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4002, 236779, 10617, 1083, 236743, 236771, 236764, 623, 4000, 236779, 2086, 1083, 236743, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 14992, 236779, 547, 1083, 236743, 236778, 236771, 236810, 236764, 623, 14992, 236779, 1201, 1083, 623, 23243, 10503, 95580, 37463, 827, 623, 80043, 236779, 2244, 1013, 1083, 3714, 15080, 1083, 236743, 236800, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236778, 236764, 623, 76339, 1083, 236743, 236828, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 11116, 1083, 236743, 236778, 236812, 1263, 623, 43852, 236779, 25541, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 157638, 1083, 623, 54128, 56928, 144093, 616, 827, 623, 3709, 1083, 623, 17561, 236743, 236800, 236772, 236770, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 157638, 1083, 623, 202514, 12064, 168170, 827, 623, 3709, 1083, 623, 43279, 236743, 236778, 236772, 236800, 25938, 1604, 623, 170194, 236779, 41413, 1083, 11058, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236819, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 2263, 59919, 7974, 532, 910, 15830, 573, 822, 3399, 18006, 236787, 108, 1018, 13149, 46001, 7989, 568, 23243, 10503, 14133, 1473, 1018, 107, 236770, 236761, 5213, 23243, 10503, 32336, 1018, 568, 18373, 5853, 236787, 236743, 236770, 236771, 236770, 236768, 107, 139, 236772, 9654, 236787, 5054, 10503, 11493, 151767, 9654, 568, 35734, 236743, 236778, 236771, 236778, 236812, 236768, 107, 139, 236772, 8383, 1013, 236787, 236743, 236770, 540, 1977, 568, 236828, 18779, 236764, 236743, 236778, 14672, 236768, 107, 139, 236772, 34980, 145918, 236787, 236743, 107, 141, 236772, 13357, 7728, 236761, 8036, 14133, 153487, 568, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 141, 236772, 28374, 7728, 236761, 48400, 68824, 568, 30651, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 157542, 145918, 236787, 5505, 236743, 236778, 236771, 236772, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 568, 14210, 236787, 1239, 14069, 1149, 577, 59891, 236768, 108, 236778, 236761, 5213, 182108, 11849, 2177, 727, 616, 1018, 568, 18373, 5853, 236787, 236743, 236778, 236771, 236810, 236768, 107, 139, 236772, 9654, 236787, 15632, 7151, 151767, 8096, 107, 139, 236772, 8383, 1013, 236787, 236743, 236800, 7221, 1977, 568, 236828, 18779, 236764, 236743, 236812, 14672, 236768, 107, 139, 236772, 34980, 145918, 236787, 107, 141, 236772, 13357, 7728, 236761, 13600, 56928, 144093, 616, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 141, 236772, 28374, 7728, 236761, 165783, 168170, 568, 27393, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 157542, 145918, 236787, 5365, 236743, 236810, 236764, 236743, 236770, 236778, 236764, 532, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 108, 1018, 9272, 50228, 573, 51544, 22113, 53121, 107, 236770, 236761, 5213, 61728, 10765, 4361, 66515, 7179, 3104, 236743, 236778, 529, 2536, 684, 544, 236772, 24825, 506, 2165, 68925, 236929, 1292, 607, 2165, 10617, 236784, 236810, 236771, 236929, 531, 1586, 919, 2263, 7974, 236761, 107, 236778, 236761, 5213, 25846, 46001, 66515, 18186, 580, 1873, 90915, 236764, 611, 1451, 6727, 236787, 107, 139, 236772, 8231, 236772, 72101, 5054, 10503, 32336, 607, 3718, 236772, 72101, 7974, 568, 20073, 8385, 236768, 107, 139, 236772, 56125, 11849, 2177, 727, 616, 607, 5453, 236772, 43289, 7974, 107, 236800, 236761, 5213, 39656, 145918, 66515, 669, 29435, 2487, 14069, 699, 1873, 1262, 659, 5365, 236743, 236810, 236772, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 840, 611, 236789, 859, 1202, 531, 16807, 1239, 607, 506, 7974, 5467, 236761, 108, 38786, 611, 1133, 531, 3927, 573, 919, 7974, 653, 59638, 506, 10368, 3835, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 18544, 563, 5809, 531, 9795, 611, 3927, 573, 23642, 2721, 580, 30154, 532, 33901, 6035, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 8159, 23642, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 18544, 563, 5809, 531, 9795, 611, 3927, 573, 23642, 2721, 580, 30154, 532, 33901, 6035, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 8159, 23642, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 6827, 506, 31797, 104917, 659, 11337, 22293, 496, 558, 236778, 236771, 30315, 19520, 1913, 910, 1135, 236772, 19458, 236761, 3199, 611, 1171, 2426, 506, 6524, 558, 236778, 236771, 4241, 20756, 532, 18006, 12496, 531, 1460, 1144, 2712, 529, 4749, 659, 4913, 236881, 4298, 236764, 2721, 580, 506, 1346, 12615, 10217, 611, 1586, 236764, 3600, 236743, 236778, 236772, 236800, 30315, 236772, 68122, 5085, 600, 1451, 981, 1388, 657, 496, 18660, 29451, 236761, 9996, 2889, 531, 3204, 2523, 236772, 18865, 3835, 600, 8913, 607, 506, 104917, 236789, 3399, 15154, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 24948, 1083, 78493, 94156, 1083, 623, 14154, 236743, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 49782, 99021, 64917, 558, 236778, 236771, 4109, 11193, 72775, 236772, 17667, 528, 30821, 827, 623, 6011, 1083, 623, 236776, 861, 26241, 3423, 691, 1076, 618, 7807, 21064, 506, 649, 1181, 158458, 24933, 573, 4673, 236789, 236751, 1494, 236772, 101246, 12677, 236772, 10218, 46950, 2342, 8187, 236764, 41671, 12566, 1237, 2142, 528, 3892, 558, 236778, 236771, 4749, 10498, 623, 2883, 1083, 623, 2574, 1411, 8162, 11098, 12959, 236761, 8358, 236761, 854, 236786, 236745, 236778, 236771, 236772, 12392, 236772, 8144, 236772, 83824, 236772, 17789, 23179, 3714, 94156, 1083, 623, 40169, 236789, 236751, 558, 236778, 236771, 32115, 28253, 207488, 236743, 236810, 34093, 6115, 5841, 616, 827, 623, 6011, 1083, 623, 818, 1626, 529, 506, 11689, 236789, 236751, 558, 236778, 236771, 32115, 18006, 11105, 35995, 171685, 4945, 236764, 39516, 6730, 24711, 529, 3607, 236789, 236751, 30315, 3418, 86236, 10498, 623, 2883, 1083, 623, 2574, 1411, 8162, 11098, 12959, 236761, 8358, 236761, 854, 236786, 98788, 236772, 236745, 236778, 236771, 236772, 1543, 23569, 23179, 3714, 94156, 1083, 623, 131022, 50043, 236772, 203403, 60024, 28253, 114078, 528, 27912, 827, 623, 6011, 1083, 623, 236776, 861, 10037, 6518, 26614, 558, 236778, 236771, 30315, 607, 18660, 236772, 3061, 21649, 20874, 795, 16056, 657, 506, 27912, 5785, 24933, 2148, 2297, 10498, 623, 2883, 1083, 623, 2574, 1411, 8162, 11098, 12959, 236761, 8358, 236761, 854, 236786, 8162, 11098, 236772, 85832, 236772, 716, 59235, 25938, 1604, 623, 209668, 1083, 3714, 3374, 236779, 45787, 236779, 95451, 1083, 11058, 40169, 236789, 236751, 558, 236778, 236771, 63611, 827, 623, 105367, 236772, 24385, 19520, 12853, 827, 623, 66057, 558, 236778, 236771, 53451, 14255, 623, 28128, 236779, 83824, 236779, 70537, 1083, 623, 236800, 236832, 236908, 1051, 236772, 1749, 236772, 3704, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1156, 30315, 236772, 68122, 5085, 36443, 573, 496, 18660, 29451, 6514, 236764, 13696, 684, 506, 6524, 558, 236778, 236771, 15067, 236787, 108, 236770, 236761, 5213, 236774, 236778, 236771, 236772, 203403, 47374, 32115, 1018, 138, 107, 139, 236772, 808, 5753, 63508, 43291, 506, 18660, 4054, 1131, 496, 16217, 30315, 2135, 607, 7005, 236772, 3119, 558, 236778, 236771, 12853, 568, 236744, 236761, 236759, 1126, 236743, 236825, 236772, 1749, 35735, 769, 6890, 24282, 160152, 532, 68097, 30315, 20160, 531, 5330, 5646, 44081, 236761, 61268, 606, 18660, 236772, 3061, 623, 1506, 3667, 236775, 618, 21649, 20874, 568, 236744, 236761, 236759, 1126, 24285, 14989, 573, 16201, 8784, 769, 138, 107, 139, 236772, 808, 11355, 1030, 20016, 63508, 88970, 684, 27912, 236858, 236751, 30315, 236772, 85832, 19520, 236764, 672, 59156, 1800, 8568, 236858, 28242, 236761, 12831, 236772, 18865, 236764, 2708, 236772, 62580, 37954, 37143, 15430, 3418, 16606, 236761, 138, 108, 236778, 236761, 5213, 40169, 236858, 236751, 558, 236778, 236771, 39432, 833, 11493, 164206, 1018, 138, 107, 139, 236772, 808, 5753, 63508, 23949, 2196, 47822, 5378, 684, 2263, 8256, 30315, 5484, 236764, 10299, 35439, 1133, 62527, 236764, 47897, 236764, 532, 141070, 236761, 12213, 496, 623, 62024, 558, 236778, 236771, 54387, 236775, 1298, 7965, 20811, 528, 51422, 8991, 568, 236744, 236761, 236759, 1126, 26424, 4682, 236764, 10634, 47897, 769, 138, 107, 139, 236772, 808, 11355, 1030, 20016, 63508, 62561, 1283, 506, 128603, 24711, 529, 3607, 236858, 236751, 558, 236778, 236771, 63611, 236761, 10635, 5836, 185782, 532, 100146, 607, 506, 104917, 236858, 3399, 7675, 684, 21964, 1208, 65682, 4402, 236761, 138, 108, 236800, 236761, 5213, 66057, 558, 236778, 236771, 86085, 568, 59153, 27236, 82215, 62902, 138, 107, 139, 236772, 808, 5753, 63508, 32526, 506, 29451, 236858, 236751, 12660, 2606, 1131, 496, 28239, 558, 236778, 236771, 14680, 607, 2198, 236772, 1048, 30315, 52383, 236764, 3892, 4241, 115684, 580, 673, 3464, 557, 17878, 236764, 532, 2780, 27830, 12284, 30315, 236772, 68122, 35009, 568, 236744, 236761, 236759, 1126, 623, 86172, 77059, 4248, 4140, 496, 623, 236773, 6030, 78160, 179989, 32115, 236775, 1298, 7807, 13392, 657, 14270, 236772, 185834, 774, 160152, 236761, 138, 107, 139, 236772, 808, 11355, 1030, 20016, 63508, 204611, 506, 2630, 529, 11321, 558, 236778, 236771, 53451, 236761, 21807, 1472, 3892, 2970, 236764, 2780, 236764, 532, 4252, 573, 496, 2523, 236772, 18865, 11661, 236764, 9204, 3399, 85477, 236761, 138, 108, 1018, 61192, 98964, 66515, 669, 236743, 236800, 236832, 236908, 26241, 3877, 528, 558, 236778, 236771, 4749, 12205, 5056, 573, 21931, 236764, 15283, 27857, 236761, 3143, 5085, 1451, 577, 26406, 618, 7384, 4749, 236764, 64004, 506, 104917, 236858, 5500, 531, 7440, 861, 7807, 531, 30315, 1651, 105561, 2263, 15154, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 6827, 506, 31797, 104917, 659, 11337, 22293, 496, 558, 236778, 236771, 30315, 19520, 1913, 910, 1135, 236772, 19458, 236761, 3199, 611, 1171, 2426, 506, 6524, 558, 236778, 236771, 4241, 20756, 532, 18006, 12496, 531, 1460, 1144, 2712, 529, 4749, 659, 4913, 236881, 4298, 236764, 2721, 580, 506, 1346, 12615, 10217, 611, 1586, 236764, 3600, 236743, 236778, 236772, 236800, 30315, 236772, 68122, 5085, 600, 1451, 981, 1388, 657, 496, 18660, 29451, 236761, 9996, 2889, 531, 3204, 2523, 236772, 18865, 3835, 600, 8913, 607, 506, 104917, 236789, 3399, 15154, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 24948, 1083, 78493, 94156, 1083, 623, 14154, 236743, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 49782, 99021, 64917, 558, 236778, 236771, 4109, 11193, 72775, 236772, 17667, 528, 30821, 827, 623, 6011, 1083, 623, 236776, 861, 26241, 3423, 691, 1076, 618, 7807, 21064, 506, 649, 1181, 158458, 24933, 573, 4673, 236789, 236751, 1494, 236772, 101246, 12677, 236772, 10218, 46950, 2342, 8187, 236764, 41671, 12566, 1237, 2142, 528, 3892, 558, 236778, 236771, 4749, 10498, 623, 2883, 1083, 623, 2574, 1411, 8162, 11098, 12959, 236761, 8358, 236761, 854, 236786, 236745, 236778, 236771, 236772, 12392, 236772, 8144, 236772, 83824, 236772, 17789, 23179, 3714, 94156, 1083, 623, 40169, 236789, 236751, 558, 236778, 236771, 32115, 28253, 207488, 236743, 236810, 34093, 6115, 5841, 616, 827, 623, 6011, 1083, 623, 818, 1626, 529, 506, 11689, 236789, 236751, 558, 236778, 236771, 32115, 18006, 11105, 35995, 171685, 4945, 236764, 39516, 6730, 24711, 529, 3607, 236789, 236751, 30315, 3418, 86236, 10498, 623, 2883, 1083, 623, 2574, 1411, 8162, 11098, 12959, 236761, 8358, 236761, 854, 236786, 98788, 236772, 236745, 236778, 236771, 236772, 1543, 23569, 23179, 3714, 94156, 1083, 623, 131022, 50043, 236772, 203403, 60024, 28253, 114078, 528, 27912, 827, 623, 6011, 1083, 623, 236776, 861, 10037, 6518, 26614, 558, 236778, 236771, 30315, 607, 18660, 236772, 3061, 21649, 20874, 795, 16056, 657, 506, 27912, 5785, 24933, 2148, 2297, 10498, 623, 2883, 1083, 623, 2574, 1411, 8162, 11098, 12959, 236761, 8358, 236761, 854, 236786, 8162, 11098, 236772, 85832, 236772, 716, 59235, 25938, 1604, 623, 209668, 1083, 3714, 3374, 236779, 45787, 236779, 95451, 1083, 11058, 40169, 236789, 236751, 558, 236778, 236771, 63611, 827, 623, 105367, 236772, 24385, 19520, 12853, 827, 623, 66057, 558, 236778, 236771, 53451, 14255, 623, 28128, 236779, 83824, 236779, 70537, 1083, 623, 236800, 236832, 236908, 1051, 236772, 1749, 236772, 3704, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1156, 30315, 236772, 68122, 5085, 36443, 573, 496, 18660, 29451, 6514, 236764, 13696, 684, 506, 6524, 558, 236778, 236771, 15067, 236787, 108, 236770, 236761, 5213, 236774, 236778, 236771, 236772, 203403, 47374, 32115, 1018, 138, 107, 139, 236772, 808, 5753, 63508, 43291, 506, 18660, 4054, 1131, 496, 16217, 30315, 2135, 607, 7005, 236772, 3119, 558, 236778, 236771, 12853, 568, 236744, 236761, 236759, 1126, 236743, 236825, 236772, 1749, 35735, 769, 6890, 24282, 160152, 532, 68097, 30315, 20160, 531, 5330, 5646, 44081, 236761, 61268, 606, 18660, 236772, 3061, 623, 1506, 3667, 236775, 618, 21649, 20874, 568, 236744, 236761, 236759, 1126, 24285, 14989, 573, 16201, 8784, 769, 138, 107, 139, 236772, 808, 11355, 1030, 20016, 63508, 88970, 684, 27912, 236858, 236751, 30315, 236772, 85832, 19520, 236764, 672, 59156, 1800, 8568, 236858, 28242, 236761, 12831, 236772, 18865, 236764, 2708, 236772, 62580, 37954, 37143, 15430, 3418, 16606, 236761, 138, 108, 236778, 236761, 5213, 40169, 236858, 236751, 558, 236778, 236771, 39432, 833, 11493, 164206, 1018, 138, 107, 139, 236772, 808, 5753, 63508, 23949, 2196, 47822, 5378, 684, 2263, 8256, 30315, 5484, 236764, 10299, 35439, 1133, 62527, 236764, 47897, 236764, 532, 141070, 236761, 12213, 496, 623, 62024, 558, 236778, 236771, 54387, 236775, 1298, 7965, 20811, 528, 51422, 8991, 568, 236744, 236761, 236759, 1126, 26424, 4682, 236764, 10634, 47897, 769, 138, 107, 139, 236772, 808, 11355, 1030, 20016, 63508, 62561, 1283, 506, 128603, 24711, 529, 3607, 236858, 236751, 558, 236778, 236771, 63611, 236761, 10635, 5836, 185782, 532, 100146, 607, 506, 104917, 236858, 3399, 7675, 684, 21964, 1208, 65682, 4402, 236761, 138, 108, 236800, 236761, 5213, 66057, 558, 236778, 236771, 86085, 568, 59153, 27236, 82215, 62902, 138, 107, 139, 236772, 808, 5753, 63508, 32526, 506, 29451, 236858, 236751, 12660, 2606, 1131, 496, 28239, 558, 236778, 236771, 14680, 607, 2198, 236772, 1048, 30315, 52383, 236764, 3892, 4241, 115684, 580, 673, 3464, 557, 17878, 236764, 532, 2780, 27830, 12284, 30315, 236772, 68122, 35009, 568, 236744, 236761, 236759, 1126, 623, 86172, 77059, 4248, 4140, 496, 623, 236773, 6030, 78160, 179989, 32115, 236775, 1298, 7807, 13392, 657, 14270, 236772, 185834, 774, 160152, 236761, 138, 107, 139, 236772, 808, 11355, 1030, 20016, 63508, 204611, 506, 2630, 529, 11321, 558, 236778, 236771, 53451, 236761, 21807, 1472, 3892, 2970, 236764, 2780, 236764, 532, 4252, 573, 496, 2523, 236772, 18865, 11661, 236764, 9204, 3399, 85477, 236761, 138, 108, 1018, 61192, 98964, 66515, 669, 236743, 236800, 236832, 236908, 26241, 3877, 528, 558, 236778, 236771, 4749, 12205, 5056, 573, 21931, 236764, 15283, 27857, 236761, 3143, 5085, 1451, 577, 26406, 618, 7384, 4749, 236764, 64004, 506, 104917, 236858, 5500, 531, 7440, 861, 7807, 531, 30315, 1651, 105561, 2263, 15154, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 2426, 506, 4981, 529, 614, 1900, 573, 496, 5602, 1015, 236789, 236751, 10099, 1003, 910, 39391, 236761, 9963, 4553, 563, 673, 236761, 37540, 236940, 8358, 236761, 854, 532, 1900, 5853, 563, 236743, 236770, 236778, 236800, 236812, 236810, 236761, 3026, 564, 6956, 3182, 672, 872, 6517, 236764, 506, 1458, 1176, 506, 1900, 5853, 7289, 236789, 236745, 4341, 236761, 15704, 901, 9726, 872, 506, 4945, 236881, 3199, 611, 3972, 236772, 4256, 607, 506, 4338, 4889, 236881, 1637, 506, 1900, 563, 24701, 653, 993, 236789, 236751, 614, 4186, 607, 7548, 26093, 236764, 564, 1202, 531, 1281, 834, 564, 740, 1500, 872, 607, 506, 33972, 2434, 653, 5370, 855, 531, 506, 5602, 5467, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 10069, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 4818, 1083, 623, 23046, 827, 623, 24471, 236779, 87877, 1083, 2416, 236764, 623, 84339, 236779, 4818, 1083, 623, 498, 236779, 2840, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 40400, 1083, 11058, 27932, 28250, 8428, 827, 623, 58582, 3421, 7087, 18256, 99471, 106, 107, 105, 4368, 107, 818, 1900, 4981, 573, 5213, 10069, 236772, 236770, 236778, 236800, 236812, 236810, 1018, 5143, 607, 5213, 236804, 236761, 37540, 236940, 8358, 236761, 854, 1018, 563, 618, 5238, 236787, 108, 236772, 5213, 8782, 18365, 66515, 39244, 138, 107, 236772, 5213, 27932, 66515, 3790, 10778, 568, 40049, 28250, 236768, 138, 107, 236772, 5213, 58582, 66515, 2154, 2768, 568, 68717, 3421, 18256, 236768, 138, 107, 236772, 5213, 122598, 33431, 66515, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 85819, 66515, 138, 107, 138, 236770, 236761, 35032, 28250, 8428, 138, 107, 138, 236778, 236761, 36585, 3421, 3548, 18256, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236770, 236761, 76217, 855, 531, 506, 5602, 531, 9128, 7548, 4889, 532, 14245, 28250, 4342, 236761, 138, 107, 236778, 236761, 78707, 506, 12631, 3421, 607, 506, 5602, 531, 5588, 506, 39391, 236761, 138, 107, 236800, 236761, 22177, 872, 607, 506, 33972, 2434, 3622, 1239, 4342, 659, 21891, 236761, 138, 108, 818, 1900, 5853, 6518, 623, 10069, 236772, 236770, 236778, 236800, 236812, 236810, 236775, 7412, 4341, 1492, 236764, 834, 506, 6517, 3165, 2473, 735, 1010, 2779, 531, 496, 116896, 653, 9724, 24905, 236761, 3792, 786, 1281, 768, 3342, 10686, 563, 4354, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 2426, 506, 4981, 529, 614, 1900, 573, 496, 5602, 1015, 236789, 236751, 10099, 1003, 910, 39391, 236761, 9963, 4553, 563, 673, 236761, 37540, 236940, 8358, 236761, 854, 532, 1900, 5853, 563, 236743, 236770, 236778, 236800, 236812, 236810, 236761, 3026, 564, 6956, 3182, 672, 872, 6517, 236764, 506, 1458, 1176, 506, 1900, 5853, 7289, 236789, 236745, 4341, 236761, 15704, 901, 9726, 872, 506, 4945, 236881, 3199, 611, 3972, 236772, 4256, 607, 506, 4338, 4889, 236881, 1637, 506, 1900, 563, 24701, 653, 993, 236789, 236751, 614, 4186, 607, 7548, 26093, 236764, 564, 1202, 531, 1281, 834, 564, 740, 1500, 872, 607, 506, 33972, 2434, 653, 5370, 855, 531, 506, 5602, 5467, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 10069, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 4818, 1083, 623, 23046, 827, 623, 24471, 236779, 87877, 1083, 2416, 236764, 623, 84339, 236779, 4818, 1083, 623, 498, 236779, 2840, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 40400, 1083, 11058, 27932, 28250, 8428, 827, 623, 58582, 3421, 7087, 18256, 99471, 106, 107, 105, 4368, 107, 818, 1900, 4981, 573, 5213, 10069, 236772, 236770, 236778, 236800, 236812, 236810, 1018, 5143, 607, 5213, 236804, 236761, 37540, 236940, 8358, 236761, 854, 1018, 563, 618, 5238, 236787, 108, 236772, 5213, 8782, 18365, 66515, 39244, 138, 107, 236772, 5213, 27932, 66515, 3790, 10778, 568, 40049, 28250, 236768, 138, 107, 236772, 5213, 58582, 66515, 2154, 2768, 568, 68717, 3421, 18256, 236768, 138, 107, 236772, 5213, 122598, 33431, 66515, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 85819, 66515, 138, 107, 138, 236770, 236761, 35032, 28250, 8428, 138, 107, 138, 236778, 236761, 36585, 3421, 3548, 18256, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236770, 236761, 76217, 855, 531, 506, 5602, 531, 9128, 7548, 4889, 532, 14245, 28250, 4342, 236761, 138, 107, 236778, 236761, 78707, 506, 12631, 3421, 607, 506, 5602, 531, 5588, 506, 39391, 236761, 138, 107, 236800, 236761, 22177, 872, 607, 506, 33972, 2434, 3622, 1239, 4342, 659, 21891, 236761, 138, 108, 818, 1900, 5853, 6518, 623, 10069, 236772, 236770, 236778, 236800, 236812, 236810, 236775, 7412, 4341, 1492, 236764, 834, 506, 6517, 3165, 2473, 735, 1010, 2779, 531, 496, 116896, 653, 9724, 24905, 236761, 3792, 786, 1281, 768, 3342, 10686, 563, 4354, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 49659, 1041, 64515, 33563, 531, 496, 2263, 21609, 1458, 573, 1041, 12214, 53088, 1960, 236764, 840, 564, 236789, 236757, 10099, 1003, 16977, 11709, 9108, 532, 17096, 37031, 607, 1023, 6330, 2354, 3997, 5368, 236761, 5715, 236789, 236751, 1144, 564, 1202, 3028, 236787, 236743, 236770, 236761, 5315, 236764, 11264, 1041, 623, 9004, 37747, 236775, 11709, 568, 16603, 784, 1159, 87787, 1133, 623, 5950, 85591, 236775, 532, 623, 18463, 509, 17256, 27172, 1373, 531, 91591, 6518, 1651, 39983, 28436, 236761, 236743, 236778, 236761, 4298, 7352, 506, 9113, 91591, 2129, 531, 587, 50421, 6518, 573, 37031, 607, 1023, 21694, 236772, 5140, 23367, 236761, 236743, 236800, 236761, 13472, 236764, 16807, 600, 784, 783, 581, 236752, 5734, 528, 506, 587, 50421, 9714, 11015, 910, 3303, 3433, 44830, 532, 61626, 236761, 6890, 506, 2961, 737, 733, 236779, 18112, 236779, 56013, 236779, 67833, 5904, 573, 1546, 2918, 236764, 17096, 506, 3938, 529, 886, 5552, 6775, 506, 2744, 573, 506, 2148, 236761, 22282, 77372, 16977, 63960, 11709, 9994, 5459, 506, 1657, 236761, 564, 236789, 859, 2847, 14209, 28150, 1056, 4354, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5245, 236779, 4818, 1083, 623, 10934, 827, 623, 5245, 236779, 2337, 1083, 9560, 56013, 236786, 18112, 236779, 169833, 827, 623, 4606, 236779, 2164, 1083, 623, 9004, 236779, 38098, 236779, 56013, 236761, 169833, 827, 623, 17857, 236779, 29641, 236779, 187416, 1083, 1847, 236764, 623, 21052, 236779, 168196, 1083, 623, 87622, 827, 623, 69930, 236779, 2788, 1083, 1847, 236764, 623, 4874, 236779, 9340, 236779, 1114, 1083, 623, 169833, 236779, 1071, 236779, 41619, 236779, 69930, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 5245, 236779, 13308, 1083, 3714, 6774, 236779, 11622, 1083, 623, 2364, 236940, 8358, 236761, 854, 827, 623, 205676, 236779, 87787, 1083, 11058, 9004, 37747, 14255, 623, 2204, 87787, 236779, 109982, 1083, 1847, 236764, 623, 4606, 236779, 5939, 1083, 623, 41619, 827, 623, 5245, 236779, 2337, 1083, 9560, 56013, 236786, 18112, 236779, 41619, 236786, 2025, 236779, 26984, 236761, 41619, 827, 623, 2164, 236779, 2086, 1083, 623, 236770, 236761, 236778, 8242, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 21052, 236779, 187416, 1083, 1847, 236764, 623, 95300, 236779, 87622, 1083, 1847, 1807, 106, 107, 105, 4368, 107, 818, 16064, 1657, 815, 1010, 7723, 10428, 236787, 108, 236770, 236761, 5213, 236791, 1393, 43165, 66515, 669, 623, 9004, 37747, 236775, 11709, 568, 16603, 1159, 87787, 236768, 691, 47246, 531, 91591, 6518, 657, 86072, 56013, 236786, 18112, 236779, 169833, 236786, 9004, 236779, 38098, 236779, 56013, 236761, 169833, 236929, 607, 28436, 532, 11709, 36225, 27750, 236761, 108, 236778, 236761, 5213, 236792, 50421, 67292, 66515, 669, 91591, 2129, 691, 16952, 531, 587, 50421, 6518, 657, 86072, 56013, 236786, 18112, 236779, 41619, 236786, 2025, 236779, 26984, 236761, 41619, 236929, 568, 236770, 236761, 236778, 8242, 779, 16977, 236787, 107, 139, 236772, 18909, 4553, 3433, 44830, 107, 139, 236772, 85595, 1230, 17661, 107, 139, 236772, 31101, 126532, 11709, 9994, 107, 139, 236772, 99691, 33862, 108, 818, 3938, 563, 1492, 5508, 573, 12434, 607, 822, 21694, 236772, 5140, 2354, 3997, 1458, 236761, 21284, 611, 1133, 786, 531, 2847, 28250, 25716, 653, 6361, 607, 1027, 4767, 18256, 6555, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 49659, 1041, 64515, 33563, 531, 496, 2263, 21609, 1458, 573, 1041, 12214, 53088, 1960, 236764, 840, 564, 236789, 236757, 10099, 1003, 16977, 11709, 9108, 532, 17096, 37031, 607, 1023, 6330, 2354, 3997, 5368, 236761, 5715, 236789, 236751, 1144, 564, 1202, 3028, 236787, 236743, 236770, 236761, 5315, 236764, 11264, 1041, 623, 9004, 37747, 236775, 11709, 568, 16603, 784, 1159, 87787, 1133, 623, 5950, 85591, 236775, 532, 623, 18463, 509, 17256, 27172, 1373, 531, 91591, 6518, 1651, 39983, 28436, 236761, 236743, 236778, 236761, 4298, 7352, 506, 9113, 91591, 2129, 531, 587, 50421, 6518, 573, 37031, 607, 1023, 21694, 236772, 5140, 23367, 236761, 236743, 236800, 236761, 13472, 236764, 16807, 600, 784, 783, 581, 236752, 5734, 528, 506, 587, 50421, 9714, 11015, 910, 3303, 3433, 44830, 532, 61626, 236761, 6890, 506, 2961, 737, 733, 236779, 18112, 236779, 56013, 236779, 67833, 5904, 573, 1546, 2918, 236764, 17096, 506, 3938, 529, 886, 5552, 6775, 506, 2744, 573, 506, 2148, 236761, 22282, 77372, 16977, 63960, 11709, 9994, 5459, 506, 1657, 236761, 564, 236789, 859, 2847, 14209, 28150, 1056, 4354, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5245, 236779, 4818, 1083, 623, 10934, 827, 623, 5245, 236779, 2337, 1083, 9560, 56013, 236786, 18112, 236779, 169833, 827, 623, 4606, 236779, 2164, 1083, 623, 9004, 236779, 38098, 236779, 56013, 236761, 169833, 827, 623, 17857, 236779, 29641, 236779, 187416, 1083, 1847, 236764, 623, 21052, 236779, 168196, 1083, 623, 87622, 827, 623, 69930, 236779, 2788, 1083, 1847, 236764, 623, 4874, 236779, 9340, 236779, 1114, 1083, 623, 169833, 236779, 1071, 236779, 41619, 236779, 69930, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 5245, 236779, 13308, 1083, 3714, 6774, 236779, 11622, 1083, 623, 2364, 236940, 8358, 236761, 854, 827, 623, 205676, 236779, 87787, 1083, 11058, 9004, 37747, 14255, 623, 2204, 87787, 236779, 109982, 1083, 1847, 236764, 623, 4606, 236779, 5939, 1083, 623, 41619, 827, 623, 5245, 236779, 2337, 1083, 9560, 56013, 236786, 18112, 236779, 41619, 236786, 2025, 236779, 26984, 236761, 41619, 827, 623, 2164, 236779, 2086, 1083, 623, 236770, 236761, 236778, 8242, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 21052, 236779, 187416, 1083, 1847, 236764, 623, 95300, 236779, 87622, 1083, 1847, 1807, 106, 107, 105, 4368, 107, 818, 16064, 1657, 815, 1010, 7723, 10428, 236787, 108, 236770, 236761, 5213, 236791, 1393, 43165, 66515, 669, 623, 9004, 37747, 236775, 11709, 568, 16603, 1159, 87787, 236768, 691, 47246, 531, 91591, 6518, 657, 86072, 56013, 236786, 18112, 236779, 169833, 236786, 9004, 236779, 38098, 236779, 56013, 236761, 169833, 236929, 607, 28436, 532, 11709, 36225, 27750, 236761, 108, 236778, 236761, 5213, 236792, 50421, 67292, 66515, 669, 91591, 2129, 691, 16952, 531, 587, 50421, 6518, 657, 86072, 56013, 236786, 18112, 236779, 41619, 236786, 2025, 236779, 26984, 236761, 41619, 236929, 568, 236770, 236761, 236778, 8242, 779, 16977, 236787, 107, 139, 236772, 18909, 4553, 3433, 44830, 107, 139, 236772, 85595, 1230, 17661, 107, 139, 236772, 31101, 126532, 11709, 9994, 107, 139, 236772, 99691, 33862, 108, 818, 3938, 563, 1492, 5508, 573, 12434, 607, 822, 21694, 236772, 5140, 2354, 3997, 1458, 236761, 21284, 611, 1133, 786, 531, 2847, 28250, 25716, 653, 6361, 607, 1027, 4767, 18256, 6555, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 8835, 614, 3489, 32183, 18006, 600, 9857, 657, 236743, 236819, 8151, 2263, 990, 528, 66583, 236761, 2282, 11006, 236764, 564, 1202, 531, 236787, 236743, 236770, 236761, 7179, 506, 1873, 990, 528, 8679, 1050, 2903, 236764, 8253, 236764, 531, 9279, 506, 990, 4954, 236761, 236743, 236778, 236761, 1637, 66583, 236858, 236751, 990, 10202, 5889, 236858, 236745, 528, 506, 1458, 236764, 1161, 506, 100468, 1694, 531, 1586, 1061, 4338, 31744, 532, 9128, 506, 59528, 9815, 236761, 236743, 236800, 236761, 35593, 573, 58745, 16011, 3731, 768, 1027, 236761, 236743, 236812, 236761, 13472, 236764, 3442, 786, 1144, 990, 564, 1374, 1076, 1041, 16605, 1590, 531, 6154, 506, 18006, 580, 990, 236761, 3792, 236858, 236751, 1502, 607, 2918, 236743, 236770, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236772, 236771, 236832, 236787, 236771, 236771, 827, 623, 99883, 1083, 623, 47158, 236786, 18939, 236779, 12165, 7220, 827, 623, 101696, 236779, 10617, 1083, 9296, 236771, 236832, 236787, 236771, 236771, 827, 623, 1496, 3223, 236779, 49708, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 99883, 1083, 623, 53601, 236786, 89265, 827, 623, 101696, 236779, 10617, 1083, 10955, 236771, 236819, 236787, 236771, 236771, 827, 623, 1496, 3223, 236779, 49708, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 818, 3489, 32183, 18006, 9857, 657, 236743, 236819, 8151, 2263, 990, 528, 66583, 568, 53601, 236786, 89265, 236764, 59528, 236862, 236819, 769, 8679, 1050, 2903, 236764, 8253, 236764, 22747, 580, 5711, 236786, 18939, 236779, 12165, 7220, 990, 568, 13902, 236772, 236832, 607, 58745, 16011, 5158, 769, 669, 2558, 990, 4954, 563, 5213, 236770, 236825, 3885, 1018, 568, 53843, 2241, 563, 7531, 769, 138, 108, 150867, 236743, 236819, 8151, 66583, 990, 531, 8679, 1050, 2903, 990, 236787, 138, 107, 1018, 236819, 8151, 753, 236743, 236770, 236825, 3885, 578, 236743, 236810, 8711, 568, 32136, 1719, 62902, 528, 8679, 1050, 2903, 236761, 138, 108, 2542, 2591, 236764, 768, 506, 18006, 563, 580, 5213, 30651, 236743, 236810, 594, 528, 66583, 125546, 625, 795, 577, 5213, 30651, 236743, 236812, 594, 657, 236743, 236810, 236787, 236771, 236771, 8711, 116656, 1018, 528, 8679, 1050, 2903, 236761, 138, 108, 1018, 3974, 822, 16605, 573, 236743, 236810, 236787, 236771, 236771, 8711, 2263, 990, 528, 8679, 1050, 2903, 236764, 8253, 236764, 580, 506, 1719, 1680, 506, 18006, 3433, 99382, 138, 108, 3771, 30981, 573, 58745, 16011, 3731, 659, 4354, 2338, 66583, 1677, 711, 15739, 205053, 236764, 532, 506, 1873, 205053, 4981, 528, 8679, 1050, 2903, 563, 3016, 36020, 573, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 8835, 614, 3489, 32183, 18006, 600, 9857, 657, 236743, 236819, 8151, 2263, 990, 528, 66583, 236761, 2282, 11006, 236764, 564, 1202, 531, 236787, 236743, 236770, 236761, 7179, 506, 1873, 990, 528, 8679, 1050, 2903, 236764, 8253, 236764, 531, 9279, 506, 990, 4954, 236761, 236743, 236778, 236761, 1637, 66583, 236858, 236751, 990, 10202, 5889, 236858, 236745, 528, 506, 1458, 236764, 1161, 506, 100468, 1694, 531, 1586, 1061, 4338, 31744, 532, 9128, 506, 59528, 9815, 236761, 236743, 236800, 236761, 35593, 573, 58745, 16011, 3731, 768, 1027, 236761, 236743, 236812, 236761, 13472, 236764, 3442, 786, 1144, 990, 564, 1374, 1076, 1041, 16605, 1590, 531, 6154, 506, 18006, 580, 990, 236761, 3792, 236858, 236751, 1502, 607, 2918, 236743, 236770, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236772, 236771, 236832, 236787, 236771, 236771, 827, 623, 99883, 1083, 623, 47158, 236786, 18939, 236779, 12165, 7220, 827, 623, 101696, 236779, 10617, 1083, 9296, 236771, 236832, 236787, 236771, 236771, 827, 623, 1496, 3223, 236779, 49708, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 99883, 1083, 623, 53601, 236786, 89265, 827, 623, 101696, 236779, 10617, 1083, 10955, 236771, 236819, 236787, 236771, 236771, 827, 623, 1496, 3223, 236779, 49708, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 818, 3489, 32183, 18006, 9857, 657, 236743, 236819, 8151, 2263, 990, 528, 66583, 568, 53601, 236786, 89265, 236764, 59528, 236862, 236819, 769, 8679, 1050, 2903, 236764, 8253, 236764, 22747, 580, 5711, 236786, 18939, 236779, 12165, 7220, 990, 568, 13902, 236772, 236832, 607, 58745, 16011, 5158, 769, 669, 2558, 990, 4954, 563, 5213, 236770, 236825, 3885, 1018, 568, 53843, 2241, 563, 7531, 769, 138, 108, 150867, 236743, 236819, 8151, 66583, 990, 531, 8679, 1050, 2903, 990, 236787, 138, 107, 1018, 236819, 8151, 753, 236743, 236770, 236825, 3885, 578, 236743, 236810, 8711, 568, 32136, 1719, 62902, 528, 8679, 1050, 2903, 236761, 138, 108, 2542, 2591, 236764, 768, 506, 18006, 563, 580, 5213, 30651, 236743, 236810, 594, 528, 66583, 125546, 625, 795, 577, 5213, 30651, 236743, 236812, 594, 657, 236743, 236810, 236787, 236771, 236771, 8711, 116656, 1018, 528, 8679, 1050, 2903, 236761, 138, 108, 1018, 3974, 822, 16605, 573, 236743, 236810, 236787, 236771, 236771, 8711, 2263, 990, 528, 8679, 1050, 2903, 236764, 8253, 236764, 580, 506, 1719, 1680, 506, 18006, 3433, 99382, 138, 108, 3771, 30981, 573, 58745, 16011, 3731, 659, 4354, 2338, 66583, 1677, 711, 15739, 205053, 236764, 532, 506, 1873, 205053, 4981, 528, 8679, 1050, 2903, 563, 3016, 36020, 573, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102752, 506, 3658, 7132, 528, 506, 1816, 756, 818, 3823, 8864, 37423, 38167, 1024, 506, 31770, 4799, 7085, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 496, 5904, 2487, 531, 5467, 18840, 3658, 7132, 528, 1816, 236761, 3551, 1873, 15858, 659, 5809, 531, 236787, 107, 236770, 236761, 167076, 3911, 699, 6681, 20967, 107, 236778, 236761, 127301, 147734, 528, 1816, 107, 236800, 236761, 81573, 768, 1156, 4171, 659, 128592, 236751, 108, 38786, 611, 1133, 786, 531, 1161, 1027, 529, 1239, 2487, 6436, 573, 496, 1607, 3671, 529, 506, 1816, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102752, 506, 3658, 7132, 528, 506, 1816, 756, 818, 3823, 8864, 37423, 38167, 1024, 506, 31770, 4799, 7085, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 496, 5904, 2487, 531, 5467, 18840, 3658, 7132, 528, 1816, 236761, 3551, 1873, 15858, 659, 5809, 531, 236787, 107, 236770, 236761, 167076, 3911, 699, 6681, 20967, 107, 236778, 236761, 127301, 147734, 528, 1816, 107, 236800, 236761, 81573, 768, 1156, 4171, 659, 128592, 236751, 108, 38786, 611, 1133, 786, 531, 1161, 1027, 529, 1239, 2487, 6436, 573, 496, 1607, 3671, 529, 506, 1816, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 19406, 24121, 1458, 653, 1027, 6436, 600, 1093, 2174, 786, 531, 1977, 2780, 10400, 236761, 3551, 1873, 15858, 659, 5809, 531, 6655, 6387, 15136, 2721, 580, 18355, 532, 14470, 22195, 236761, 21284, 611, 1133, 786, 531, 3600, 1070, 13154, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 19406, 24121, 1458, 653, 1027, 6436, 600, 1093, 2174, 786, 531, 1977, 2780, 10400, 236761, 3551, 1873, 15858, 659, 5809, 531, 6655, 6387, 15136, 2721, 580, 18355, 532, 14470, 22195, 236761, 21284, 611, 1133, 786, 531, 3600, 1070, 13154, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1500, 872, 580, 100662, 10789, 573, 1023, 28048, 9747, 7391, 236761, 9187, 684, 20104, 784, 7391, 607, 623, 166847, 236775, 528, 910, 1463, 1699, 1694, 236779, 44679, 236761, 1701, 1546, 16590, 4430, 236764, 33205, 910, 2881, 12323, 531, 2426, 7548, 4981, 236761, 1637, 1027, 735, 100662, 41131, 236764, 974, 910, 3662, 4889, 532, 11006, 531, 5039, 82925, 1699, 1023, 4553, 7846, 236761, 22282, 77372, 7391, 607, 41131, 1024, 609, 236810, 236771, 236771, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2394, 1083, 78493, 5586, 236779, 547, 1083, 623, 133360, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 17698, 55677, 19430, 827, 623, 4818, 1083, 623, 14009, 827, 623, 11622, 236779, 6011, 1083, 3714, 17873, 1083, 236743, 236832, 236778, 236771, 236771, 236761, 236810, 236764, 623, 5455, 236779, 24471, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236810, 236775, 5237, 3714, 5586, 236779, 547, 1083, 623, 236792, 5911, 236812, 236810, 236825, 827, 623, 1201, 1083, 623, 89205, 55677, 23566, 827, 623, 4818, 1083, 623, 14009, 827, 623, 11622, 236779, 6011, 1083, 3714, 17873, 1083, 236743, 236800, 236812, 236771, 236771, 236761, 236771, 236764, 623, 5455, 236779, 24471, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236771, 127096, 1604, 12948, 159057, 236761, 2861, 1083, 236743, 236778, 236764, 623, 3991, 1083, 236743, 236770, 236771, 236764, 623, 21971, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5586, 236779, 547, 1083, 623, 133360, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 49548, 55677, 19430, 827, 623, 11622, 236779, 6011, 1083, 3714, 6725, 236779, 17873, 1083, 236743, 236832, 236778, 236771, 236771, 236761, 236810, 236764, 623, 1749, 26303, 236779, 17873, 1083, 236743, 236812, 236828, 236771, 236771, 236761, 236771, 236764, 623, 5455, 236779, 24471, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 23179, 623, 11607, 236779, 13308, 1083, 3714, 103547, 236779, 11607, 1083, 623, 65897, 98881, 827, 623, 6774, 1083, 623, 103547, 236940, 134497, 582, 75994, 509, 236761, 2187, 827, 623, 5275, 1083, 10955, 236770, 236772, 236800, 236770, 236778, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 23179, 623, 47384, 236779, 5909, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126773, 236779, 6458, 1083, 623, 2618, 236761, 166847, 103547, 236761, 854, 827, 623, 126773, 236779, 728, 1083, 236743, 236810, 236828, 236832, 236764, 623, 29881, 236779, 29706, 1083, 3714, 1749, 26303, 236779, 220606, 1083, 623, 31163, 642, 5586, 236779, 1201, 18920, 236749, 236785, 236749, 2094, 563, 496, 32272, 600, 822, 2881, 815, 614, 100662, 7002, 529, 642, 17873, 72103, 236749, 236785, 185262, 1386, 7548, 684, 642, 26303, 236779, 1896, 236783, 531, 5571, 2509, 38484, 6810, 236749, 236785, 236749, 162293, 5703, 236749, 216708, 117229, 10765, 23179, 623, 81907, 236779, 92062, 1083, 3714, 5738, 236779, 13807, 1083, 236743, 236819, 236764, 623, 99883, 1083, 623, 47158, 236786, 4199, 236779, 74093, 827, 623, 56653, 236779, 132101, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 1018, 4330, 26303, 11358, 22177, 236772, 4674, 573, 55677, 80304, 1018, 108, 1018, 13238, 59193, 19908, 568, 25846, 1890, 609, 236810, 236771, 236771, 236771, 1473, 1018, 107, 236770, 236761, 5213, 5950, 53121, 10561, 55677, 19430, 568, 133360, 236770, 236778, 236800, 236768, 107, 139, 236772, 5213, 25846, 53121, 609, 236832, 236764, 236778, 236771, 236771, 236761, 236810, 236771, 568, 4330, 26303, 236787, 609, 236812, 236764, 236828, 236771, 236771, 236761, 236771, 236771, 236768, 107, 139, 236772, 5213, 9008, 35032, 53121, 6027, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 107, 139, 236772, 5213, 11431, 53121, 18821, 98881, 568, 103547, 236940, 134497, 582, 75994, 509, 236761, 2187, 1109, 900, 236770, 236772, 236800, 236770, 236778, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236768, 107, 139, 236772, 5213, 11919, 33404, 44096, 53121, 7178, 26303, 32272, 7930, 28331, 607, 155786, 5941, 568, 2618, 236761, 166847, 103547, 236761, 854, 236787, 236810, 236828, 236832, 236768, 108, 1018, 9272, 50228, 53121, 107, 236772, 20373, 100662, 32272, 1699, 28331, 19144, 7930, 107, 236772, 27468, 1500, 236772, 1048, 2246, 573, 113968, 236770, 236778, 236800, 768, 7548, 711, 4461, 684, 2779, 3433, 107, 236772, 26295, 154171, 236812, 236810, 236825, 6131, 236800, 236764, 236812, 236771, 236771, 7002, 236768, 618, 10929, 13546, 108, 1018, 6717, 53121, 44096, 531, 5039, 4553, 32272, 573, 113968, 236770, 236778, 236800, 236761, 21284, 611, 1133, 786, 531, 7162, 607, 15656, 506, 19144, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1500, 872, 580, 100662, 10789, 573, 1023, 28048, 9747, 7391, 236761, 9187, 684, 20104, 784, 7391, 607, 623, 166847, 236775, 528, 910, 1463, 1699, 1694, 236779, 44679, 236761, 1701, 1546, 16590, 4430, 236764, 33205, 910, 2881, 12323, 531, 2426, 7548, 4981, 236761, 1637, 1027, 735, 100662, 41131, 236764, 974, 910, 3662, 4889, 532, 11006, 531, 5039, 82925, 1699, 1023, 4553, 7846, 236761, 22282, 77372, 7391, 607, 41131, 1024, 609, 236810, 236771, 236771, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2394, 1083, 78493, 5586, 236779, 547, 1083, 623, 133360, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 17698, 55677, 19430, 827, 623, 4818, 1083, 623, 14009, 827, 623, 11622, 236779, 6011, 1083, 3714, 17873, 1083, 236743, 236832, 236778, 236771, 236771, 236761, 236810, 236764, 623, 5455, 236779, 24471, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236810, 236775, 5237, 3714, 5586, 236779, 547, 1083, 623, 236792, 5911, 236812, 236810, 236825, 827, 623, 1201, 1083, 623, 89205, 55677, 23566, 827, 623, 4818, 1083, 623, 14009, 827, 623, 11622, 236779, 6011, 1083, 3714, 17873, 1083, 236743, 236800, 236812, 236771, 236771, 236761, 236771, 236764, 623, 5455, 236779, 24471, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236771, 127096, 1604, 12948, 159057, 236761, 2861, 1083, 236743, 236778, 236764, 623, 3991, 1083, 236743, 236770, 236771, 236764, 623, 21971, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5586, 236779, 547, 1083, 623, 133360, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 49548, 55677, 19430, 827, 623, 11622, 236779, 6011, 1083, 3714, 6725, 236779, 17873, 1083, 236743, 236832, 236778, 236771, 236771, 236761, 236810, 236764, 623, 1749, 26303, 236779, 17873, 1083, 236743, 236812, 236828, 236771, 236771, 236761, 236771, 236764, 623, 5455, 236779, 24471, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 23179, 623, 11607, 236779, 13308, 1083, 3714, 103547, 236779, 11607, 1083, 623, 65897, 98881, 827, 623, 6774, 1083, 623, 103547, 236940, 134497, 582, 75994, 509, 236761, 2187, 827, 623, 5275, 1083, 10955, 236770, 236772, 236800, 236770, 236778, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 23179, 623, 47384, 236779, 5909, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126773, 236779, 6458, 1083, 623, 2618, 236761, 166847, 103547, 236761, 854, 827, 623, 126773, 236779, 728, 1083, 236743, 236810, 236828, 236832, 236764, 623, 29881, 236779, 29706, 1083, 3714, 1749, 26303, 236779, 220606, 1083, 623, 31163, 642, 5586, 236779, 1201, 18920, 236749, 236785, 236749, 2094, 563, 496, 32272, 600, 822, 2881, 815, 614, 100662, 7002, 529, 642, 17873, 72103, 236749, 236785, 185262, 1386, 7548, 684, 642, 26303, 236779, 1896, 236783, 531, 5571, 2509, 38484, 6810, 236749, 236785, 236749, 162293, 5703, 236749, 216708, 117229, 10765, 23179, 623, 81907, 236779, 92062, 1083, 3714, 5738, 236779, 13807, 1083, 236743, 236819, 236764, 623, 99883, 1083, 623, 47158, 236786, 4199, 236779, 74093, 827, 623, 56653, 236779, 132101, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 1018, 4330, 26303, 11358, 22177, 236772, 4674, 573, 55677, 80304, 1018, 108, 1018, 13238, 59193, 19908, 568, 25846, 1890, 609, 236810, 236771, 236771, 236771, 1473, 1018, 107, 236770, 236761, 5213, 5950, 53121, 10561, 55677, 19430, 568, 133360, 236770, 236778, 236800, 236768, 107, 139, 236772, 5213, 25846, 53121, 609, 236832, 236764, 236778, 236771, 236771, 236761, 236810, 236771, 568, 4330, 26303, 236787, 609, 236812, 236764, 236828, 236771, 236771, 236761, 236771, 236771, 236768, 107, 139, 236772, 5213, 9008, 35032, 53121, 6027, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 107, 139, 236772, 5213, 11431, 53121, 18821, 98881, 568, 103547, 236940, 134497, 582, 75994, 509, 236761, 2187, 1109, 900, 236770, 236772, 236800, 236770, 236778, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236768, 107, 139, 236772, 5213, 11919, 33404, 44096, 53121, 7178, 26303, 32272, 7930, 28331, 607, 155786, 5941, 568, 2618, 236761, 166847, 103547, 236761, 854, 236787, 236810, 236828, 236832, 236768, 108, 1018, 9272, 50228, 53121, 107, 236772, 20373, 100662, 32272, 1699, 28331, 19144, 7930, 107, 236772, 27468, 1500, 236772, 1048, 2246, 573, 113968, 236770, 236778, 236800, 768, 7548, 711, 4461, 684, 2779, 3433, 107, 236772, 26295, 154171, 236812, 236810, 236825, 6131, 236800, 236764, 236812, 236771, 236771, 7002, 236768, 618, 10929, 13546, 108, 1018, 6717, 53121, 44096, 531, 5039, 4553, 32272, 573, 113968, 236770, 236778, 236800, 236761, 21284, 611, 1133, 786, 531, 7162, 607, 15656, 506, 19144, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 9226, 8770, 2460, 657, 981, 607, 1070, 12139, 6627, 236761, 564, 735, 496, 1694, 529, 19246, 573, 3435, 85505, 528, 21038, 236764, 69623, 236764, 532, 66583, 236764, 840, 564, 1202, 531, 136535, 1091, 9668, 236761, 5315, 236764, 1769, 1239, 1806, 19246, 532, 11299, 1546, 886, 1131, 1061, 6237, 1699, 506, 3421, 236779, 15635, 5904, 236787, 236743, 236770, 236761, 223954, 238947, 237835, 239559, 241375, 236770, 236772, 236778, 236772, 236800, 236743, 236778, 236761, 185814, 238732, 62032, 237594, 40953, 237835, 239280, 238663, 236812, 236772, 236810, 236772, 236825, 236743, 236800, 236761, 185365, 238732, 238385, 55596, 238382, 210132, 144812, 236832, 236772, 236828, 236772, 236819, 4210, 58089, 236764, 564, 1202, 611, 531, 49573, 837, 140855, 1264, 532, 9979, 1239, 19246, 8386, 531, 236764, 834, 564, 740, 16422, 33972, 1133, 19573, 52246, 532, 14227, 236761, 3792, 786, 1281, 768, 1027, 3421, 4688, 1202, 2803, 5700, 573, 1960, 7283, 8616, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1734, 100126, 1083, 6443, 236756, 236825, 236832, 236832, 236770, 236785, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 827, 623, 13319, 236779, 1476, 1083, 6443, 236756, 236825, 236744, 236778, 236760, 236785, 236756, 236810, 236800, 236800, 236746, 827, 623, 21125, 236779, 3906, 1083, 6443, 236756, 236828, 236753, 236825, 236812, 236785, 236756, 236810, 236832, 236812, 236778, 236770, 236772, 236778, 236772, 236800, 827, 623, 18146, 236779, 23184, 1083, 3714, 1734, 100126, 236779, 107473, 1083, 6443, 236756, 236800, 236771, 236755, 236828, 236785, 236756, 236800, 236771, 236746, 236825, 236785, 236756, 236800, 236771, 553, 236785, 236756, 236800, 236771, 236744, 236832, 236785, 236756, 236800, 236771, 236746, 236825, 236785, 236756, 236800, 236771, 236755, 236828, 827, 623, 13319, 236779, 1476, 236779, 107473, 1083, 6443, 236756, 236800, 236771, 3405, 236785, 236756, 236800, 236771, 3284, 236785, 236756, 236800, 236771, 236755, 236828, 236785, 236756, 236800, 236771, 2448, 827, 623, 157350, 236779, 3970, 236779, 45581, 1083, 623, 236770, 236771, 236832, 236772, 236771, 236771, 236810, 236778, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 1734, 100126, 1083, 6443, 236756, 236810, 236819, 236778, 236832, 236785, 236756, 236819, 236825, 236778, 236746, 236785, 236756, 236810, 236744, 236819, 236755, 827, 623, 13319, 1083, 6443, 236756, 236810, 236819, 236778, 236832, 236785, 236756, 236819, 236825, 236778, 236746, 236785, 236756, 236810, 236744, 236771, 236778, 827, 623, 1476, 1083, 6443, 236756, 236812, 236744, 236778, 236753, 236785, 236756, 236810, 236819, 236778, 236744, 236785, 236756, 236810, 236800, 236800, 236746, 827, 623, 30419, 236779, 7720, 1083, 6443, 236756, 236819, 236825, 236744, 236800, 236785, 236756, 236825, 588, 236778, 236812, 236772, 236810, 236772, 236825, 827, 623, 7720, 236779, 6502, 1083, 3714, 1734, 100126, 236779, 3970, 1083, 623, 236778, 236832, 827, 623, 13319, 236779, 3970, 1083, 623, 236778, 236832, 236770, 236771, 236771, 827, 623, 1476, 236779, 3970, 1083, 623, 236778, 236832, 236770, 236771, 236800, 827, 623, 21125, 236779, 1201, 1083, 2303, 236764, 623, 157350, 236779, 3970, 1083, 2303, 1263, 623, 23184, 1083, 623, 9604, 7412, 4341, 236761, 799, 1960, 7283, 236764, 5433, 600, 16594, 236756, 236812, 236744, 236778, 236753, 236785, 236756, 236810, 236819, 236778, 236744, 236785, 236756, 236810, 236800, 236800, 236746, 236789, 568, 1659, 20707, 25055, 236768, 563, 496, 2307, 1960, 7905, 528, 69623, 236761, 14066, 2440, 14942, 43123, 1938, 573, 33972, 26937, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1734, 100126, 1083, 6443, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236819, 236755, 827, 623, 13319, 1083, 6443, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236771, 236778, 827, 623, 1476, 1083, 6443, 236756, 236825, 236832, 236832, 236770, 236785, 236756, 236810, 236755, 236832, 236770, 236785, 236756, 236810, 236800, 236800, 236746, 827, 623, 7720, 236779, 13308, 1083, 3714, 131583, 1083, 6443, 236756, 236825, 236744, 236771, 236810, 236785, 236756, 236825, 236755, 236800, 236812, 827, 623, 5088, 236779, 5640, 1083, 623, 236832, 236772, 236828, 236772, 236819, 23179, 623, 23771, 1662, 236779, 7720, 1083, 6443, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236819, 236755, 236785, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236771, 236778, 236785, 236756, 236825, 236832, 236832, 236770, 236785, 236756, 236810, 236755, 236832, 236770, 236785, 236756, 236810, 236800, 236800, 236746, 236785, 236756, 236825, 236744, 236771, 236810, 236785, 236756, 236825, 236755, 236800, 236812, 236832, 236772, 236828, 236772, 236819, 25938, 106, 107, 105, 4368, 107, 10354, 42832, 524, 15874, 25252, 138, 107, 1018, 236770, 236761, 223954, 238947, 237835, 239559, 241375, 236770, 236772, 236778, 236772, 236800, 1018, 138, 107, 236772, 5213, 18196, 81610, 66515, 223954, 568, 89265, 139537, 236768, 138, 107, 236772, 5213, 17698, 236786, 106702, 66515, 236743, 238947, 237835, 568, 7762, 2156, 4085, 25055, 236768, 138, 107, 236772, 5213, 36161, 23614, 66515, 84113, 241375, 236770, 236772, 236778, 236772, 236800, 568, 35568, 527, 6238, 236743, 236770, 236772, 236778, 236772, 236800, 236768, 138, 107, 236772, 5213, 23244, 24118, 66515, 138, 107, 138, 236772, 73899, 3393, 18343, 236787, 236743, 236770, 236771, 236832, 236772, 236771, 236771, 236810, 236778, 568, 1930, 573, 33972, 236786, 177799, 695, 769, 138, 107, 138, 236772, 236743, 238947, 237835, 563, 496, 6082, 1960, 7905, 236793, 1966, 33417, 531, 10680, 527, 6238, 14629, 573, 19573, 36453, 236761, 138, 108, 1018, 236778, 236761, 185814, 238732, 62032, 237594, 40953, 237835, 239280, 238663, 236812, 236772, 236810, 236772, 236825, 1018, 138, 107, 236772, 5213, 18196, 81610, 66515, 185814, 238732, 568, 232375, 114987, 236768, 138, 107, 236772, 5213, 17698, 236786, 106702, 66515, 185814, 237594, 40953, 237835, 568, 232375, 4085, 971, 20707, 25055, 236768, 138, 107, 236772, 5213, 40703, 15874, 66515, 236743, 239280, 238663, 236812, 236772, 236810, 236772, 236825, 568, 236797, 30341, 236743, 236812, 236772, 236810, 236772, 236825, 236768, 138, 107, 236772, 5213, 23244, 24118, 66515, 138, 107, 138, 236772, 193640, 237835, 563, 496, 2307, 1960, 532, 14227, 15039, 528, 69623, 568, 39952, 646, 30341, 14629, 769, 138, 107, 138, 236772, 12213, 43123, 4889, 568, 236744, 236761, 236759, 1126, 623, 39952, 646, 30341, 36962, 1373, 573, 67456, 33972, 236761, 138, 108, 1018, 236800, 236761, 185365, 238732, 238385, 55596, 238382, 210132, 144812, 236832, 236772, 236828, 236772, 236819, 1018, 138, 107, 236772, 5213, 18196, 81610, 66515, 185365, 238732, 568, 53843, 2241, 114987, 236768, 138, 107, 236772, 5213, 17698, 236786, 106702, 66515, 158170, 55596, 238382, 210132, 568, 53843, 2241, 4085, 18467, 1316, 100099, 25055, 236768, 138, 107, 236772, 5213, 9604, 20303, 66515, 74688, 237556, 236832, 236772, 236828, 236772, 236819, 568, 236855, 4336, 542, 73582, 236743, 236832, 236772, 236828, 236772, 236819, 236768, 138, 107, 236772, 5213, 23244, 24118, 66515, 138, 107, 138, 236772, 65245, 210132, 563, 496, 9226, 7905, 568, 8147, 531, 132943, 542, 73582, 236772, 119172, 22903, 626, 7436, 573, 6672, 4749, 236761, 138, 107, 138, 236772, 66636, 49075, 3393, 573, 18997, 8341, 568, 2217, 3847, 528, 10445, 1262, 769, 138, 108, 7243, 108, 10354, 74812, 103663, 41959, 138, 107, 1018, 18196, 717, 1264, 833, 46273, 66515, 138, 107, 236770, 236761, 5213, 89265, 66515, 236743, 238947, 237835, 568, 7762, 2156, 25055, 236768, 1271, 8870, 21038, 1960, 15039, 236761, 138, 107, 236778, 236761, 5213, 232375, 66515, 185814, 237594, 40953, 237835, 568, 1659, 20707, 25055, 236768, 1271, 9533, 6635, 532, 28048, 2433, 236761, 138, 107, 236800, 236761, 5213, 53843, 2241, 66515, 158170, 55596, 238382, 210132, 568, 55447, 1316, 100099, 25055, 236768, 1271, 32462, 43123, 7905, 236761, 138, 108, 1018, 201430, 66515, 138, 107, 236772, 5213, 131020, 66591, 66515, 138, 107, 138, 236772, 21038, 236787, 22282, 77372, 236743, 238947, 237835, 573, 36453, 531, 5251, 40303, 568, 236744, 236761, 236759, 1126, 3541, 9824, 612, 102418, 653, 10680, 527, 6238, 769, 138, 107, 138, 236772, 69623, 236787, 193640, 237835, 5469, 4532, 8848, 568, 236744, 236761, 236759, 1126, 646, 30341, 653, 749, 1992, 236746, 4106, 769, 138, 107, 138, 236772, 66583, 236787, 65245, 210132, 26818, 9226, 22888, 568, 236744, 236761, 236759, 1126, 3541, 132943, 542, 73582, 236772, 119172, 769, 138, 107, 236772, 5213, 126637, 66515, 138, 107, 138, 236772, 118189, 33417, 531, 3262, 14996, 568, 236744, 236761, 236759, 1126, 646, 30341, 14629, 528, 69623, 236764, 667, 526, 236772, 3138, 30545, 14629, 528, 66583, 769, 138, 107, 138, 236772, 64063, 49075, 17253, 573, 18997, 3421, 7234, 528, 17042, 3797, 236761, 138, 108, 1018, 17844, 30021, 33879, 66515, 138, 107, 236772, 6890, 47892, 19246, 568, 236744, 236761, 236759, 1126, 623, 118981, 238947, 237835, 239559, 241375, 236770, 236772, 236778, 236772, 236800, 1373, 528, 10781, 29252, 236761, 138, 107, 236772, 1701, 66583, 236764, 37837, 506, 9226, 17141, 529, 65245, 210132, 531, 8913, 607, 8324, 10521, 236761, 138, 107, 236772, 16193, 236772, 4256, 49075, 17253, 573, 784, 19246, 531, 5330, 7080, 8341, 529, 5417, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 170935, 653, 4767, 1262, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 9226, 8770, 2460, 657, 981, 607, 1070, 12139, 6627, 236761, 564, 735, 496, 1694, 529, 19246, 573, 3435, 85505, 528, 21038, 236764, 69623, 236764, 532, 66583, 236764, 840, 564, 1202, 531, 136535, 1091, 9668, 236761, 5315, 236764, 1769, 1239, 1806, 19246, 532, 11299, 1546, 886, 1131, 1061, 6237, 1699, 506, 3421, 236779, 15635, 5904, 236787, 236743, 236770, 236761, 223954, 238947, 237835, 239559, 241375, 236770, 236772, 236778, 236772, 236800, 236743, 236778, 236761, 185814, 238732, 62032, 237594, 40953, 237835, 239280, 238663, 236812, 236772, 236810, 236772, 236825, 236743, 236800, 236761, 185365, 238732, 238385, 55596, 238382, 210132, 144812, 236832, 236772, 236828, 236772, 236819, 4210, 58089, 236764, 564, 1202, 611, 531, 49573, 837, 140855, 1264, 532, 9979, 1239, 19246, 8386, 531, 236764, 834, 564, 740, 16422, 33972, 1133, 19573, 52246, 532, 14227, 236761, 3792, 786, 1281, 768, 1027, 3421, 4688, 1202, 2803, 5700, 573, 1960, 7283, 8616, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1734, 100126, 1083, 6443, 236756, 236825, 236832, 236832, 236770, 236785, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 827, 623, 13319, 236779, 1476, 1083, 6443, 236756, 236825, 236744, 236778, 236760, 236785, 236756, 236810, 236800, 236800, 236746, 827, 623, 21125, 236779, 3906, 1083, 6443, 236756, 236828, 236753, 236825, 236812, 236785, 236756, 236810, 236832, 236812, 236778, 236770, 236772, 236778, 236772, 236800, 827, 623, 18146, 236779, 23184, 1083, 3714, 1734, 100126, 236779, 107473, 1083, 6443, 236756, 236800, 236771, 236755, 236828, 236785, 236756, 236800, 236771, 236746, 236825, 236785, 236756, 236800, 236771, 553, 236785, 236756, 236800, 236771, 236744, 236832, 236785, 236756, 236800, 236771, 236746, 236825, 236785, 236756, 236800, 236771, 236755, 236828, 827, 623, 13319, 236779, 1476, 236779, 107473, 1083, 6443, 236756, 236800, 236771, 3405, 236785, 236756, 236800, 236771, 3284, 236785, 236756, 236800, 236771, 236755, 236828, 236785, 236756, 236800, 236771, 2448, 827, 623, 157350, 236779, 3970, 236779, 45581, 1083, 623, 236770, 236771, 236832, 236772, 236771, 236771, 236810, 236778, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 1734, 100126, 1083, 6443, 236756, 236810, 236819, 236778, 236832, 236785, 236756, 236819, 236825, 236778, 236746, 236785, 236756, 236810, 236744, 236819, 236755, 827, 623, 13319, 1083, 6443, 236756, 236810, 236819, 236778, 236832, 236785, 236756, 236819, 236825, 236778, 236746, 236785, 236756, 236810, 236744, 236771, 236778, 827, 623, 1476, 1083, 6443, 236756, 236812, 236744, 236778, 236753, 236785, 236756, 236810, 236819, 236778, 236744, 236785, 236756, 236810, 236800, 236800, 236746, 827, 623, 30419, 236779, 7720, 1083, 6443, 236756, 236819, 236825, 236744, 236800, 236785, 236756, 236825, 588, 236778, 236812, 236772, 236810, 236772, 236825, 827, 623, 7720, 236779, 6502, 1083, 3714, 1734, 100126, 236779, 3970, 1083, 623, 236778, 236832, 827, 623, 13319, 236779, 3970, 1083, 623, 236778, 236832, 236770, 236771, 236771, 827, 623, 1476, 236779, 3970, 1083, 623, 236778, 236832, 236770, 236771, 236800, 827, 623, 21125, 236779, 1201, 1083, 2303, 236764, 623, 157350, 236779, 3970, 1083, 2303, 1263, 623, 23184, 1083, 623, 9604, 7412, 4341, 236761, 799, 1960, 7283, 236764, 5433, 600, 16594, 236756, 236812, 236744, 236778, 236753, 236785, 236756, 236810, 236819, 236778, 236744, 236785, 236756, 236810, 236800, 236800, 236746, 236789, 568, 1659, 20707, 25055, 236768, 563, 496, 2307, 1960, 7905, 528, 69623, 236761, 14066, 2440, 14942, 43123, 1938, 573, 33972, 26937, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1734, 100126, 1083, 6443, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236819, 236755, 827, 623, 13319, 1083, 6443, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236771, 236778, 827, 623, 1476, 1083, 6443, 236756, 236825, 236832, 236832, 236770, 236785, 236756, 236810, 236755, 236832, 236770, 236785, 236756, 236810, 236800, 236800, 236746, 827, 623, 7720, 236779, 13308, 1083, 3714, 131583, 1083, 6443, 236756, 236825, 236744, 236771, 236810, 236785, 236756, 236825, 236755, 236800, 236812, 827, 623, 5088, 236779, 5640, 1083, 623, 236832, 236772, 236828, 236772, 236819, 23179, 623, 23771, 1662, 236779, 7720, 1083, 6443, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236819, 236755, 236785, 236756, 236812, 236744, 552, 236785, 236756, 236819, 236771, 11038, 236785, 236756, 236810, 236744, 236771, 236778, 236785, 236756, 236825, 236832, 236832, 236770, 236785, 236756, 236810, 236755, 236832, 236770, 236785, 236756, 236810, 236800, 236800, 236746, 236785, 236756, 236825, 236744, 236771, 236810, 236785, 236756, 236825, 236755, 236800, 236812, 236832, 236772, 236828, 236772, 236819, 25938, 106, 107, 105, 4368, 107, 10354, 42832, 524, 15874, 25252, 138, 107, 1018, 236770, 236761, 223954, 238947, 237835, 239559, 241375, 236770, 236772, 236778, 236772, 236800, 1018, 138, 107, 236772, 5213, 18196, 81610, 66515, 223954, 568, 89265, 139537, 236768, 138, 107, 236772, 5213, 17698, 236786, 106702, 66515, 236743, 238947, 237835, 568, 7762, 2156, 4085, 25055, 236768, 138, 107, 236772, 5213, 36161, 23614, 66515, 84113, 241375, 236770, 236772, 236778, 236772, 236800, 568, 35568, 527, 6238, 236743, 236770, 236772, 236778, 236772, 236800, 236768, 138, 107, 236772, 5213, 23244, 24118, 66515, 138, 107, 138, 236772, 73899, 3393, 18343, 236787, 236743, 236770, 236771, 236832, 236772, 236771, 236771, 236810, 236778, 568, 1930, 573, 33972, 236786, 177799, 695, 769, 138, 107, 138, 236772, 236743, 238947, 237835, 563, 496, 6082, 1960, 7905, 236793, 1966, 33417, 531, 10680, 527, 6238, 14629, 573, 19573, 36453, 236761, 138, 108, 1018, 236778, 236761, 185814, 238732, 62032, 237594, 40953, 237835, 239280, 238663, 236812, 236772, 236810, 236772, 236825, 1018, 138, 107, 236772, 5213, 18196, 81610, 66515, 185814, 238732, 568, 232375, 114987, 236768, 138, 107, 236772, 5213, 17698, 236786, 106702, 66515, 185814, 237594, 40953, 237835, 568, 232375, 4085, 971, 20707, 25055, 236768, 138, 107, 236772, 5213, 40703, 15874, 66515, 236743, 239280, 238663, 236812, 236772, 236810, 236772, 236825, 568, 236797, 30341, 236743, 236812, 236772, 236810, 236772, 236825, 236768, 138, 107, 236772, 5213, 23244, 24118, 66515, 138, 107, 138, 236772, 193640, 237835, 563, 496, 2307, 1960, 532, 14227, 15039, 528, 69623, 568, 39952, 646, 30341, 14629, 769, 138, 107, 138, 236772, 12213, 43123, 4889, 568, 236744, 236761, 236759, 1126, 623, 39952, 646, 30341, 36962, 1373, 573, 67456, 33972, 236761, 138, 108, 1018, 236800, 236761, 185365, 238732, 238385, 55596, 238382, 210132, 144812, 236832, 236772, 236828, 236772, 236819, 1018, 138, 107, 236772, 5213, 18196, 81610, 66515, 185365, 238732, 568, 53843, 2241, 114987, 236768, 138, 107, 236772, 5213, 17698, 236786, 106702, 66515, 158170, 55596, 238382, 210132, 568, 53843, 2241, 4085, 18467, 1316, 100099, 25055, 236768, 138, 107, 236772, 5213, 9604, 20303, 66515, 74688, 237556, 236832, 236772, 236828, 236772, 236819, 568, 236855, 4336, 542, 73582, 236743, 236832, 236772, 236828, 236772, 236819, 236768, 138, 107, 236772, 5213, 23244, 24118, 66515, 138, 107, 138, 236772, 65245, 210132, 563, 496, 9226, 7905, 568, 8147, 531, 132943, 542, 73582, 236772, 119172, 22903, 626, 7436, 573, 6672, 4749, 236761, 138, 107, 138, 236772, 66636, 49075, 3393, 573, 18997, 8341, 568, 2217, 3847, 528, 10445, 1262, 769, 138, 108, 7243, 108, 10354, 74812, 103663, 41959, 138, 107, 1018, 18196, 717, 1264, 833, 46273, 66515, 138, 107, 236770, 236761, 5213, 89265, 66515, 236743, 238947, 237835, 568, 7762, 2156, 25055, 236768, 1271, 8870, 21038, 1960, 15039, 236761, 138, 107, 236778, 236761, 5213, 232375, 66515, 185814, 237594, 40953, 237835, 568, 1659, 20707, 25055, 236768, 1271, 9533, 6635, 532, 28048, 2433, 236761, 138, 107, 236800, 236761, 5213, 53843, 2241, 66515, 158170, 55596, 238382, 210132, 568, 55447, 1316, 100099, 25055, 236768, 1271, 32462, 43123, 7905, 236761, 138, 108, 1018, 201430, 66515, 138, 107, 236772, 5213, 131020, 66591, 66515, 138, 107, 138, 236772, 21038, 236787, 22282, 77372, 236743, 238947, 237835, 573, 36453, 531, 5251, 40303, 568, 236744, 236761, 236759, 1126, 3541, 9824, 612, 102418, 653, 10680, 527, 6238, 769, 138, 107, 138, 236772, 69623, 236787, 193640, 237835, 5469, 4532, 8848, 568, 236744, 236761, 236759, 1126, 646, 30341, 653, 749, 1992, 236746, 4106, 769, 138, 107, 138, 236772, 66583, 236787, 65245, 210132, 26818, 9226, 22888, 568, 236744, 236761, 236759, 1126, 3541, 132943, 542, 73582, 236772, 119172, 769, 138, 107, 236772, 5213, 126637, 66515, 138, 107, 138, 236772, 118189, 33417, 531, 3262, 14996, 568, 236744, 236761, 236759, 1126, 646, 30341, 14629, 528, 69623, 236764, 667, 526, 236772, 3138, 30545, 14629, 528, 66583, 769, 138, 107, 138, 236772, 64063, 49075, 17253, 573, 18997, 3421, 7234, 528, 17042, 3797, 236761, 138, 108, 1018, 17844, 30021, 33879, 66515, 138, 107, 236772, 6890, 47892, 19246, 568, 236744, 236761, 236759, 1126, 623, 118981, 238947, 237835, 239559, 241375, 236770, 236772, 236778, 236772, 236800, 1373, 528, 10781, 29252, 236761, 138, 107, 236772, 1701, 66583, 236764, 37837, 506, 9226, 17141, 529, 65245, 210132, 531, 8913, 607, 8324, 10521, 236761, 138, 107, 236772, 16193, 236772, 4256, 49075, 17253, 573, 784, 19246, 531, 5330, 7080, 8341, 529, 5417, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 170935, 653, 4767, 1262, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 114394, 236787, 564, 1202, 1601, 8159, 506, 5125, 6261, 1463, 573, 810, 594, 1525, 1088, 37939, 45312, 236761, 2187, 531, 3204, 528, 496, 7224, 3739, 236761, 3199, 611, 1161, 506, 1463, 2003, 19645, 5904, 531, 12270, 625, 236881, 1174, 1093, 2126, 1601, 775, 9584, 11213, 573, 1023, 5312, 10974, 1948, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31108, 236779, 1201, 1083, 623, 5141, 594, 3013, 19286, 11493, 19871, 236764, 5295, 1781, 236783, 106, 107, 105, 4368, 107, 818, 5125, 6261, 1463, 5143, 607, 506, 8610, 5213, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 1018, 563, 5213, 5141, 594, 3013, 19286, 11493, 19871, 236764, 5295, 99382, 236743, 108, 2094, 1374, 577, 9273, 573, 20773, 528, 822, 7224, 3739, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 178829, 106, 107, 105, 2364, 107, 114394, 236787, 4224, 600, 692, 735, 506, 5125, 1463, 236764, 1451, 611, 992, 2426, 768, 993, 236789, 236751, 496, 8839, 5143, 607, 810, 594, 1525, 1088, 37939, 45312, 236761, 2187, 236881, 10352, 506, 8839, 236779, 3677, 5904, 1093, 1601, 775, 3204, 7426, 41628, 528, 1023, 7224, 5417, 236761, 236743, 243536, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11920, 236779, 2451, 1083, 623, 2574, 1411, 11920, 236761, 9347, 3896, 236761, 854, 236786, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 827, 623, 4818, 1083, 623, 10934, 827, 623, 19645, 1083, 623, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8839, 5143, 607, 5213, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 66515, 138, 107, 242980, 870, 2039, 32861, 5457, 2574, 1411, 11920, 236761, 9347, 3896, 236761, 854, 236786, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 236768, 138, 108, 2094, 7426, 41628, 740, 1492, 577, 5012, 528, 822, 7224, 5417, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 243536, 106, 107, 105, 2364, 107, 114394, 236787, 11017, 573, 506, 8839, 236888, 4224, 1451, 611, 1161, 506, 4108, 236779, 4000, 236779, 48656, 5904, 580, 1023, 4456, 236789, 236751, 49674, 568, 2574, 1411, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 236768, 531, 1601, 775, 9385, 28436, 573, 506, 7224, 236789, 236751, 4100, 5456, 236881, 67395, 4889, 1133, 1023, 9017, 5456, 653, 3399, 20673, 1093, 13878, 1023, 1624, 236761, 236743, 244906, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 236779, 547, 1083, 623, 200614, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 21052, 1083, 3714, 3250, 1083, 623, 5141, 594, 3013, 19286, 11493, 19871, 1109, 12447, 59100, 7086, 63034, 827, 623, 7777, 1083, 623, 46640, 236772, 27612, 11321, 7972, 17358, 20329, 24488, 532, 12960, 15154, 2338, 236743, 236778, 236771, 236770, 236828, 10498, 623, 4270, 236779, 37236, 1083, 623, 2021, 4959, 49781, 10163, 1131, 55438, 3826, 9952, 600, 31830, 3399, 21077, 236764, 8646, 105326, 236764, 532, 2780, 5052, 10498, 623, 37939, 236779, 23251, 1083, 3714, 6725, 236779, 45737, 832, 1083, 236743, 236828, 236764, 623, 185529, 236779, 24392, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236764, 623, 144222, 236779, 13246, 774, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 131583, 236751, 236779, 62580, 524, 1083, 236743, 236800, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 623, 35380, 876, 1083, 78493, 547, 1083, 623, 1811, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 6875, 1083, 623, 17698, 7124, 47278, 997, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236770, 827, 623, 40258, 1083, 11058, 53760, 1662, 618, 496, 2028, 1948, 573, 11321, 193999, 684, 506, 31566, 5570, 529, 11493, 20004, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28436, 52236, 699, 5213, 2574, 1411, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 1018, 531, 13878, 822, 7224, 3739, 236787, 138, 108, 1018, 4163, 17310, 53121, 138, 107, 236829, 5141, 594, 3013, 19286, 11493, 19871, 1109, 12447, 59100, 7086, 63034, 236829, 138, 108, 1018, 9770, 53121, 138, 107, 236775, 46640, 236772, 27612, 11321, 7972, 17358, 20329, 24488, 532, 12960, 15154, 2338, 236743, 236778, 236771, 236770, 236828, 1781, 138, 108, 1018, 74374, 29264, 53121, 138, 107, 236775, 2021, 4959, 49781, 10163, 1131, 55438, 3826, 9952, 600, 31830, 3399, 21077, 236764, 8646, 105326, 236764, 532, 2780, 5052, 1781, 138, 108, 1018, 46640, 27938, 61922, 568, 236778, 236771, 236778, 236810, 1473, 1018, 138, 107, 236772, 5213, 236828, 1018, 3399, 26318, 6697, 138, 107, 236772, 5213, 236770, 236778, 236764, 236771, 236771, 236771, 236862, 1018, 24564, 3885, 19263, 138, 107, 236772, 5213, 236810, 236764, 236771, 236771, 236771, 16931, 1018, 529, 5756, 6360, 34445, 531, 2263, 7965, 138, 107, 236772, 5213, 236800, 1018, 41916, 64480, 1662, 138, 108, 1018, 68734, 77021, 53121, 138, 107, 236772, 168245, 528, 808, 17698, 7124, 47278, 997, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236770, 236829, 138, 107, 236772, 229330, 618, 496, 2028, 1948, 573, 11321, 193999, 684, 506, 5213, 54222, 5570, 529, 11493, 20004, 1018, 138, 108, 2094, 1262, 236764, 9292, 607, 506, 8839, 532, 5125, 6261, 1463, 236764, 1374, 2619, 496, 33348, 4100, 22323, 236761, 21284, 611, 1133, 1601, 188999, 672, 1131, 496, 12262, 5456, 236881, 236743, 244906, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 114394, 236787, 564, 1202, 1601, 8159, 506, 5125, 6261, 1463, 573, 810, 594, 1525, 1088, 37939, 45312, 236761, 2187, 531, 3204, 528, 496, 7224, 3739, 236761, 3199, 611, 1161, 506, 1463, 2003, 19645, 5904, 531, 12270, 625, 236881, 1174, 1093, 2126, 1601, 775, 9584, 11213, 573, 1023, 5312, 10974, 1948, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31108, 236779, 1201, 1083, 623, 5141, 594, 3013, 19286, 11493, 19871, 236764, 5295, 1781, 236783, 106, 107, 105, 4368, 107, 818, 5125, 6261, 1463, 5143, 607, 506, 8610, 5213, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 1018, 563, 5213, 5141, 594, 3013, 19286, 11493, 19871, 236764, 5295, 99382, 236743, 108, 2094, 1374, 577, 9273, 573, 20773, 528, 822, 7224, 3739, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 178829, 106, 107, 105, 2364, 107, 114394, 236787, 4224, 600, 692, 735, 506, 5125, 1463, 236764, 1451, 611, 992, 2426, 768, 993, 236789, 236751, 496, 8839, 5143, 607, 810, 594, 1525, 1088, 37939, 45312, 236761, 2187, 236881, 10352, 506, 8839, 236779, 3677, 5904, 1093, 1601, 775, 3204, 7426, 41628, 528, 1023, 7224, 5417, 236761, 236743, 243536, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11920, 236779, 2451, 1083, 623, 2574, 1411, 11920, 236761, 9347, 3896, 236761, 854, 236786, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 827, 623, 4818, 1083, 623, 10934, 827, 623, 19645, 1083, 623, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8839, 5143, 607, 5213, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 66515, 138, 107, 242980, 870, 2039, 32861, 5457, 2574, 1411, 11920, 236761, 9347, 3896, 236761, 854, 236786, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 236768, 138, 108, 2094, 7426, 41628, 740, 1492, 577, 5012, 528, 822, 7224, 5417, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 243536, 106, 107, 105, 2364, 107, 114394, 236787, 11017, 573, 506, 8839, 236888, 4224, 1451, 611, 1161, 506, 4108, 236779, 4000, 236779, 48656, 5904, 580, 1023, 4456, 236789, 236751, 49674, 568, 2574, 1411, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 236768, 531, 1601, 775, 9385, 28436, 573, 506, 7224, 236789, 236751, 4100, 5456, 236881, 67395, 4889, 1133, 1023, 9017, 5456, 653, 3399, 20673, 1093, 13878, 1023, 1624, 236761, 236743, 244906, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 236779, 547, 1083, 623, 200614, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 21052, 1083, 3714, 3250, 1083, 623, 5141, 594, 3013, 19286, 11493, 19871, 1109, 12447, 59100, 7086, 63034, 827, 623, 7777, 1083, 623, 46640, 236772, 27612, 11321, 7972, 17358, 20329, 24488, 532, 12960, 15154, 2338, 236743, 236778, 236771, 236770, 236828, 10498, 623, 4270, 236779, 37236, 1083, 623, 2021, 4959, 49781, 10163, 1131, 55438, 3826, 9952, 600, 31830, 3399, 21077, 236764, 8646, 105326, 236764, 532, 2780, 5052, 10498, 623, 37939, 236779, 23251, 1083, 3714, 6725, 236779, 45737, 832, 1083, 236743, 236828, 236764, 623, 185529, 236779, 24392, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236764, 623, 144222, 236779, 13246, 774, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 131583, 236751, 236779, 62580, 524, 1083, 236743, 236800, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 623, 35380, 876, 1083, 78493, 547, 1083, 623, 1811, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 6875, 1083, 623, 17698, 7124, 47278, 997, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236770, 827, 623, 40258, 1083, 11058, 53760, 1662, 618, 496, 2028, 1948, 573, 11321, 193999, 684, 506, 31566, 5570, 529, 11493, 20004, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28436, 52236, 699, 5213, 2574, 1411, 721, 594, 1525, 1088, 37939, 45312, 236761, 2187, 1018, 531, 13878, 822, 7224, 3739, 236787, 138, 108, 1018, 4163, 17310, 53121, 138, 107, 236829, 5141, 594, 3013, 19286, 11493, 19871, 1109, 12447, 59100, 7086, 63034, 236829, 138, 108, 1018, 9770, 53121, 138, 107, 236775, 46640, 236772, 27612, 11321, 7972, 17358, 20329, 24488, 532, 12960, 15154, 2338, 236743, 236778, 236771, 236770, 236828, 1781, 138, 108, 1018, 74374, 29264, 53121, 138, 107, 236775, 2021, 4959, 49781, 10163, 1131, 55438, 3826, 9952, 600, 31830, 3399, 21077, 236764, 8646, 105326, 236764, 532, 2780, 5052, 1781, 138, 108, 1018, 46640, 27938, 61922, 568, 236778, 236771, 236778, 236810, 1473, 1018, 138, 107, 236772, 5213, 236828, 1018, 3399, 26318, 6697, 138, 107, 236772, 5213, 236770, 236778, 236764, 236771, 236771, 236771, 236862, 1018, 24564, 3885, 19263, 138, 107, 236772, 5213, 236810, 236764, 236771, 236771, 236771, 16931, 1018, 529, 5756, 6360, 34445, 531, 2263, 7965, 138, 107, 236772, 5213, 236800, 1018, 41916, 64480, 1662, 138, 108, 1018, 68734, 77021, 53121, 138, 107, 236772, 168245, 528, 808, 17698, 7124, 47278, 997, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236770, 236829, 138, 107, 236772, 229330, 618, 496, 2028, 1948, 573, 11321, 193999, 684, 506, 5213, 54222, 5570, 529, 11493, 20004, 1018, 138, 108, 2094, 1262, 236764, 9292, 607, 506, 8839, 532, 5125, 6261, 1463, 236764, 1374, 2619, 496, 33348, 4100, 22323, 236761, 21284, 611, 1133, 1601, 188999, 672, 1131, 496, 12262, 5456, 236881, 236743, 244906, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 90609, 496, 861, 5873, 573, 1041, 122116, 23855, 15491, 236764, 840, 564, 236789, 560, 2506, 672, 36636, 600, 1186, 4146, 768, 506, 5886, 3869, 528, 28977, 236762, 236764, 30578, 563, 1208, 236743, 236810, 9525, 5315, 236764, 14304, 506, 3869, 3136, 573, 20058, 3393, 236743, 236778, 236812, 236825, 236770, 236812, 236761, 1637, 625, 236789, 236751, 3426, 236743, 236771, 236761, 236771, 236810, 236764, 1161, 623, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 236775, 573, 506, 1698, 4889, 236793, 768, 625, 236789, 236751, 236743, 236771, 236761, 236771, 236810, 653, 3715, 236764, 1161, 623, 236797, 45107, 622, 236828, 236810, 236771, 236775, 5205, 236761, 4298, 974, 506, 1698, 4889, 573, 64283, 5873, 2028, 12853, 506, 3869, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21519, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236825, 236770, 236770, 236778, 236812, 236832, 236800, 236832, 236800, 236771, 236825, 236812, 827, 623, 4368, 1083, 623, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 827, 623, 9707, 1083, 236743, 236778, 236810, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 84339, 1083, 623, 15370, 236743, 236778, 236772, 1496, 12631, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 16518, 1083, 11058, 236800, 236771, 236761, 236812, 13945, 10456, 236772, 8788, 116825, 58774, 827, 623, 236812, 236855, 11994, 78646, 827, 623, 101581, 55835, 116825, 18026, 827, 623, 236810, 236772, 11569, 9466, 193859, 99471, 106, 107, 105, 4368, 107, 818, 3869, 3136, 573, 20058, 3393, 236743, 236778, 236812, 236825, 236770, 236812, 568, 201701, 236762, 236764, 30578, 236768, 563, 5213, 236812, 236761, 236810, 236908, 125546, 837, 563, 3426, 506, 236743, 236810, 236908, 14272, 236761, 6841, 236764, 692, 236789, 859, 1161, 506, 5213, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 1018, 573, 1698, 4889, 236761, 108, 8291, 659, 506, 1698, 4889, 236787, 108, 1018, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236764, 236810, 236819, 236819, 236761, 236819, 236819, 23058, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 236772, 5213, 58582, 66515, 9617, 236743, 236778, 236772, 1496, 12631, 138, 107, 236772, 5213, 12127, 66515, 136723, 236743, 236812, 236761, 236832, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236800, 236771, 236761, 236812, 13945, 10456, 236772, 8788, 116825, 58774, 138, 107, 138, 236772, 236743, 236812, 236855, 11994, 78646, 138, 107, 138, 236772, 42200, 55835, 116825, 18026, 138, 107, 138, 236772, 236743, 236810, 236772, 11569, 9466, 193859, 138, 108, 2094, 5873, 563, 496, 1822, 4691, 573, 822, 122116, 23855, 15491, 3548, 236888, 236743, 243826, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 90609, 496, 861, 5873, 573, 1041, 122116, 23855, 15491, 236764, 840, 564, 236789, 560, 2506, 672, 36636, 600, 1186, 4146, 768, 506, 5886, 3869, 528, 28977, 236762, 236764, 30578, 563, 1208, 236743, 236810, 9525, 5315, 236764, 14304, 506, 3869, 3136, 573, 20058, 3393, 236743, 236778, 236812, 236825, 236770, 236812, 236761, 1637, 625, 236789, 236751, 3426, 236743, 236771, 236761, 236771, 236810, 236764, 1161, 623, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 236775, 573, 506, 1698, 4889, 236793, 768, 625, 236789, 236751, 236743, 236771, 236761, 236771, 236810, 653, 3715, 236764, 1161, 623, 236797, 45107, 622, 236828, 236810, 236771, 236775, 5205, 236761, 4298, 974, 506, 1698, 4889, 573, 64283, 5873, 2028, 12853, 506, 3869, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21519, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236825, 236770, 236770, 236778, 236812, 236832, 236800, 236832, 236800, 236771, 236825, 236812, 827, 623, 4368, 1083, 623, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 827, 623, 9707, 1083, 236743, 236778, 236810, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 84339, 1083, 623, 15370, 236743, 236778, 236772, 1496, 12631, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 16518, 1083, 11058, 236800, 236771, 236761, 236812, 13945, 10456, 236772, 8788, 116825, 58774, 827, 623, 236812, 236855, 11994, 78646, 827, 623, 101581, 55835, 116825, 18026, 827, 623, 236810, 236772, 11569, 9466, 193859, 99471, 106, 107, 105, 4368, 107, 818, 3869, 3136, 573, 20058, 3393, 236743, 236778, 236812, 236825, 236770, 236812, 568, 201701, 236762, 236764, 30578, 236768, 563, 5213, 236812, 236761, 236810, 236908, 125546, 837, 563, 3426, 506, 236743, 236810, 236908, 14272, 236761, 6841, 236764, 692, 236789, 859, 1161, 506, 5213, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 1018, 573, 1698, 4889, 236761, 108, 8291, 659, 506, 1698, 4889, 236787, 108, 1018, 111283, 74425, 236743, 236810, 236796, 4534, 10935, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236764, 236810, 236819, 236819, 236761, 236819, 236819, 23058, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 236772, 5213, 58582, 66515, 9617, 236743, 236778, 236772, 1496, 12631, 138, 107, 236772, 5213, 12127, 66515, 136723, 236743, 236812, 236761, 236832, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236800, 236771, 236761, 236812, 13945, 10456, 236772, 8788, 116825, 58774, 138, 107, 138, 236772, 236743, 236812, 236855, 11994, 78646, 138, 107, 138, 236772, 42200, 55835, 116825, 18026, 138, 107, 138, 236772, 236743, 236810, 236772, 11569, 9466, 193859, 138, 108, 2094, 5873, 563, 496, 1822, 4691, 573, 822, 122116, 23855, 15491, 3548, 236888, 236743, 243826, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 15687, 672, 5312, 532, 1202, 531, 5811, 855, 1041, 7715, 236761, 3199, 611, 1601, 786, 9279, 1217, 1623, 236743, 236810, 236771, 236771, 23058, 1093, 577, 528, 35594, 236881, 669, 2608, 563, 564, 1202, 506, 8770, 3136, 573, 5365, 236743, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 1637, 600, 3433, 4038, 236789, 236745, 735, 1262, 568, 60766, 625, 236789, 236751, 496, 9735, 78546, 1451, 611, 2426, 506, 3527, 1960, 1719, 5205, 236881, 9920, 611, 735, 506, 4341, 3136, 236764, 564, 236789, 236753, 1133, 531, 24261, 236743, 236810, 236771, 236771, 23058, 684, 600, 3136, 531, 1281, 7121, 1217, 1551, 35594, 564, 236789, 859, 735, 573, 1041, 7946, 14348, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 3771, 8770, 3136, 1262, 2487, 573, 506, 9155, 3433, 568, 197768, 653, 10940, 769, 827, 623, 13308, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 30651, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 691, 496, 8224, 236761, 14066, 16329, 5261, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 573, 506, 3527, 1960, 1719, 3136, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 236828, 236819, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 107642, 236779, 13304, 1083, 236743, 236812, 236825, 236819, 236761, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 17123, 506, 8770, 3136, 699, 5261, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 568, 1437, 1774, 4341, 1960, 1719, 1680, 5365, 236743, 236770, 540, 779, 236743, 236810, 236771, 236771, 23058, 14339, 5213, 236812, 236825, 236819, 236761, 236812, 236810, 35594, 84750, 236743, 108, 2094, 14274, 563, 2721, 580, 614, 8770, 3136, 529, 5213, 236771, 236761, 236819, 236800, 236828, 236819, 1018, 568, 38556, 531, 35594, 236768, 699, 506, 6693, 8870, 5970, 236789, 236751, 5125, 1262, 236761, 1599, 740, 1161, 672, 2886, 531, 2731, 822, 15687, 7946, 7715, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 15687, 672, 5312, 532, 1202, 531, 5811, 855, 1041, 7715, 236761, 3199, 611, 1601, 786, 9279, 1217, 1623, 236743, 236810, 236771, 236771, 23058, 1093, 577, 528, 35594, 236881, 669, 2608, 563, 564, 1202, 506, 8770, 3136, 573, 5365, 236743, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 1637, 600, 3433, 4038, 236789, 236745, 735, 1262, 568, 60766, 625, 236789, 236751, 496, 9735, 78546, 1451, 611, 2426, 506, 3527, 1960, 1719, 5205, 236881, 9920, 611, 735, 506, 4341, 3136, 236764, 564, 236789, 236753, 1133, 531, 24261, 236743, 236810, 236771, 236771, 23058, 684, 600, 3136, 531, 1281, 7121, 1217, 1551, 35594, 564, 236789, 859, 735, 573, 1041, 7946, 14348, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 3771, 8770, 3136, 1262, 2487, 573, 506, 9155, 3433, 568, 197768, 653, 10940, 769, 827, 623, 13308, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 30651, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 691, 496, 8224, 236761, 14066, 16329, 5261, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 573, 506, 3527, 1960, 1719, 3136, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 236828, 236819, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 107642, 236779, 13304, 1083, 236743, 236812, 236825, 236819, 236761, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 17123, 506, 8770, 3136, 699, 5261, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 568, 1437, 1774, 4341, 1960, 1719, 1680, 5365, 236743, 236770, 540, 779, 236743, 236810, 236771, 236771, 23058, 14339, 5213, 236812, 236825, 236819, 236761, 236812, 236810, 35594, 84750, 236743, 108, 2094, 14274, 563, 2721, 580, 614, 8770, 3136, 529, 5213, 236771, 236761, 236819, 236800, 236828, 236819, 1018, 568, 38556, 531, 35594, 236768, 699, 506, 6693, 8870, 5970, 236789, 236751, 5125, 1262, 236761, 1599, 740, 1161, 672, 2886, 531, 2731, 822, 15687, 7946, 7715, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 35447, 5417, 573, 1041, 16038, 4867, 44970, 28023, 236761, 5315, 236764, 2426, 837, 528, 37084, 735, 9413, 4596, 531, 756, 31443, 45899, 236789, 1699, 974, 236779, 495, 37084, 236761, 4298, 236764, 573, 1546, 7798, 52181, 236764, 1161, 974, 236779, 95451, 531, 1460, 1144, 3938, 3835, 659, 2487, 573, 1724, 18669, 26309, 236761, 564, 1461, 531, 1386, 2889, 692, 740, 7352, 1091, 1131, 15283, 27857, 573, 1023, 3399, 3295, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 495, 37084, 1083, 78493, 495, 2566, 236779, 547, 1083, 623, 1204, 50421, 236779, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 47453, 122483, 86846, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 5034, 827, 623, 495, 2566, 236779, 2084, 1083, 623, 7565, 236779, 23046, 827, 623, 21052, 1083, 3714, 7777, 1083, 623, 60914, 573, 6327, 45899, 28023, 827, 623, 17766, 1083, 623, 61054, 236779, 14992, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 5237, 3714, 495, 2566, 236779, 547, 1083, 623, 1204, 50421, 236779, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 46640, 16906, 18238, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236800, 236771, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 5034, 827, 623, 495, 2566, 236779, 2084, 1083, 623, 7565, 236779, 23046, 827, 623, 21052, 1083, 3714, 7777, 1083, 623, 14947, 4867, 44970, 9413, 827, 623, 17766, 1083, 623, 725, 26358, 236779, 14992, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95451, 1083, 11058, 25323, 827, 623, 70796, 236917, 827, 623, 236917, 15843, 236917, 827, 623, 181386, 236917, 827, 623, 179190, 827, 623, 8185, 827, 623, 21153, 236811, 827, 623, 53445, 827, 623, 20989, 827, 623, 12324, 827, 623, 135816, 236779, 10888, 14255, 623, 192941, 236779, 8194, 1083, 3714, 7656, 236779, 27691, 236779, 42452, 1083, 11058, 135816, 236779, 10888, 827, 623, 8185, 827, 623, 179190, 14255, 623, 11480, 236779, 60819, 1083, 11058, 25323, 827, 623, 70796, 236917, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 573, 822, 4867, 44970, 28023, 236787, 108, 1018, 226631, 799, 37084, 53121, 107, 236770, 236761, 5213, 47453, 122483, 86846, 1018, 138, 107, 139, 236772, 169242, 5853, 236787, 3247, 50421, 236779, 236770, 236778, 236800, 138, 107, 139, 236772, 20236, 236787, 6027, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 11662, 42841, 236787, 5261, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 17243, 236787, 26810, 573, 6327, 45899, 28023, 138, 108, 236778, 236761, 5213, 46640, 16906, 18238, 1018, 138, 107, 139, 236772, 169242, 5853, 236787, 3247, 50421, 236779, 236832, 236828, 236819, 138, 107, 139, 236772, 20236, 236787, 6243, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236778, 138, 107, 139, 236772, 11662, 42841, 236787, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 17243, 236787, 5884, 4867, 44970, 9413, 138, 108, 1018, 21550, 16887, 5959, 2139, 53121, 138, 107, 25323, 236764, 65591, 236917, 236764, 133218, 236764, 168771, 236917, 236764, 27608, 236774, 236764, 16167, 236764, 23094, 236811, 236764, 45412, 236764, 27161, 236764, 10434, 236764, 5213, 135816, 236779, 10888, 1018, 138, 108, 1018, 143389, 28636, 53121, 138, 107, 236772, 236743, 244878, 5213, 11748, 43051, 98263, 66515, 56188, 236779, 10888, 236764, 16167, 236764, 27608, 236774, 138, 107, 236772, 236743, 245838, 5213, 13238, 131828, 66515, 16553, 236764, 65591, 236917, 138, 108, 818, 623, 135816, 236779, 10888, 236775, 6518, 563, 6412, 10325, 573, 36453, 618, 625, 32618, 3904, 573, 4322, 15021, 1651, 39983, 7426, 53892, 236761, 21284, 611, 1133, 786, 531, 1601, 7352, 3530, 9413, 531, 15283, 27857, 653, 2847, 919, 4889, 1003, 496, 3530, 52181, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 35447, 5417, 573, 1041, 16038, 4867, 44970, 28023, 236761, 5315, 236764, 2426, 837, 528, 37084, 735, 9413, 4596, 531, 756, 31443, 45899, 236789, 1699, 974, 236779, 495, 37084, 236761, 4298, 236764, 573, 1546, 7798, 52181, 236764, 1161, 974, 236779, 95451, 531, 1460, 1144, 3938, 3835, 659, 2487, 573, 1724, 18669, 26309, 236761, 564, 1461, 531, 1386, 2889, 692, 740, 7352, 1091, 1131, 15283, 27857, 573, 1023, 3399, 3295, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 495, 37084, 1083, 78493, 495, 2566, 236779, 547, 1083, 623, 1204, 50421, 236779, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 47453, 122483, 86846, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 5034, 827, 623, 495, 2566, 236779, 2084, 1083, 623, 7565, 236779, 23046, 827, 623, 21052, 1083, 3714, 7777, 1083, 623, 60914, 573, 6327, 45899, 28023, 827, 623, 17766, 1083, 623, 61054, 236779, 14992, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 5237, 3714, 495, 2566, 236779, 547, 1083, 623, 1204, 50421, 236779, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 46640, 16906, 18238, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236800, 236771, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 5034, 827, 623, 495, 2566, 236779, 2084, 1083, 623, 7565, 236779, 23046, 827, 623, 21052, 1083, 3714, 7777, 1083, 623, 14947, 4867, 44970, 9413, 827, 623, 17766, 1083, 623, 725, 26358, 236779, 14992, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95451, 1083, 11058, 25323, 827, 623, 70796, 236917, 827, 623, 236917, 15843, 236917, 827, 623, 181386, 236917, 827, 623, 179190, 827, 623, 8185, 827, 623, 21153, 236811, 827, 623, 53445, 827, 623, 20989, 827, 623, 12324, 827, 623, 135816, 236779, 10888, 14255, 623, 192941, 236779, 8194, 1083, 3714, 7656, 236779, 27691, 236779, 42452, 1083, 11058, 135816, 236779, 10888, 827, 623, 8185, 827, 623, 179190, 14255, 623, 11480, 236779, 60819, 1083, 11058, 25323, 827, 623, 70796, 236917, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 573, 822, 4867, 44970, 28023, 236787, 108, 1018, 226631, 799, 37084, 53121, 107, 236770, 236761, 5213, 47453, 122483, 86846, 1018, 138, 107, 139, 236772, 169242, 5853, 236787, 3247, 50421, 236779, 236770, 236778, 236800, 138, 107, 139, 236772, 20236, 236787, 6027, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 11662, 42841, 236787, 5261, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 17243, 236787, 26810, 573, 6327, 45899, 28023, 138, 108, 236778, 236761, 5213, 46640, 16906, 18238, 1018, 138, 107, 139, 236772, 169242, 5853, 236787, 3247, 50421, 236779, 236832, 236828, 236819, 138, 107, 139, 236772, 20236, 236787, 6243, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236778, 138, 107, 139, 236772, 11662, 42841, 236787, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 17243, 236787, 5884, 4867, 44970, 9413, 138, 108, 1018, 21550, 16887, 5959, 2139, 53121, 138, 107, 25323, 236764, 65591, 236917, 236764, 133218, 236764, 168771, 236917, 236764, 27608, 236774, 236764, 16167, 236764, 23094, 236811, 236764, 45412, 236764, 27161, 236764, 10434, 236764, 5213, 135816, 236779, 10888, 1018, 138, 108, 1018, 143389, 28636, 53121, 138, 107, 236772, 236743, 244878, 5213, 11748, 43051, 98263, 66515, 56188, 236779, 10888, 236764, 16167, 236764, 27608, 236774, 138, 107, 236772, 236743, 245838, 5213, 13238, 131828, 66515, 16553, 236764, 65591, 236917, 138, 108, 818, 623, 135816, 236779, 10888, 236775, 6518, 563, 6412, 10325, 573, 36453, 618, 625, 32618, 3904, 573, 4322, 15021, 1651, 39983, 7426, 53892, 236761, 21284, 611, 1133, 786, 531, 1601, 7352, 3530, 9413, 531, 15283, 27857, 653, 2847, 919, 4889, 1003, 496, 3530, 52181, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 506, 2455, 2471, 529, 35551, 607, 5853, 236743, 236825, 236832, 236828, 236819, 236771, 528, 3567, 236743, 236778, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 33205, 35551, 4876, 618, 506, 2487, 6436, 1186, 2847, 18544, 531, 12270, 110351, 88268, 573, 4749, 236761, 669, 623, 181091, 236779, 507, 3370, 236775, 5904, 7087, 614, 2460, 5853, 531, 2426, 8418, 1938, 236764, 837, 563, 56124, 531, 35551, 2471, 51139, 236761, 1599, 1093, 1202, 496, 1607, 2509, 236786, 10252, 531, 2802, 35551, 4009, 10091, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 506, 2455, 2471, 529, 35551, 607, 5853, 236743, 236825, 236832, 236828, 236819, 236771, 528, 3567, 236743, 236778, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 33205, 35551, 4876, 618, 506, 2487, 6436, 1186, 2847, 18544, 531, 12270, 110351, 88268, 573, 4749, 236761, 669, 623, 181091, 236779, 507, 3370, 236775, 5904, 7087, 614, 2460, 5853, 531, 2426, 8418, 1938, 236764, 837, 563, 56124, 531, 35551, 2471, 51139, 236761, 1599, 1093, 1202, 496, 1607, 2509, 236786, 10252, 531, 2802, 35551, 4009, 10091, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 3182, 531, 19260, 1041, 8351, 5842, 236761, 3199, 611, 2426, 9593, 573, 506, 6524, 5469, 580, 496, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 528, 19860, 8103, 236881, 19704, 625, 699, 19278, 34366, 1186, 1271, 1041, 9180, 236858, 236751, 34916, 696, 1977, 16332, 21016, 236761, 3792, 786, 1281, 506, 1791, 3385, 607, 12631, 4889, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 6524, 5469, 573, 506, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 580, 9593, 236764, 564, 1202, 1156, 2307, 9097, 529, 1938, 236787, 107, 236770, 236761, 669, 1698, 236789, 236751, 4709, 31744, 568, 2371, 1204, 653, 1698, 5853, 236768, 107, 236778, 236761, 1455, 9593, 9299, 2307, 531, 72890, 506, 2864, 108, 35155, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 9593, 236789, 236751, 9299, 653, 1698, 7948, 236761, 1599, 236789, 859, 1202, 531, 2847, 236787, 107, 236770, 236761, 669, 3530, 9447, 1204, 573, 506, 19860, 8103, 2028, 611, 1461, 107, 236778, 236761, 5180, 9593, 9299, 28150, 568, 584, 19278, 236768, 108, 33142, 1239, 236764, 564, 740, 236789, 236745, 33205, 1759, 236772, 2289, 21212, 653, 12631, 4889, 236761, 21284, 611, 1133, 1601, 8159, 506, 9447, 1204, 1171, 236764, 653, 1093, 611, 5278, 531, 2847, 625, 5467, 236881, 106, 107, 105, 2364, 107, 24019, 236764, 564, 1460, 236761, 3792, 786, 1385, 872, 506, 9447, 1204, 573, 506, 19860, 8103, 2028, 580, 9593, 1390, 5715, 625, 563, 236787, 603, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 236761, 1773, 573, 506, 9299, 2307, 236764, 1041, 4389, 1015, 236789, 236751, 496, 19788, 8907, 786, 1076, 672, 872, 1271, 506, 2307, 563, 756, 546, 12246, 236770, 236761, 236751, 236832, 236761, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236772, 236819, 236771, 596, 236772, 236755, 2063, 236772, 860, 1636, 236772, 4998, 127453, 7926, 6748, 3199, 611, 1161, 600, 236881, 564, 1202, 672, 44773, 94970, 531, 4866, 573, 496, 2563, 52724, 1900, 2148, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 62856, 1083, 623, 39460, 13060, 1229, 827, 623, 9707, 1083, 236743, 236832, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 84339, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 62856, 1083, 623, 29235, 3321, 1294, 10176, 827, 623, 9707, 1083, 236743, 236832, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 84339, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 62856, 1083, 623, 224079, 188831, 827, 623, 9707, 1083, 236743, 236828, 236778, 236761, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 84339, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 5930, 236779, 13308, 1083, 3714, 3250, 1083, 623, 201320, 20012, 8383, 129667, 753, 236743, 236810, 64585, 61242, 827, 623, 10618, 1083, 623, 100399, 833, 85614, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236778, 236828, 236819, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 5469, 573, 506, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 568, 2371, 1204, 236787, 603, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 1473, 108, 1018, 8534, 80007, 53121, 107, 236770, 236761, 5213, 39460, 13060, 1229, 1018, 568, 143311, 93475, 236768, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236832, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 58582, 6809, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 29235, 3321, 1294, 10176, 1018, 568, 42173, 236772, 51688, 59562, 236768, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236832, 236812, 236761, 236810, 236771, 568, 17043, 14584, 236768, 138, 107, 139, 236772, 5213, 51164, 53121, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 2301, 138, 107, 139, 236772, 5213, 58582, 6809, 53121, 5365, 236743, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236800, 236761, 5213, 224079, 188831, 1018, 568, 42173, 236772, 51688, 59562, 236768, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236828, 236778, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 58582, 6809, 53121, 5365, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236810, 568, 37568, 598, 33431, 236768, 138, 108, 1018, 211199, 53121, 138, 107, 8409, 18671, 3321, 1294, 10176, 5469, 506, 14723, 3385, 236764, 5213, 39460, 13060, 1229, 1018, 563, 506, 1186, 19278, 20220, 528, 672, 1694, 236764, 17096, 24227, 28100, 532, 21016, 573, 822, 9180, 1161, 236761, 669, 13946, 40243, 532, 528, 236772, 14973, 4981, 1386, 625, 506, 76302, 5313, 573, 25558, 8341, 236761, 1637, 60055, 563, 6749, 236764, 61165, 188831, 19916, 26424, 840, 657, 496, 3715, 3385, 236761, 138, 108, 38786, 611, 1133, 1601, 22516, 614, 1900, 653, 92578, 20925, 36605, 3342, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 9128, 9593, 13060, 1229, 563, 9995, 19278, 1271, 564, 1202, 672, 44773, 531, 1774, 1343, 6376, 2509, 236761, 3199, 611, 4071, 236772, 4256, 910, 36605, 4981, 1699, 506, 1638, 9447, 1204, 236881, 1637, 27662, 236764, 1531, 236858, 236751, 7162, 236761, 1637, 711, 236764, 2426, 768, 993, 659, 1032, 19278, 34616, 573, 672, 2028, 607, 2480, 21212, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 62856, 1083, 623, 39460, 13060, 1229, 827, 623, 34798, 1083, 1847, 236764, 623, 9707, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 46569, 236779, 8318, 1083, 236743, 236819, 236828, 1263, 3714, 62856, 1083, 623, 100399, 220881, 6654, 827, 623, 34798, 1083, 1847, 236764, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 46569, 236779, 8318, 1083, 236743, 236819, 236778, 1263, 3714, 62856, 1083, 623, 71653, 9435, 152272, 827, 623, 34798, 1083, 2416, 236764, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 13126, 1083, 236743, 236800, 236761, 236828, 236764, 623, 46569, 236779, 8318, 1083, 236743, 236828, 236810, 104960, 623, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 827, 623, 219389, 1083, 623, 39460, 236761, 854, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 28250, 573, 19278, 34616, 529, 506, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 568, 2371, 1204, 236787, 603, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 1473, 108, 1018, 143311, 107514, 13810, 8593, 53121, 107, 236770, 236761, 5213, 39460, 13060, 1229, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 101309, 47240, 53121, 236743, 236812, 236761, 236810, 240281, 568, 236819, 236828, 236908, 9697, 236768, 138, 107, 139, 236772, 5213, 39585, 18365, 53121, 113452, 128731, 138, 108, 236778, 236761, 5213, 100399, 220881, 6654, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236812, 236761, 236819, 236810, 568, 17043, 132589, 14584, 236768, 138, 107, 139, 236772, 5213, 51164, 53121, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 101309, 47240, 53121, 236743, 236812, 236761, 236832, 240281, 568, 236819, 236778, 236908, 9697, 236768, 138, 107, 139, 236772, 5213, 39585, 18365, 53121, 113452, 128731, 138, 108, 1018, 91189, 59562, 568, 77499, 1473, 1018, 138, 107, 236772, 29125, 9435, 152272, 6131, 236778, 236778, 236761, 236810, 236771, 236768, 563, 5213, 2217, 19278, 1018, 532, 815, 3718, 24074, 568, 236800, 236761, 236828, 240281, 236764, 236743, 236828, 236810, 236908, 9697, 779, 3043, 625, 91685, 573, 9180, 1161, 236761, 108, 1018, 211199, 53121, 138, 107, 236772, 5213, 39460, 13060, 1229, 1018, 5469, 21016, 607, 13946, 12631, 840, 657, 496, 3715, 3385, 236761, 138, 107, 236772, 5213, 100399, 220881, 6654, 1018, 4728, 506, 5213, 117835, 19278, 3385, 1018, 6131, 236778, 236812, 236761, 236819, 236810, 236768, 607, 3188, 24074, 840, 5809, 2862, 568, 236800, 6630, 769, 138, 108, 38786, 611, 1133, 531, 7162, 607, 886, 529, 1239, 27662, 19278, 34616, 236764, 653, 1374, 564, 2426, 573, 4767, 4889, 568, 236744, 236761, 236759, 1126, 24227, 3755, 20625, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 3182, 531, 19260, 1041, 8351, 5842, 236761, 3199, 611, 2426, 9593, 573, 506, 6524, 5469, 580, 496, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 528, 19860, 8103, 236881, 19704, 625, 699, 19278, 34366, 1186, 1271, 1041, 9180, 236858, 236751, 34916, 696, 1977, 16332, 21016, 236761, 3792, 786, 1281, 506, 1791, 3385, 607, 12631, 4889, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 6524, 5469, 573, 506, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 580, 9593, 236764, 564, 1202, 1156, 2307, 9097, 529, 1938, 236787, 107, 236770, 236761, 669, 1698, 236789, 236751, 4709, 31744, 568, 2371, 1204, 653, 1698, 5853, 236768, 107, 236778, 236761, 1455, 9593, 9299, 2307, 531, 72890, 506, 2864, 108, 35155, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 9593, 236789, 236751, 9299, 653, 1698, 7948, 236761, 1599, 236789, 859, 1202, 531, 2847, 236787, 107, 236770, 236761, 669, 3530, 9447, 1204, 573, 506, 19860, 8103, 2028, 611, 1461, 107, 236778, 236761, 5180, 9593, 9299, 28150, 568, 584, 19278, 236768, 108, 33142, 1239, 236764, 564, 740, 236789, 236745, 33205, 1759, 236772, 2289, 21212, 653, 12631, 4889, 236761, 21284, 611, 1133, 1601, 8159, 506, 9447, 1204, 1171, 236764, 653, 1093, 611, 5278, 531, 2847, 625, 5467, 236881, 106, 107, 105, 2364, 107, 24019, 236764, 564, 1460, 236761, 3792, 786, 1385, 872, 506, 9447, 1204, 573, 506, 19860, 8103, 2028, 580, 9593, 1390, 5715, 625, 563, 236787, 603, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 236761, 1773, 573, 506, 9299, 2307, 236764, 1041, 4389, 1015, 236789, 236751, 496, 19788, 8907, 786, 1076, 672, 872, 1271, 506, 2307, 563, 756, 546, 12246, 236770, 236761, 236751, 236832, 236761, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236772, 236819, 236771, 596, 236772, 236755, 2063, 236772, 860, 1636, 236772, 4998, 127453, 7926, 6748, 3199, 611, 1161, 600, 236881, 564, 1202, 672, 44773, 94970, 531, 4866, 573, 496, 2563, 52724, 1900, 2148, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 62856, 1083, 623, 39460, 13060, 1229, 827, 623, 9707, 1083, 236743, 236832, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 84339, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 62856, 1083, 623, 29235, 3321, 1294, 10176, 827, 623, 9707, 1083, 236743, 236832, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 84339, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 62856, 1083, 623, 224079, 188831, 827, 623, 9707, 1083, 236743, 236828, 236778, 236761, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 84339, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 5930, 236779, 13308, 1083, 3714, 3250, 1083, 623, 201320, 20012, 8383, 129667, 753, 236743, 236810, 64585, 61242, 827, 623, 10618, 1083, 623, 100399, 833, 85614, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236778, 236828, 236819, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 5469, 573, 506, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 568, 2371, 1204, 236787, 603, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 1473, 108, 1018, 8534, 80007, 53121, 107, 236770, 236761, 5213, 39460, 13060, 1229, 1018, 568, 143311, 93475, 236768, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236832, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 58582, 6809, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 29235, 3321, 1294, 10176, 1018, 568, 42173, 236772, 51688, 59562, 236768, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236832, 236812, 236761, 236810, 236771, 568, 17043, 14584, 236768, 138, 107, 139, 236772, 5213, 51164, 53121, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 2301, 138, 107, 139, 236772, 5213, 58582, 6809, 53121, 5365, 236743, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236800, 236761, 5213, 224079, 188831, 1018, 568, 42173, 236772, 51688, 59562, 236768, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236828, 236778, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 58582, 6809, 53121, 5365, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236810, 568, 37568, 598, 33431, 236768, 138, 108, 1018, 211199, 53121, 138, 107, 8409, 18671, 3321, 1294, 10176, 5469, 506, 14723, 3385, 236764, 5213, 39460, 13060, 1229, 1018, 563, 506, 1186, 19278, 20220, 528, 672, 1694, 236764, 17096, 24227, 28100, 532, 21016, 573, 822, 9180, 1161, 236761, 669, 13946, 40243, 532, 528, 236772, 14973, 4981, 1386, 625, 506, 76302, 5313, 573, 25558, 8341, 236761, 1637, 60055, 563, 6749, 236764, 61165, 188831, 19916, 26424, 840, 657, 496, 3715, 3385, 236761, 138, 108, 38786, 611, 1133, 1601, 22516, 614, 1900, 653, 92578, 20925, 36605, 3342, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 9128, 9593, 13060, 1229, 563, 9995, 19278, 1271, 564, 1202, 672, 44773, 531, 1774, 1343, 6376, 2509, 236761, 3199, 611, 4071, 236772, 4256, 910, 36605, 4981, 1699, 506, 1638, 9447, 1204, 236881, 1637, 27662, 236764, 1531, 236858, 236751, 7162, 236761, 1637, 711, 236764, 2426, 768, 993, 659, 1032, 19278, 34616, 573, 672, 2028, 607, 2480, 21212, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 62856, 1083, 623, 39460, 13060, 1229, 827, 623, 34798, 1083, 1847, 236764, 623, 9707, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 46569, 236779, 8318, 1083, 236743, 236819, 236828, 1263, 3714, 62856, 1083, 623, 100399, 220881, 6654, 827, 623, 34798, 1083, 1847, 236764, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 46569, 236779, 8318, 1083, 236743, 236819, 236778, 1263, 3714, 62856, 1083, 623, 71653, 9435, 152272, 827, 623, 34798, 1083, 2416, 236764, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 13126, 1083, 236743, 236800, 236761, 236828, 236764, 623, 46569, 236779, 8318, 1083, 236743, 236828, 236810, 104960, 623, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 827, 623, 219389, 1083, 623, 39460, 236761, 854, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 28250, 573, 19278, 34616, 529, 506, 30409, 91802, 1255, 236743, 236825, 236771, 236771, 12142, 8383, 129667, 568, 2371, 1204, 236787, 603, 236771, 236771, 236917, 19018, 131192, 236825, 236788, 1473, 108, 1018, 143311, 107514, 13810, 8593, 53121, 107, 236770, 236761, 5213, 39460, 13060, 1229, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 101309, 47240, 53121, 236743, 236812, 236761, 236810, 240281, 568, 236819, 236828, 236908, 9697, 236768, 138, 107, 139, 236772, 5213, 39585, 18365, 53121, 113452, 128731, 138, 108, 236778, 236761, 5213, 100399, 220881, 6654, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236812, 236761, 236819, 236810, 568, 17043, 132589, 14584, 236768, 138, 107, 139, 236772, 5213, 51164, 53121, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 5213, 40090, 161465, 53121, 8438, 138, 107, 139, 236772, 5213, 101309, 47240, 53121, 236743, 236812, 236761, 236832, 240281, 568, 236819, 236778, 236908, 9697, 236768, 138, 107, 139, 236772, 5213, 39585, 18365, 53121, 113452, 128731, 138, 108, 1018, 91189, 59562, 568, 77499, 1473, 1018, 138, 107, 236772, 29125, 9435, 152272, 6131, 236778, 236778, 236761, 236810, 236771, 236768, 563, 5213, 2217, 19278, 1018, 532, 815, 3718, 24074, 568, 236800, 236761, 236828, 240281, 236764, 236743, 236828, 236810, 236908, 9697, 779, 3043, 625, 91685, 573, 9180, 1161, 236761, 108, 1018, 211199, 53121, 138, 107, 236772, 5213, 39460, 13060, 1229, 1018, 5469, 21016, 607, 13946, 12631, 840, 657, 496, 3715, 3385, 236761, 138, 107, 236772, 5213, 100399, 220881, 6654, 1018, 4728, 506, 5213, 117835, 19278, 3385, 1018, 6131, 236778, 236812, 236761, 236819, 236810, 236768, 607, 3188, 24074, 840, 5809, 2862, 568, 236800, 6630, 769, 138, 108, 38786, 611, 1133, 531, 7162, 607, 886, 529, 1239, 27662, 19278, 34616, 236764, 653, 1374, 564, 2426, 573, 4767, 4889, 568, 236744, 236761, 236759, 1126, 24227, 3755, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2958, 11213, 7760, 573, 13023, 15653, 6607, 532, 9226, 33862, 19898, 528, 32856, 236761, 28344, 611, 1171, 33205, 506, 6524, 3004, 10458, 699, 506, 1799, 3773, 11922, 7449, 27977, 9299, 531, 1601, 786, 8701, 7798, 12669, 236881, 564, 236789, 236757, 6412, 7467, 528, 10458, 14086, 9426, 236764, 10645, 72961, 236764, 532, 14822, 833, 21427, 236761, 9920, 692, 1586, 506, 1447, 10458, 236764, 564, 236789, 859, 1461, 531, 5957, 684, 32856, 236772, 5140, 7021, 532, 8430, 3530, 10308, 1003, 7224, 6607, 653, 3399, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 109278, 833, 21427, 827, 623, 547, 1083, 623, 14865, 236779, 57534, 827, 623, 7777, 1083, 623, 129489, 529, 15653, 236764, 9226, 19898, 236764, 532, 9578, 13390, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 107, 14937, 1201, 1083, 623, 39454, 827, 623, 547, 1083, 623, 52531, 827, 623, 7777, 1083, 623, 18626, 1003, 12524, 6607, 236764, 24027, 236764, 532, 13434, 18783, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236770, 236828, 236787, 236771, 236771, 236953, 25938, 107, 14937, 1201, 1083, 623, 14042, 72961, 827, 623, 547, 1083, 623, 9181, 72961, 827, 623, 7777, 1083, 623, 72553, 580, 38911, 9780, 236764, 38731, 236764, 532, 3399, 19898, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 25938, 107, 14937, 1201, 1083, 623, 3112, 6110, 827, 623, 547, 1083, 623, 3255, 236779, 36379, 827, 623, 7777, 1083, 623, 68734, 1883, 55470, 236764, 2263, 10034, 236764, 532, 10969, 2913, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 11327, 11213, 7760, 684, 1171, 21558, 7798, 10458, 532, 1299, 35129, 3004, 236761, 18186, 580, 506, 2487, 10458, 236764, 692, 236789, 859, 3213, 580, 236787, 108, 236770, 236761, 14822, 833, 21427, 568, 547, 236787, 15653, 236779, 57534, 236768, 107, 236778, 236761, 9426, 568, 547, 236787, 4993, 236768, 107, 236800, 236761, 10645, 72961, 568, 547, 236787, 111880, 236768, 108, 9675, 236764, 564, 6303, 506, 9299, 4038, 236789, 236745, 735, 496, 1982, 5957, 573, 32856, 236772, 5140, 7021, 236761, 3792, 236789, 236751, 1171, 33205, 4803, 3004, 699, 1239, 10458, 1699, 506, 623, 712, 236775, 3738, 5957, 236764, 1299, 692, 236789, 859, 17318, 506, 2536, 573, 32856, 236772, 15396, 42298, 236761, 21284, 611, 1133, 786, 531, 1502, 607, 506, 14822, 833, 21427, 3336, 1171, 236881, 106, 107, 105, 2364, 107, 10784, 236764, 1531, 236789, 236751, 1502, 607, 14822, 833, 21427, 236761, 91820, 506, 6524, 236743, 236810, 10308, 699, 600, 3336, 1699, 506, 623, 712, 236775, 3738, 5957, 236761, 4210, 35329, 506, 2536, 236764, 692, 740, 3477, 3137, 19276, 1131, 3530, 10308, 653, 38179, 531, 2264, 3336, 236761, 564, 236789, 236757, 6412, 7467, 528, 1027, 42298, 529, 13023, 15653, 11213, 236764, 3399, 24027, 236764, 653, 32856, 236772, 15396, 19898, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 17846, 1083, 623, 46456, 236743, 236810, 618, 810, 2430, 2864, 236764, 2506, 236743, 236778, 236771, 236775, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 19381, 236761, 669, 9299, 7087, 506, 4576, 7689, 531, 577, 496, 5065, 529, 236743, 236778, 236771, 568, 1437, 3678, 563, 236743, 236778, 236771, 769, 5612, 822, 15633, 4576, 529, 236743, 236810, 5889, 236789, 236745, 18944, 607, 506, 9299, 236789, 236751, 6035, 236764, 1093, 611, 1133, 786, 531, 236787, 108, 236770, 236761, 101685, 607, 506, 3678, 4576, 529, 236743, 236778, 236771, 10308, 236764, 653, 107, 236778, 236761, 6890, 496, 1607, 5065, 529, 236743, 236778, 236771, 568, 236744, 236761, 236759, 1126, 236743, 236812, 236771, 236768, 531, 5330, 692, 12203, 7271, 7798, 3004, 236881, 108, 6481, 786, 1281, 822, 24104, 532, 564, 236789, 859, 33205, 506, 14822, 833, 21427, 3336, 3004, 23577, 236761, 106, 107, 105, 2364, 107, 142480, 607, 506, 3678, 4576, 529, 236743, 236778, 236771, 10308, 573, 506, 14822, 833, 21427, 3336, 236761, 4210, 35329, 1239, 236764, 692, 740, 6054, 768, 692, 1202, 531, 59638, 1023, 4313, 653, 3553, 506, 5542, 236761, 22282, 77372, 10308, 600, 4928, 30154, 1133, 623, 116994, 2098, 623, 1568, 1639, 2098, 623, 37939, 5699, 2098, 653, 623, 151053, 236775, 528, 910, 45774, 653, 92681, 236761, 3792, 236789, 236751, 1460, 1144, 3952, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 115047, 14822, 139945, 80265, 9852, 70409, 827, 623, 6011, 1083, 623, 4199, 3773, 11922, 753, 9852, 24027, 17381, 531, 13023, 15653, 9780, 573, 3399, 5699, 528, 32856, 532, 6998, 10498, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 116994, 236772, 1568, 1639, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 151053, 236789, 236751, 32462, 28917, 37747, 4987, 68542, 54139, 827, 623, 6011, 1083, 623, 4199, 3773, 11922, 753, 609, 236778, 236792, 528, 861, 24027, 28606, 531, 22435, 13023, 28968, 532, 1894, 3399, 236772, 991, 15653, 6607, 10498, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 680, 18607, 5537, 236772, 162606, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 46640, 40396, 807, 38562, 528, 16647, 236772, 71145, 5711, 827, 623, 6011, 1083, 623, 4199, 3773, 11922, 753, 39259, 58980, 7535, 531, 1868, 236772, 93913, 8991, 607, 14549, 43285, 6607, 10498, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 37939, 236772, 195656, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236812, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236800, 1346, 7798, 10308, 699, 506, 14822, 833, 21427, 3336, 600, 8913, 607, 822, 3213, 580, 13023, 15653, 11213, 532, 32856, 19898, 236787, 108, 236770, 236761, 5213, 115047, 14822, 139945, 80265, 9852, 70409, 1018, 138, 107, 139, 236769, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236768, 138, 107, 139, 24355, 236787, 9852, 24027, 17381, 531, 13023, 15653, 9780, 236764, 2440, 32856, 5699, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 116994, 236772, 1568, 1639, 236768, 108, 236778, 236761, 5213, 151053, 236789, 236751, 32462, 28917, 37747, 4987, 68542, 54139, 1018, 138, 107, 139, 236769, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236768, 138, 107, 139, 24355, 236787, 609, 236778, 236792, 528, 861, 24027, 573, 39983, 13023, 28968, 532, 3399, 236772, 991, 15653, 6607, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 680, 18607, 5537, 236772, 162606, 236768, 108, 236800, 236761, 5213, 46640, 40396, 807, 38562, 528, 16647, 236772, 71145, 5711, 1018, 138, 107, 139, 236769, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236768, 138, 107, 139, 24355, 236787, 39259, 58980, 64461, 531, 1868, 236772, 93913, 8991, 607, 14549, 43285, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 37939, 236772, 195656, 236768, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6890, 506, 2165, 3955, 236779, 3723, 236929, 5904, 531, 8430, 2587, 4889, 699, 1027, 529, 1239, 3530, 10308, 236881, 138, 107, 236778, 236761, 12808, 506, 10645, 72961, 653, 9426, 10458, 2148, 573, 4767, 7224, 236772, 10619, 12606, 236881, 138, 107, 236800, 236761, 46532, 506, 2536, 5542, 531, 3540, 919, 3435, 12853, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2958, 11213, 7760, 573, 13023, 15653, 6607, 532, 9226, 33862, 19898, 528, 32856, 236761, 28344, 611, 1171, 33205, 506, 6524, 3004, 10458, 699, 506, 1799, 3773, 11922, 7449, 27977, 9299, 531, 1601, 786, 8701, 7798, 12669, 236881, 564, 236789, 236757, 6412, 7467, 528, 10458, 14086, 9426, 236764, 10645, 72961, 236764, 532, 14822, 833, 21427, 236761, 9920, 692, 1586, 506, 1447, 10458, 236764, 564, 236789, 859, 1461, 531, 5957, 684, 32856, 236772, 5140, 7021, 532, 8430, 3530, 10308, 1003, 7224, 6607, 653, 3399, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 109278, 833, 21427, 827, 623, 547, 1083, 623, 14865, 236779, 57534, 827, 623, 7777, 1083, 623, 129489, 529, 15653, 236764, 9226, 19898, 236764, 532, 9578, 13390, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 107, 14937, 1201, 1083, 623, 39454, 827, 623, 547, 1083, 623, 52531, 827, 623, 7777, 1083, 623, 18626, 1003, 12524, 6607, 236764, 24027, 236764, 532, 13434, 18783, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236770, 236828, 236787, 236771, 236771, 236953, 25938, 107, 14937, 1201, 1083, 623, 14042, 72961, 827, 623, 547, 1083, 623, 9181, 72961, 827, 623, 7777, 1083, 623, 72553, 580, 38911, 9780, 236764, 38731, 236764, 532, 3399, 19898, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 25938, 107, 14937, 1201, 1083, 623, 3112, 6110, 827, 623, 547, 1083, 623, 3255, 236779, 36379, 827, 623, 7777, 1083, 623, 68734, 1883, 55470, 236764, 2263, 10034, 236764, 532, 10969, 2913, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 11327, 11213, 7760, 684, 1171, 21558, 7798, 10458, 532, 1299, 35129, 3004, 236761, 18186, 580, 506, 2487, 10458, 236764, 692, 236789, 859, 3213, 580, 236787, 108, 236770, 236761, 14822, 833, 21427, 568, 547, 236787, 15653, 236779, 57534, 236768, 107, 236778, 236761, 9426, 568, 547, 236787, 4993, 236768, 107, 236800, 236761, 10645, 72961, 568, 547, 236787, 111880, 236768, 108, 9675, 236764, 564, 6303, 506, 9299, 4038, 236789, 236745, 735, 496, 1982, 5957, 573, 32856, 236772, 5140, 7021, 236761, 3792, 236789, 236751, 1171, 33205, 4803, 3004, 699, 1239, 10458, 1699, 506, 623, 712, 236775, 3738, 5957, 236764, 1299, 692, 236789, 859, 17318, 506, 2536, 573, 32856, 236772, 15396, 42298, 236761, 21284, 611, 1133, 786, 531, 1502, 607, 506, 14822, 833, 21427, 3336, 1171, 236881, 106, 107, 105, 2364, 107, 10784, 236764, 1531, 236789, 236751, 1502, 607, 14822, 833, 21427, 236761, 91820, 506, 6524, 236743, 236810, 10308, 699, 600, 3336, 1699, 506, 623, 712, 236775, 3738, 5957, 236761, 4210, 35329, 506, 2536, 236764, 692, 740, 3477, 3137, 19276, 1131, 3530, 10308, 653, 38179, 531, 2264, 3336, 236761, 564, 236789, 236757, 6412, 7467, 528, 1027, 42298, 529, 13023, 15653, 11213, 236764, 3399, 24027, 236764, 653, 32856, 236772, 15396, 19898, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 17846, 1083, 623, 46456, 236743, 236810, 618, 810, 2430, 2864, 236764, 2506, 236743, 236778, 236771, 236775, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 19381, 236761, 669, 9299, 7087, 506, 4576, 7689, 531, 577, 496, 5065, 529, 236743, 236778, 236771, 568, 1437, 3678, 563, 236743, 236778, 236771, 769, 5612, 822, 15633, 4576, 529, 236743, 236810, 5889, 236789, 236745, 18944, 607, 506, 9299, 236789, 236751, 6035, 236764, 1093, 611, 1133, 786, 531, 236787, 108, 236770, 236761, 101685, 607, 506, 3678, 4576, 529, 236743, 236778, 236771, 10308, 236764, 653, 107, 236778, 236761, 6890, 496, 1607, 5065, 529, 236743, 236778, 236771, 568, 236744, 236761, 236759, 1126, 236743, 236812, 236771, 236768, 531, 5330, 692, 12203, 7271, 7798, 3004, 236881, 108, 6481, 786, 1281, 822, 24104, 532, 564, 236789, 859, 33205, 506, 14822, 833, 21427, 3336, 3004, 23577, 236761, 106, 107, 105, 2364, 107, 142480, 607, 506, 3678, 4576, 529, 236743, 236778, 236771, 10308, 573, 506, 14822, 833, 21427, 3336, 236761, 4210, 35329, 1239, 236764, 692, 740, 6054, 768, 692, 1202, 531, 59638, 1023, 4313, 653, 3553, 506, 5542, 236761, 22282, 77372, 10308, 600, 4928, 30154, 1133, 623, 116994, 2098, 623, 1568, 1639, 2098, 623, 37939, 5699, 2098, 653, 623, 151053, 236775, 528, 910, 45774, 653, 92681, 236761, 3792, 236789, 236751, 1460, 1144, 3952, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 115047, 14822, 139945, 80265, 9852, 70409, 827, 623, 6011, 1083, 623, 4199, 3773, 11922, 753, 9852, 24027, 17381, 531, 13023, 15653, 9780, 573, 3399, 5699, 528, 32856, 532, 6998, 10498, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 116994, 236772, 1568, 1639, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 151053, 236789, 236751, 32462, 28917, 37747, 4987, 68542, 54139, 827, 623, 6011, 1083, 623, 4199, 3773, 11922, 753, 609, 236778, 236792, 528, 861, 24027, 28606, 531, 22435, 13023, 28968, 532, 1894, 3399, 236772, 991, 15653, 6607, 10498, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 680, 18607, 5537, 236772, 162606, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 46640, 40396, 807, 38562, 528, 16647, 236772, 71145, 5711, 827, 623, 6011, 1083, 623, 4199, 3773, 11922, 753, 39259, 58980, 7535, 531, 1868, 236772, 93913, 8991, 607, 14549, 43285, 6607, 10498, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 37939, 236772, 195656, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236812, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236800, 1346, 7798, 10308, 699, 506, 14822, 833, 21427, 3336, 600, 8913, 607, 822, 3213, 580, 13023, 15653, 11213, 532, 32856, 19898, 236787, 108, 236770, 236761, 5213, 115047, 14822, 139945, 80265, 9852, 70409, 1018, 138, 107, 139, 236769, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236768, 138, 107, 139, 24355, 236787, 9852, 24027, 17381, 531, 13023, 15653, 9780, 236764, 2440, 32856, 5699, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 116994, 236772, 1568, 1639, 236768, 108, 236778, 236761, 5213, 151053, 236789, 236751, 32462, 28917, 37747, 4987, 68542, 54139, 1018, 138, 107, 139, 236769, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236768, 138, 107, 139, 24355, 236787, 609, 236778, 236792, 528, 861, 24027, 573, 39983, 13023, 28968, 532, 3399, 236772, 991, 15653, 6607, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 680, 18607, 5537, 236772, 162606, 236768, 108, 236800, 236761, 5213, 46640, 40396, 807, 38562, 528, 16647, 236772, 71145, 5711, 1018, 138, 107, 139, 236769, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236768, 138, 107, 139, 24355, 236787, 39259, 58980, 64461, 531, 1868, 236772, 93913, 8991, 607, 14549, 43285, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 14865, 236772, 57534, 236786, 37939, 236772, 195656, 236768, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6890, 506, 2165, 3955, 236779, 3723, 236929, 5904, 531, 8430, 2587, 4889, 699, 1027, 529, 1239, 3530, 10308, 236881, 138, 107, 236778, 236761, 12808, 506, 10645, 72961, 653, 9426, 10458, 2148, 573, 4767, 7224, 236772, 10619, 12606, 236881, 138, 107, 236800, 236761, 46532, 506, 2536, 5542, 531, 3540, 919, 3435, 12853, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6250, 531, 2731, 1070, 43118, 17205, 573, 50415, 236761, 28344, 611, 1385, 872, 506, 4889, 573, 496, 11001, 27868, 1699, 506, 33205, 236779, 81706, 236779, 13308, 5904, 236881, 669, 5853, 1374, 577, 623, 236774, 2996, 236770, 236771, 236770, 236775, 532, 564, 1751, 611, 236789, 859, 1202, 614, 9299, 2307, 753, 1161, 623, 40495, 3230, 236770, 236778, 236800, 236775, 573, 1492, 236761, 564, 1461, 531, 1386, 2889, 506, 35439, 659, 7438, 9668, 573, 1041, 3272, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 81706, 236779, 547, 1083, 623, 236774, 2996, 236770, 236771, 236770, 827, 623, 3250, 1083, 623, 205648, 558, 2996, 144681, 82068, 827, 623, 7777, 1083, 623, 18397, 558, 2996, 43118, 27868, 19541, 580, 2005, 14222, 7275, 236764, 48600, 12453, 3739, 236764, 532, 72468, 7444, 2256, 573, 50415, 10498, 623, 19001, 236779, 38466, 1083, 236743, 236812, 236810, 236764, 623, 69518, 236779, 5909, 1083, 623, 27426, 1250, 827, 623, 15979, 236779, 89149, 1083, 11058, 236774, 2996, 180115, 568, 2714, 236786, 12622, 22730, 623, 236774, 1228, 9967, 32087, 568, 236778, 236908, 541, 6886, 774, 22730, 623, 106919, 522, 4314, 568, 11694, 498, 22730, 623, 62288, 3230, 30783, 568, 9913, 236772, 14123, 3999, 22730, 623, 164886, 28764, 827, 623, 84157, 34008, 7319, 14255, 623, 9340, 236779, 2003, 236779, 9340, 236779, 96654, 1083, 11058, 3974, 872, 43118, 5464, 607, 101871, 4314, 19594, 657, 236743, 236770, 236810, 236772, 236778, 236771, 24328, 236814, 2727, 3136, 827, 623, 34650, 236743, 236800, 236786, 236800, 236778, 8455, 71090, 20368, 532, 1076, 6568, 236772, 725, 531, 236743, 236770, 236786, 236828, 21537, 623, 9223, 157281, 657, 236743, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 607, 236743, 236770, 236786, 236828, 8455, 11302, 573, 5428, 147405, 827, 623, 166062, 236743, 236770, 236771, 236772, 236770, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 14222, 7275, 607, 9958, 4301, 4249, 827, 623, 3218, 48600, 12453, 657, 236743, 236770, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 531, 63700, 72468, 7444, 827, 623, 82804, 58914, 2962, 2256, 607, 6850, 532, 72146, 8403, 14255, 623, 89653, 236779, 23184, 1083, 623, 103802, 2005, 35149, 236764, 8785, 19296, 236772, 124001, 15337, 236764, 532, 19703, 5842, 573, 7112, 1680, 1161, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 573, 822, 11001, 558, 2996, 43118, 16183, 2731, 236787, 108, 1018, 9231, 644, 17310, 53121, 71044, 558, 2996, 144681, 82068, 138, 107, 1018, 21160, 53121, 236743, 236812, 236810, 4310, 138, 107, 1018, 98641, 53121, 160433, 138, 108, 1018, 3503, 54198, 82581, 53121, 107, 236772, 5213, 105111, 33197, 53121, 138, 107, 138, 240721, 558, 2996, 180115, 568, 2714, 236786, 12622, 236768, 138, 107, 138, 240721, 236743, 236778, 236908, 541, 6886, 774, 71090, 32087, 138, 107, 138, 240721, 101871, 71323, 4314, 10884, 138, 107, 138, 240721, 16661, 13290, 568, 9913, 236772, 14123, 3999, 30783, 236764, 13069, 28764, 236764, 19296, 6733, 236768, 138, 107, 138, 240721, 20012, 34008, 7319, 573, 5428, 108, 236772, 5213, 58972, 39432, 53121, 138, 107, 138, 248850, 16995, 2727, 10884, 568, 236770, 236810, 236772, 236778, 236771, 24328, 236814, 236768, 138, 107, 138, 248850, 167536, 12652, 568, 236800, 236786, 236800, 236778, 236775, 607, 236743, 236770, 236786, 236828, 236775, 6568, 236772, 725, 236768, 138, 107, 138, 247211, 160814, 7275, 9626, 568, 236770, 236771, 236772, 236770, 236810, 80024, 138, 107, 138, 251646, 233652, 12453, 3739, 9939, 138, 107, 138, 253367, 28338, 12652, 568, 236819, 236771, 237366, 7275, 607, 236743, 236770, 236786, 236828, 236775, 11302, 236768, 138, 107, 138, 250861, 238178, 219930, 2962, 2256, 568, 79828, 236786, 197462, 9935, 236768, 108, 1018, 61569, 177007, 53121, 138, 107, 195096, 193508, 6035, 138, 107, 195096, 19296, 6733, 28463, 138, 107, 195096, 29187, 17611, 60218, 108, 818, 27868, 4728, 496, 13611, 13916, 573, 50415, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 59336, 56656, 75255, 573, 3530, 12889, 28893, 236881, 138, 107, 236778, 236761, 24439, 1239, 11808, 1131, 496, 5117, 227215, 6518, 236881, 138, 107, 236800, 236761, 53399, 5842, 21186, 7021, 236881, 106, 107, 105, 2364, 107, 818, 227215, 6518, 1093, 577, 4011, 573, 1041, 3272, 236761, 28344, 611, 992, 3600, 1070, 56656, 75255, 531, 58051, 506, 8330, 6130, 236881, 1701, 5705, 236764, 1308, 89220, 506, 35439, 236764, 7463, 2613, 531, 5428, 506, 14222, 7275, 532, 48600, 12453, 3739, 21112, 236761, 7062, 236764, 532, 768, 611, 735, 1027, 15136, 573, 17075, 5842, 25684, 528, 506, 8036, 14133, 236764, 600, 1093, 577, 496, 2563, 1601, 573, 1041, 3272, 580, 496, 7715, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 496, 31044, 227215, 532, 34037, 27868, 15136, 236761, 1701, 5842, 25684, 236764, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 8036, 14133, 236772, 15396, 1262, 1343, 1041, 1873, 6436, 236764, 840, 564, 740, 2847, 2870, 14984, 532, 3600, 2263, 5405, 531, 2426, 236761, 108, 1018, 112779, 2954, 62097, 15429, 236787, 97144, 74977, 1565, 558, 2996, 649, 29674, 2850, 191338, 14745, 568, 236774, 2996, 236770, 236771, 236770, 62902, 138, 107, 245305, 5213, 86865, 53121, 11930, 6079, 14222, 2256, 532, 48600, 12453, 3739, 580, 496, 8103, 34008, 7319, 138, 107, 248850, 5213, 105111, 82811, 53121, 138, 107, 236772, 558, 2996, 180115, 568, 2714, 236786, 12622, 236768, 138, 107, 236772, 236743, 236800, 236786, 236800, 236778, 236775, 541, 6886, 774, 71090, 20368, 138, 107, 236772, 101871, 4314, 19594, 568, 236770, 236810, 236772, 236778, 236771, 24328, 236814, 236768, 138, 107, 236772, 14297, 236772, 14123, 3999, 30783, 833, 13069, 28764, 138, 107, 236772, 20012, 5428, 16683, 568, 240960, 236775, 7497, 236768, 138, 108, 1018, 37354, 236772, 19470, 236772, 37354, 1018, 138, 107, 236770, 236761, 236743, 248850, 37827, 236787, 64063, 4314, 2727, 236764, 4476, 71090, 20368, 138, 107, 236778, 236761, 128728, 230681, 236787, 6890, 1494, 236772, 27521, 1502, 531, 2619, 72468, 7444, 138, 107, 236800, 236761, 236743, 247211, 160814, 236787, 75133, 236743, 236770, 236771, 236772, 236770, 236810, 237366, 7275, 607, 16932, 4301, 4249, 138, 107, 236812, 236761, 236743, 251646, 13083, 236787, 4140, 48600, 657, 236743, 236770, 236810, 237366, 7275, 531, 63700, 7444, 138, 107, 236810, 236761, 236743, 250861, 238178, 25761, 236787, 236743, 236825, 236775, 6850, 58914, 236764, 1299, 72146, 3759, 138, 107, 236825, 236761, 236743, 478, 397, 405, 427, 25750, 236787, 36851, 72468, 531, 5427, 14769, 138, 108, 1018, 179652, 53272, 1018, 138, 107, 236772, 113452, 88088, 110920, 236786, 18500, 13792, 138, 107, 236772, 113452, 19296, 6733, 236787, 20864, 784, 5716, 138, 107, 236772, 113452, 193508, 236787, 6890, 188675, 138382, 138, 108, 7243, 108, 1018, 38211, 164423, 9986, 133237, 2182, 153650, 1018, 138, 107, 236770, 236761, 5213, 141210, 59303, 73884, 568, 236774, 2996, 236772, 236778, 236771, 236770, 62902, 138, 107, 139, 236772, 48573, 236787, 2375, 48066, 14222, 7275, 2256, 138, 107, 139, 236772, 37827, 236787, 50854, 8103, 7319, 607, 7275, 8214, 4463, 138, 107, 139, 236772, 38215, 236787, 236743, 236770, 236771, 25850, 236743, 236770, 236810, 25850, 532, 236743, 236778, 236771, 237366, 7275, 147405, 580, 1638, 7319, 138, 108, 236778, 236761, 5213, 217384, 13083, 56756, 115389, 568, 236774, 2996, 236772, 236778, 236771, 236778, 62902, 138, 107, 139, 236772, 48573, 236787, 6521, 12453, 4387, 25725, 138, 107, 139, 236772, 37827, 236787, 213033, 72468, 7444, 580, 12344, 7319, 138, 107, 139, 236772, 38215, 236787, 236743, 236810, 1607, 12453, 14608, 568, 236770, 236771, 176224, 236800, 236771, 80024, 607, 51422, 20312, 138, 108, 236800, 236761, 5213, 112865, 39432, 32115, 568, 236774, 2996, 236772, 236778, 236771, 236800, 62902, 138, 107, 139, 236772, 48573, 236787, 173574, 14222, 236786, 200627, 26937, 138, 107, 139, 236772, 37827, 236787, 782, 236772, 43850, 1034, 72468, 7600, 568, 236825, 236771, 237366, 5012, 7275, 236768, 138, 107, 139, 236772, 38215, 236787, 1191, 1478, 58914, 607, 12725, 48600, 34292, 138, 108, 7243, 108, 1018, 113543, 4012, 7193, 105630, 8419, 92653, 85604, 182111, 1018, 138, 107, 8409, 564, 740, 236789, 236745, 5467, 2802, 2263, 27313, 34438, 1343, 1041, 1873, 6436, 236764, 1590, 659, 5225, 11298, 573, 8159, 17075, 13290, 236787, 138, 108, 236770, 236761, 5213, 13149, 206413, 236751, 53121, 138, 107, 139, 236772, 7179, 51514, 236786, 23243, 10503, 218708, 573, 1456, 17277, 236786, 194318, 1364, 4738, 14425, 138, 107, 139, 236772, 8221, 92830, 3927, 236787, 623, 27930, 14133, 43118, 5842, 236775, 138, 108, 236778, 236761, 5213, 71653, 43499, 616, 53121, 138, 107, 139, 236772, 38406, 101554, 568, 23243, 153406, 4563, 236768, 573, 7234, 236772, 5909, 88794, 236786, 59676, 138, 107, 139, 236772, 15632, 13474, 900, 29187, 568, 42750, 1476, 236768, 573, 6079, 558, 2996, 196712, 138, 108, 236800, 236761, 5213, 23244, 1363, 182395, 53121, 138, 107, 139, 236772, 26123, 16455, 568, 23243, 10503, 236768, 753, 29020, 1003, 5117, 36498, 138, 107, 139, 236772, 5661, 18500, 568, 43819, 8036, 14133, 11024, 236768, 753, 37058, 4314, 19594, 20310, 138, 108, 236812, 236761, 5213, 46640, 18238, 53121, 138, 107, 139, 236772, 971, 123913, 7430, 568, 42750, 1476, 236768, 43118, 1948, 753, 75848, 33000, 138, 107, 139, 236772, 51514, 18671, 22527, 753, 74967, 5842, 2802, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 8600, 496, 16553, 236772, 18865, 3567, 529, 506, 227215, 236881, 138, 107, 236778, 236761, 6521, 496, 5609, 16074, 10988, 573, 1239, 75255, 236881, 138, 107, 236800, 236761, 59336, 3489, 156251, 607, 2263, 35312, 3835, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 974, 506, 4889, 573, 506, 160814, 59303, 73884, 568, 236774, 2996, 236772, 236778, 236771, 236770, 236768, 2148, 236761, 6890, 506, 1638, 9299, 2307, 834, 692, 740, 2016, 600, 16183, 2731, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 81706, 236779, 547, 1083, 623, 236774, 2996, 236772, 236778, 236771, 236770, 827, 623, 1201, 1083, 623, 141210, 59303, 73884, 827, 623, 7777, 1083, 623, 102711, 558, 2996, 43118, 27868, 573, 89220, 12567, 14222, 14608, 532, 8733, 4387, 8403, 10498, 623, 69518, 236779, 5909, 1083, 623, 146405, 827, 623, 15979, 236779, 89149, 1083, 11058, 236774, 2996, 180115, 827, 623, 62288, 3230, 30783, 827, 623, 201320, 8103, 5428, 60166, 14255, 623, 25438, 1083, 11058, 9223, 157281, 657, 236743, 236770, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 827, 623, 166062, 236743, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 14222, 7275, 6658, 531, 981, 3761, 827, 623, 28923, 48600, 8733, 657, 9958, 236743, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 827, 623, 52804, 72468, 7444, 8304, 1699, 30783, 3034, 14255, 623, 89653, 236779, 23184, 1083, 623, 103802, 2005, 35149, 532, 8785, 2587, 20111, 13290, 1913, 5428, 14845, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 573, 822, 160814, 59303, 73884, 16183, 236787, 108, 1018, 236774, 2996, 236772, 236778, 236771, 236770, 236787, 95599, 2293, 7790, 110770, 36259, 158439, 1018, 138, 107, 248850, 5213, 98641, 16575, 53121, 62629, 138, 107, 247211, 5213, 32663, 30235, 53121, 56756, 14222, 7275, 2256, 568, 236832, 236810, 80024, 833, 9958, 48600, 8733, 4387, 568, 236778, 236771, 80024, 138, 108, 1018, 113543, 4012, 7193, 135777, 1018, 138, 107, 236772, 558, 2996, 180115, 568, 1309, 4077, 2028, 236768, 138, 107, 236772, 14297, 236772, 14123, 3999, 43118, 30783, 138, 107, 236772, 76247, 8103, 5428, 60166, 568, 238612, 236775, 1123, 236743, 236812, 236775, 1123, 236743, 236825, 236775, 10325, 236768, 138, 108, 1018, 37354, 236772, 19470, 236772, 37354, 186916, 2059, 1018, 138, 107, 236770, 236761, 5213, 9004, 15899, 37827, 53121, 138, 107, 139, 236772, 6890, 29929, 43118, 2939, 497, 653, 103600, 11802, 531, 7562, 36636, 657, 236743, 236770, 236810, 237366, 138, 107, 139, 236772, 20840, 3761, 607, 19860, 8103, 16078, 531, 6349, 55067, 138, 108, 236778, 236761, 5213, 141210, 178852, 53121, 138, 107, 139, 236772, 75133, 236743, 236832, 236810, 237366, 7275, 1534, 14222, 2742, 532, 981, 3761, 138, 107, 139, 236772, 17608, 236743, 248978, 236775, 20368, 6568, 236772, 725, 573, 12567, 27820, 138, 108, 236800, 236761, 5213, 217384, 27977, 82068, 53121, 138, 107, 139, 236772, 31574, 236743, 236770, 236786, 236770, 236825, 236775, 17360, 236800, 236771, 236828, 236798, 8733, 657, 236743, 236778, 236771, 237366, 7275, 531, 72468, 7444, 138, 107, 139, 236772, 6890, 3546, 15599, 618, 38179, 1523, 573, 16932, 8733, 8341, 138, 108, 236812, 236761, 5213, 20216, 51474, 32973, 53121, 138, 107, 139, 236772, 70313, 72468, 7444, 6230, 1343, 30783, 3034, 568, 16223, 577, 16971, 236768, 138, 107, 139, 236772, 35593, 14222, 7275, 768, 58914, 6775, 88576, 21496, 236786, 18121, 138, 108, 1018, 6664, 116281, 1018, 138, 107, 10896, 496, 8521, 7275, 20138, 531, 16807, 40101, 10634, 1680, 6250, 1546, 72468, 236761, 1174, 27868, 4146, 1791, 1056, 47270, 528, 236743, 236770, 236771, 236772, 20353, 10317, 20312, 607, 7275, 17507, 1534, 16972, 236761, 108, 7243, 108, 1018, 221626, 2059, 43104, 1018, 138, 107, 2094, 18276, 27868, 28402, 5467, 580, 558, 2996, 236770, 236771, 236770, 52669, 236761, 564, 5840, 236787, 138, 107, 236770, 236761, 38882, 607, 236743, 236800, 5428, 14845, 10317, 22525, 580, 14222, 7275, 138, 107, 236778, 236761, 44712, 48600, 8733, 1308, 23673, 9958, 236743, 236832, 236810, 237366, 40101, 138, 107, 236800, 236761, 126300, 7016, 1133, 35666, 14581, 528, 3209, 14845, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 8600, 496, 9960, 9535, 6807, 558, 2996, 236770, 236771, 236770, 7728, 558, 2996, 236778, 236771, 236770, 12889, 2913, 236881, 138, 107, 236778, 236761, 6521, 496, 7426, 40101, 8214, 573, 506, 7275, 6035, 236881, 138, 107, 236800, 236761, 59336, 17075, 24277, 573, 19860, 8103, 5428, 60166, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6250, 531, 2731, 1070, 43118, 17205, 573, 50415, 236761, 28344, 611, 1385, 872, 506, 4889, 573, 496, 11001, 27868, 1699, 506, 33205, 236779, 81706, 236779, 13308, 5904, 236881, 669, 5853, 1374, 577, 623, 236774, 2996, 236770, 236771, 236770, 236775, 532, 564, 1751, 611, 236789, 859, 1202, 614, 9299, 2307, 753, 1161, 623, 40495, 3230, 236770, 236778, 236800, 236775, 573, 1492, 236761, 564, 1461, 531, 1386, 2889, 506, 35439, 659, 7438, 9668, 573, 1041, 3272, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 81706, 236779, 547, 1083, 623, 236774, 2996, 236770, 236771, 236770, 827, 623, 3250, 1083, 623, 205648, 558, 2996, 144681, 82068, 827, 623, 7777, 1083, 623, 18397, 558, 2996, 43118, 27868, 19541, 580, 2005, 14222, 7275, 236764, 48600, 12453, 3739, 236764, 532, 72468, 7444, 2256, 573, 50415, 10498, 623, 19001, 236779, 38466, 1083, 236743, 236812, 236810, 236764, 623, 69518, 236779, 5909, 1083, 623, 27426, 1250, 827, 623, 15979, 236779, 89149, 1083, 11058, 236774, 2996, 180115, 568, 2714, 236786, 12622, 22730, 623, 236774, 1228, 9967, 32087, 568, 236778, 236908, 541, 6886, 774, 22730, 623, 106919, 522, 4314, 568, 11694, 498, 22730, 623, 62288, 3230, 30783, 568, 9913, 236772, 14123, 3999, 22730, 623, 164886, 28764, 827, 623, 84157, 34008, 7319, 14255, 623, 9340, 236779, 2003, 236779, 9340, 236779, 96654, 1083, 11058, 3974, 872, 43118, 5464, 607, 101871, 4314, 19594, 657, 236743, 236770, 236810, 236772, 236778, 236771, 24328, 236814, 2727, 3136, 827, 623, 34650, 236743, 236800, 236786, 236800, 236778, 8455, 71090, 20368, 532, 1076, 6568, 236772, 725, 531, 236743, 236770, 236786, 236828, 21537, 623, 9223, 157281, 657, 236743, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 607, 236743, 236770, 236786, 236828, 8455, 11302, 573, 5428, 147405, 827, 623, 166062, 236743, 236770, 236771, 236772, 236770, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 14222, 7275, 607, 9958, 4301, 4249, 827, 623, 3218, 48600, 12453, 657, 236743, 236770, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 531, 63700, 72468, 7444, 827, 623, 82804, 58914, 2962, 2256, 607, 6850, 532, 72146, 8403, 14255, 623, 89653, 236779, 23184, 1083, 623, 103802, 2005, 35149, 236764, 8785, 19296, 236772, 124001, 15337, 236764, 532, 19703, 5842, 573, 7112, 1680, 1161, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 573, 822, 11001, 558, 2996, 43118, 16183, 2731, 236787, 108, 1018, 9231, 644, 17310, 53121, 71044, 558, 2996, 144681, 82068, 138, 107, 1018, 21160, 53121, 236743, 236812, 236810, 4310, 138, 107, 1018, 98641, 53121, 160433, 138, 108, 1018, 3503, 54198, 82581, 53121, 107, 236772, 5213, 105111, 33197, 53121, 138, 107, 138, 240721, 558, 2996, 180115, 568, 2714, 236786, 12622, 236768, 138, 107, 138, 240721, 236743, 236778, 236908, 541, 6886, 774, 71090, 32087, 138, 107, 138, 240721, 101871, 71323, 4314, 10884, 138, 107, 138, 240721, 16661, 13290, 568, 9913, 236772, 14123, 3999, 30783, 236764, 13069, 28764, 236764, 19296, 6733, 236768, 138, 107, 138, 240721, 20012, 34008, 7319, 573, 5428, 108, 236772, 5213, 58972, 39432, 53121, 138, 107, 138, 248850, 16995, 2727, 10884, 568, 236770, 236810, 236772, 236778, 236771, 24328, 236814, 236768, 138, 107, 138, 248850, 167536, 12652, 568, 236800, 236786, 236800, 236778, 236775, 607, 236743, 236770, 236786, 236828, 236775, 6568, 236772, 725, 236768, 138, 107, 138, 247211, 160814, 7275, 9626, 568, 236770, 236771, 236772, 236770, 236810, 80024, 138, 107, 138, 251646, 233652, 12453, 3739, 9939, 138, 107, 138, 253367, 28338, 12652, 568, 236819, 236771, 237366, 7275, 607, 236743, 236770, 236786, 236828, 236775, 11302, 236768, 138, 107, 138, 250861, 238178, 219930, 2962, 2256, 568, 79828, 236786, 197462, 9935, 236768, 108, 1018, 61569, 177007, 53121, 138, 107, 195096, 193508, 6035, 138, 107, 195096, 19296, 6733, 28463, 138, 107, 195096, 29187, 17611, 60218, 108, 818, 27868, 4728, 496, 13611, 13916, 573, 50415, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 59336, 56656, 75255, 573, 3530, 12889, 28893, 236881, 138, 107, 236778, 236761, 24439, 1239, 11808, 1131, 496, 5117, 227215, 6518, 236881, 138, 107, 236800, 236761, 53399, 5842, 21186, 7021, 236881, 106, 107, 105, 2364, 107, 818, 227215, 6518, 1093, 577, 4011, 573, 1041, 3272, 236761, 28344, 611, 992, 3600, 1070, 56656, 75255, 531, 58051, 506, 8330, 6130, 236881, 1701, 5705, 236764, 1308, 89220, 506, 35439, 236764, 7463, 2613, 531, 5428, 506, 14222, 7275, 532, 48600, 12453, 3739, 21112, 236761, 7062, 236764, 532, 768, 611, 735, 1027, 15136, 573, 17075, 5842, 25684, 528, 506, 8036, 14133, 236764, 600, 1093, 577, 496, 2563, 1601, 573, 1041, 3272, 580, 496, 7715, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 496, 31044, 227215, 532, 34037, 27868, 15136, 236761, 1701, 5842, 25684, 236764, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 8036, 14133, 236772, 15396, 1262, 1343, 1041, 1873, 6436, 236764, 840, 564, 740, 2847, 2870, 14984, 532, 3600, 2263, 5405, 531, 2426, 236761, 108, 1018, 112779, 2954, 62097, 15429, 236787, 97144, 74977, 1565, 558, 2996, 649, 29674, 2850, 191338, 14745, 568, 236774, 2996, 236770, 236771, 236770, 62902, 138, 107, 245305, 5213, 86865, 53121, 11930, 6079, 14222, 2256, 532, 48600, 12453, 3739, 580, 496, 8103, 34008, 7319, 138, 107, 248850, 5213, 105111, 82811, 53121, 138, 107, 236772, 558, 2996, 180115, 568, 2714, 236786, 12622, 236768, 138, 107, 236772, 236743, 236800, 236786, 236800, 236778, 236775, 541, 6886, 774, 71090, 20368, 138, 107, 236772, 101871, 4314, 19594, 568, 236770, 236810, 236772, 236778, 236771, 24328, 236814, 236768, 138, 107, 236772, 14297, 236772, 14123, 3999, 30783, 833, 13069, 28764, 138, 107, 236772, 20012, 5428, 16683, 568, 240960, 236775, 7497, 236768, 138, 108, 1018, 37354, 236772, 19470, 236772, 37354, 1018, 138, 107, 236770, 236761, 236743, 248850, 37827, 236787, 64063, 4314, 2727, 236764, 4476, 71090, 20368, 138, 107, 236778, 236761, 128728, 230681, 236787, 6890, 1494, 236772, 27521, 1502, 531, 2619, 72468, 7444, 138, 107, 236800, 236761, 236743, 247211, 160814, 236787, 75133, 236743, 236770, 236771, 236772, 236770, 236810, 237366, 7275, 607, 16932, 4301, 4249, 138, 107, 236812, 236761, 236743, 251646, 13083, 236787, 4140, 48600, 657, 236743, 236770, 236810, 237366, 7275, 531, 63700, 7444, 138, 107, 236810, 236761, 236743, 250861, 238178, 25761, 236787, 236743, 236825, 236775, 6850, 58914, 236764, 1299, 72146, 3759, 138, 107, 236825, 236761, 236743, 478, 397, 405, 427, 25750, 236787, 36851, 72468, 531, 5427, 14769, 138, 108, 1018, 179652, 53272, 1018, 138, 107, 236772, 113452, 88088, 110920, 236786, 18500, 13792, 138, 107, 236772, 113452, 19296, 6733, 236787, 20864, 784, 5716, 138, 107, 236772, 113452, 193508, 236787, 6890, 188675, 138382, 138, 108, 7243, 108, 1018, 38211, 164423, 9986, 133237, 2182, 153650, 1018, 138, 107, 236770, 236761, 5213, 141210, 59303, 73884, 568, 236774, 2996, 236772, 236778, 236771, 236770, 62902, 138, 107, 139, 236772, 48573, 236787, 2375, 48066, 14222, 7275, 2256, 138, 107, 139, 236772, 37827, 236787, 50854, 8103, 7319, 607, 7275, 8214, 4463, 138, 107, 139, 236772, 38215, 236787, 236743, 236770, 236771, 25850, 236743, 236770, 236810, 25850, 532, 236743, 236778, 236771, 237366, 7275, 147405, 580, 1638, 7319, 138, 108, 236778, 236761, 5213, 217384, 13083, 56756, 115389, 568, 236774, 2996, 236772, 236778, 236771, 236778, 62902, 138, 107, 139, 236772, 48573, 236787, 6521, 12453, 4387, 25725, 138, 107, 139, 236772, 37827, 236787, 213033, 72468, 7444, 580, 12344, 7319, 138, 107, 139, 236772, 38215, 236787, 236743, 236810, 1607, 12453, 14608, 568, 236770, 236771, 176224, 236800, 236771, 80024, 607, 51422, 20312, 138, 108, 236800, 236761, 5213, 112865, 39432, 32115, 568, 236774, 2996, 236772, 236778, 236771, 236800, 62902, 138, 107, 139, 236772, 48573, 236787, 173574, 14222, 236786, 200627, 26937, 138, 107, 139, 236772, 37827, 236787, 782, 236772, 43850, 1034, 72468, 7600, 568, 236825, 236771, 237366, 5012, 7275, 236768, 138, 107, 139, 236772, 38215, 236787, 1191, 1478, 58914, 607, 12725, 48600, 34292, 138, 108, 7243, 108, 1018, 113543, 4012, 7193, 105630, 8419, 92653, 85604, 182111, 1018, 138, 107, 8409, 564, 740, 236789, 236745, 5467, 2802, 2263, 27313, 34438, 1343, 1041, 1873, 6436, 236764, 1590, 659, 5225, 11298, 573, 8159, 17075, 13290, 236787, 138, 108, 236770, 236761, 5213, 13149, 206413, 236751, 53121, 138, 107, 139, 236772, 7179, 51514, 236786, 23243, 10503, 218708, 573, 1456, 17277, 236786, 194318, 1364, 4738, 14425, 138, 107, 139, 236772, 8221, 92830, 3927, 236787, 623, 27930, 14133, 43118, 5842, 236775, 138, 108, 236778, 236761, 5213, 71653, 43499, 616, 53121, 138, 107, 139, 236772, 38406, 101554, 568, 23243, 153406, 4563, 236768, 573, 7234, 236772, 5909, 88794, 236786, 59676, 138, 107, 139, 236772, 15632, 13474, 900, 29187, 568, 42750, 1476, 236768, 573, 6079, 558, 2996, 196712, 138, 108, 236800, 236761, 5213, 23244, 1363, 182395, 53121, 138, 107, 139, 236772, 26123, 16455, 568, 23243, 10503, 236768, 753, 29020, 1003, 5117, 36498, 138, 107, 139, 236772, 5661, 18500, 568, 43819, 8036, 14133, 11024, 236768, 753, 37058, 4314, 19594, 20310, 138, 108, 236812, 236761, 5213, 46640, 18238, 53121, 138, 107, 139, 236772, 971, 123913, 7430, 568, 42750, 1476, 236768, 43118, 1948, 753, 75848, 33000, 138, 107, 139, 236772, 51514, 18671, 22527, 753, 74967, 5842, 2802, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 8600, 496, 16553, 236772, 18865, 3567, 529, 506, 227215, 236881, 138, 107, 236778, 236761, 6521, 496, 5609, 16074, 10988, 573, 1239, 75255, 236881, 138, 107, 236800, 236761, 59336, 3489, 156251, 607, 2263, 35312, 3835, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 974, 506, 4889, 573, 506, 160814, 59303, 73884, 568, 236774, 2996, 236772, 236778, 236771, 236770, 236768, 2148, 236761, 6890, 506, 1638, 9299, 2307, 834, 692, 740, 2016, 600, 16183, 2731, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 81706, 236779, 547, 1083, 623, 236774, 2996, 236772, 236778, 236771, 236770, 827, 623, 1201, 1083, 623, 141210, 59303, 73884, 827, 623, 7777, 1083, 623, 102711, 558, 2996, 43118, 27868, 573, 89220, 12567, 14222, 14608, 532, 8733, 4387, 8403, 10498, 623, 69518, 236779, 5909, 1083, 623, 146405, 827, 623, 15979, 236779, 89149, 1083, 11058, 236774, 2996, 180115, 827, 623, 62288, 3230, 30783, 827, 623, 201320, 8103, 5428, 60166, 14255, 623, 25438, 1083, 11058, 9223, 157281, 657, 236743, 236770, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 827, 623, 166062, 236743, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 14222, 7275, 6658, 531, 981, 3761, 827, 623, 28923, 48600, 8733, 657, 9958, 236743, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 7275, 827, 623, 52804, 72468, 7444, 8304, 1699, 30783, 3034, 14255, 623, 89653, 236779, 23184, 1083, 623, 103802, 2005, 35149, 532, 8785, 2587, 20111, 13290, 1913, 5428, 14845, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 573, 822, 160814, 59303, 73884, 16183, 236787, 108, 1018, 236774, 2996, 236772, 236778, 236771, 236770, 236787, 95599, 2293, 7790, 110770, 36259, 158439, 1018, 138, 107, 248850, 5213, 98641, 16575, 53121, 62629, 138, 107, 247211, 5213, 32663, 30235, 53121, 56756, 14222, 7275, 2256, 568, 236832, 236810, 80024, 833, 9958, 48600, 8733, 4387, 568, 236778, 236771, 80024, 138, 108, 1018, 113543, 4012, 7193, 135777, 1018, 138, 107, 236772, 558, 2996, 180115, 568, 1309, 4077, 2028, 236768, 138, 107, 236772, 14297, 236772, 14123, 3999, 43118, 30783, 138, 107, 236772, 76247, 8103, 5428, 60166, 568, 238612, 236775, 1123, 236743, 236812, 236775, 1123, 236743, 236825, 236775, 10325, 236768, 138, 108, 1018, 37354, 236772, 19470, 236772, 37354, 186916, 2059, 1018, 138, 107, 236770, 236761, 5213, 9004, 15899, 37827, 53121, 138, 107, 139, 236772, 6890, 29929, 43118, 2939, 497, 653, 103600, 11802, 531, 7562, 36636, 657, 236743, 236770, 236810, 237366, 138, 107, 139, 236772, 20840, 3761, 607, 19860, 8103, 16078, 531, 6349, 55067, 138, 108, 236778, 236761, 5213, 141210, 178852, 53121, 138, 107, 139, 236772, 75133, 236743, 236832, 236810, 237366, 7275, 1534, 14222, 2742, 532, 981, 3761, 138, 107, 139, 236772, 17608, 236743, 248978, 236775, 20368, 6568, 236772, 725, 573, 12567, 27820, 138, 108, 236800, 236761, 5213, 217384, 27977, 82068, 53121, 138, 107, 139, 236772, 31574, 236743, 236770, 236786, 236770, 236825, 236775, 17360, 236800, 236771, 236828, 236798, 8733, 657, 236743, 236778, 236771, 237366, 7275, 531, 72468, 7444, 138, 107, 139, 236772, 6890, 3546, 15599, 618, 38179, 1523, 573, 16932, 8733, 8341, 138, 108, 236812, 236761, 5213, 20216, 51474, 32973, 53121, 138, 107, 139, 236772, 70313, 72468, 7444, 6230, 1343, 30783, 3034, 568, 16223, 577, 16971, 236768, 138, 107, 139, 236772, 35593, 14222, 7275, 768, 58914, 6775, 88576, 21496, 236786, 18121, 138, 108, 1018, 6664, 116281, 1018, 138, 107, 10896, 496, 8521, 7275, 20138, 531, 16807, 40101, 10634, 1680, 6250, 1546, 72468, 236761, 1174, 27868, 4146, 1791, 1056, 47270, 528, 236743, 236770, 236771, 236772, 20353, 10317, 20312, 607, 7275, 17507, 1534, 16972, 236761, 108, 7243, 108, 1018, 221626, 2059, 43104, 1018, 138, 107, 2094, 18276, 27868, 28402, 5467, 580, 558, 2996, 236770, 236771, 236770, 52669, 236761, 564, 5840, 236787, 138, 107, 236770, 236761, 38882, 607, 236743, 236800, 5428, 14845, 10317, 22525, 580, 14222, 7275, 138, 107, 236778, 236761, 44712, 48600, 8733, 1308, 23673, 9958, 236743, 236832, 236810, 237366, 40101, 138, 107, 236800, 236761, 126300, 7016, 1133, 35666, 14581, 528, 3209, 14845, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 8600, 496, 9960, 9535, 6807, 558, 2996, 236770, 236771, 236770, 7728, 558, 2996, 236778, 236771, 236770, 12889, 2913, 236881, 138, 107, 236778, 236761, 6521, 496, 7426, 40101, 8214, 573, 506, 7275, 6035, 236881, 138, 107, 236800, 236761, 59336, 17075, 24277, 573, 19860, 8103, 5428, 60166, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 506, 2471, 5143, 607, 506, 56588, 30086, 9654, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 2471, 573, 506, 56588, 30086, 9654, 236764, 692, 1202, 506, 3530, 8105, 5853, 5143, 607, 625, 236761, 669, 2165, 157775, 236779, 3304, 236929, 5904, 7087, 496, 40155, 8105, 5853, 236764, 840, 506, 3847, 6436, 1537, 236789, 236745, 3204, 496, 1982, 1595, 531, 1385, 872, 672, 5853, 684, 1463, 568, 236744, 236761, 236759, 1126, 623, 181509, 30086, 9654, 4248, 236743, 108, 2859, 611, 1281, 506, 4338, 8105, 5853, 236764, 5091, 2847, 625, 236764, 532, 564, 236858, 859, 33205, 506, 2471, 1699, 506, 2165, 157775, 236779, 3304, 236929, 5904, 236761, 27587, 236764, 506, 6330, 6436, 3914, 14245, 672, 2864, 5467, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 506, 2471, 5143, 607, 506, 56588, 30086, 9654, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 2471, 573, 506, 56588, 30086, 9654, 236764, 692, 1202, 506, 3530, 8105, 5853, 5143, 607, 625, 236761, 669, 2165, 157775, 236779, 3304, 236929, 5904, 7087, 496, 40155, 8105, 5853, 236764, 840, 506, 3847, 6436, 1537, 236789, 236745, 3204, 496, 1982, 1595, 531, 1385, 872, 672, 5853, 684, 1463, 568, 236744, 236761, 236759, 1126, 623, 181509, 30086, 9654, 4248, 236743, 108, 2859, 611, 1281, 506, 4338, 8105, 5853, 236764, 5091, 2847, 625, 236764, 532, 564, 236858, 859, 33205, 506, 2471, 1699, 506, 2165, 157775, 236779, 3304, 236929, 5904, 236761, 27587, 236764, 506, 6330, 6436, 3914, 14245, 672, 2864, 5467, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3285, 21597, 39635, 4134, 5311, 3628, 1116, 4666, 131451, 236761, 7196, 163457, 47685, 1336, 17527, 75906, 1499, 5311, 32577, 48957, 664, 40766, 569, 19840, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 3970, 1083, 623, 20074, 827, 623, 56488, 236779, 1201, 1083, 623, 216260, 32026, 26135, 585, 827, 623, 41626, 1083, 623, 139571, 569, 587, 236785, 236756, 236771, 236771, 236744, 236819, 27997, 827, 623, 13647, 1083, 623, 6700, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 1162, 58401, 827, 623, 2204, 13647, 1083, 623, 236792, 236785, 236756, 236771, 236771, 236744, 236819, 27997, 827, 623, 38428, 1083, 236743, 236770, 236778, 236828, 236819, 236800, 236778, 236832, 236810, 236800, 236764, 623, 7376, 1083, 236743, 236770, 236819, 236825, 236812, 236800, 236832, 236810, 236764, 623, 70496, 1083, 11058, 507, 14255, 623, 222534, 1083, 3714, 20074, 236797, 1083, 3714, 1201, 1083, 623, 114346, 142999, 827, 623, 22037, 1083, 229814, 5237, 623, 16213, 1083, 623, 2574, 1411, 4506, 41560, 236761, 854, 236786, 1516, 236786, 126203, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 178632, 44767, 17527, 75906, 1499, 5311, 32577, 568, 236755, 73008, 45796, 1473, 108, 1018, 42371, 30640, 53121, 30470, 32026, 26135, 585, 138, 107, 1018, 64753, 53121, 58226, 569, 32577, 138, 107, 1018, 5024, 1517, 53121, 52408, 1162, 58401, 138, 107, 1018, 5096, 2291, 1517, 53121, 32577, 138, 107, 1018, 236791, 35387, 2103, 53121, 236743, 236770, 236778, 236828, 236764, 236819, 236800, 236778, 236764, 236832, 236810, 236800, 78090, 138, 107, 1018, 238291, 5389, 47445, 53121, 236743, 236770, 236764, 236819, 236825, 236812, 236764, 236800, 236832, 236810, 7251, 238131, 138, 107, 1018, 110310, 6645, 36002, 53121, 137257, 568, 507, 236768, 138, 107, 1018, 10505, 12064, 53121, 134806, 142999, 568, 20074, 236797, 236768, 753, 555, 9433, 49595, 236787, 229814, 138, 107, 1018, 50916, 1741, 53121, 178270, 719, 40657, 36709, 236764, 38035, 570, 65096, 591, 723, 6177, 5025, 5657, 696, 862, 21639, 568, 2763, 65033, 696, 870, 9491, 93113, 5457, 2574, 1411, 4506, 41560, 236761, 854, 236786, 1516, 236786, 126203, 236761, 5067, 1223, 108, 237665, 5548, 114709, 188871, 696, 44181, 67019, 9226, 236764, 71184, 512, 2676, 94213, 89014, 569, 32577, 236881, 103453, 106, 107, 105, 2364, 107, 5191, 90747, 31988, 25589, 4134, 5311, 1450, 140533, 138698, 236761, 7196, 25998, 36777, 227509, 1336, 171357, 117422, 569, 28188, 42087, 3105, 862, 6050, 236764, 1450, 11583, 3051, 512, 1450, 82142, 610, 40976, 236881, 14402, 763, 17966, 19688, 786, 53291, 6525, 569, 24606, 236764, 8195, 786, 114709, 42789, 55518, 569, 6467, 39080, 591, 1450, 97505, 135183, 6564, 236761, 106, 107, 105, 4368, 107, 236798, 1767, 111416, 236764, 951, 37964, 41870, 496, 61407, 929, 34505, 501, 171357, 117422, 512, 17527, 14976, 194978, 75906, 1499, 236761, 14380, 24615, 236764, 55606, 61209, 654, 1985, 114847, 2870, 569, 18530, 28188, 42087, 138698, 570, 3200, 97505, 151776, 1642, 1533, 9888, 654, 696, 4379, 109503, 236787, 108, 1018, 236770, 236761, 62000, 227023, 3173, 568, 1121, 1517, 148470, 1473, 1018, 107, 236772, 25132, 172630, 54583, 236787, 236743, 107, 138, 236772, 971, 2538, 614, 17796, 570, 2982, 21800, 568, 16847, 3225, 569, 75407, 236768, 107, 138, 236772, 8460, 606, 570, 104602, 542, 606, 107, 138, 236772, 224971, 36995, 570, 150398, 107, 138, 236772, 7201, 635, 20245, 568, 4881, 4634, 236764, 631, 2423, 236764, 732, 22664, 236768, 107, 138, 236772, 49430, 39130, 568, 177913, 35569, 3928, 236768, 107, 138, 236772, 3134, 2320, 569, 111215, 512, 22898, 107, 138, 236772, 6319, 570, 69682, 569, 204309, 108, 1018, 236778, 236761, 21263, 3051, 708, 1124, 21482, 7465, 53121, 107, 236772, 131641, 236787, 236743, 107, 138, 236772, 4969, 1630, 569, 204309, 4962, 903, 126333, 28794, 568, 137086, 189939, 236768, 107, 138, 236772, 37971, 24518, 569, 234495, 512, 138219, 107, 138, 236772, 3134, 2320, 569, 13411, 6189, 107, 236772, 630, 713, 8043, 175613, 236787, 236743, 107, 138, 236772, 48370, 569, 137974, 32123, 3173, 107, 138, 236772, 158046, 236748, 160724, 107, 138, 236772, 8460, 606, 36709, 107, 138, 236772, 31101, 10162, 568, 838, 198085, 236768, 108, 1018, 236800, 236761, 558, 41345, 610, 58038, 53121, 107, 236772, 2481, 67441, 236787, 236743, 107, 138, 236772, 562, 6411, 1841, 236764, 677, 2538, 568, 5025, 1196, 13703, 236764, 6001, 2373, 779, 13218, 104244, 107, 138, 236772, 18048, 10560, 568, 16847, 759, 99022, 623, 81102, 2661, 1373, 107, 138, 236772, 224971, 36995, 570, 135616, 568, 73262, 4423, 237168, 10233, 236768, 107, 138, 236772, 65283, 5553, 569, 204309, 99268, 108, 237665, 5548, 114709, 929, 926, 777, 13440, 1985, 126583, 75906, 1499, 569, 117919, 569, 18530, 28188, 42087, 10164, 3628, 48091, 2870, 236764, 4343, 24498, 61407, 118814, 236881, 103453, 106, 107, 105, 2364, 107, 4724, 19134, 2137, 223579, 236764, 8195, 786, 90747, 31988, 55350, 4379, 49490, 2870, 569, 1985, 126583, 569, 62000, 227023, 3173, 135183, 2486, 236761, 14402, 15810, 11903, 10367, 677, 2538, 614, 17796, 570, 2982, 21800, 4462, 16088, 236764, 570, 46807, 775, 39080, 30900, 591, 95414, 20245, 3105, 740, 4634, 570, 631, 2423, 236761, 7196, 25998, 236750, 8815, 1533, 9888, 1336, 30027, 496, 30027, 1642, 55019, 19041, 75407, 116069, 929, 3628, 763, 17966, 19688, 110928, 236881, 62586, 236764, 119561, 179946, 121711, 17527, 5311, 1450, 181908, 3051, 138698, 569, 32577, 67220, 591, 759, 54311, 48957, 37640, 76354, 236761, 106, 107, 105, 4368, 107, 1018, 5766, 1766, 2870, 569, 62000, 227023, 3173, 135183, 2486, 568, 10162, 1499, 696, 48091, 2870, 1473, 1018, 138, 108, 1018, 21115, 172630, 53121, 138, 107, 236772, 236743, 236812, 677, 2538, 614, 17796, 570, 236743, 236778, 677, 2538, 2982, 21800, 568, 5322, 164485, 236764, 174701, 236804, 3044, 696, 22898, 122414, 236768, 138, 107, 236772, 236743, 236778, 203294, 231447, 236764, 236743, 236770, 104602, 542, 606, 138, 107, 236772, 236743, 236770, 101124, 36995, 236764, 236743, 236800, 131771, 569, 150398, 138, 107, 236772, 236743, 236770, 152104, 569, 740, 4634, 236764, 236743, 236770, 172323, 553, 2665, 569, 631, 2423, 236764, 236743, 236770, 732, 22664, 569, 170569, 138, 107, 236772, 236743, 236778, 236771, 236771, 236759, 569, 14403, 39130, 568, 236832, 236771, 236908, 110933, 236768, 138, 107, 236772, 236743, 236778, 494, 71226, 569, 154305, 569, 111215, 512, 22898, 138, 107, 236772, 6319, 610, 51259, 138, 107, 236772, 39192, 785, 569, 204309, 512, 12806, 24518, 1642, 4572, 33680, 138, 108, 1018, 46053, 585, 53121, 138, 107, 236770, 236761, 5213, 236774, 731, 1438, 53121, 2358, 723, 631, 514, 512, 137800, 3383, 119129, 236764, 494, 19454, 153027, 1450, 677, 2538, 236764, 759, 740, 4634, 570, 1450, 9085, 585, 569, 631, 2423, 236761, 34970, 102270, 1450, 21013, 3705, 151776, 236761, 138, 107, 236778, 236761, 5213, 234544, 6189, 569, 759, 3225, 53121, 9078, 39997, 1450, 677, 2538, 174701, 236804, 3044, 591, 1450, 203294, 236764, 862, 104602, 542, 606, 236764, 759, 101124, 36995, 570, 862, 150398, 236761, 565, 17966, 1642, 1985, 117230, 69369, 236761, 138, 107, 236800, 236761, 5213, 5191, 236802, 41825, 569, 95414, 20245, 53121, 2358, 1985, 72066, 236764, 1685, 196870, 759, 91241, 569, 677, 2538, 591, 69682, 569, 204309, 236761, 3431, 155687, 2137, 95414, 20245, 8627, 8513, 570, 56899, 496, 74637, 140688, 236761, 138, 107, 236812, 236761, 5213, 175266, 2103, 1162, 14403, 53121, 34937, 27046, 862, 14403, 696, 862, 154305, 122414, 570, 83650, 6470, 9124, 17817, 496, 17817, 496, 759, 91241, 236764, 8012, 19134, 128485, 236761, 138, 107, 236810, 236761, 5213, 234544, 6189, 186225, 53121, 148767, 69451, 583, 496, 74637, 9611, 29734, 12149, 236743, 236800, 236771, 236772, 236812, 236810, 29591, 236764, 36388, 2308, 591, 2095, 236761, 2876, 6050, 19824, 1115, 130960, 4343, 30915, 9478, 236761, 138, 107, 236825, 236761, 5213, 10773, 9151, 53121, 782, 19986, 5311, 111215, 13411, 2713, 568, 58603, 1022, 574, 19708, 853, 47425, 813, 1499, 236768, 570, 80856, 591, 123455, 38035, 570, 160704, 1421, 11964, 236761, 138, 108, 244549, 5213, 149109, 5400, 53121, 7072, 862, 75407, 1115, 68061, 131091, 236764, 172494, 1985, 219749, 3284, 569, 100695, 512, 4134, 154305, 1642, 84636, 516, 236761, 138, 108, 7243, 138, 108, 1018, 97922, 181908, 3051, 138698, 569, 32577, 53121, 138, 107, 236798, 1767, 111416, 236764, 2137, 61407, 40408, 951, 78451, 44995, 1642, 32097, 17527, 5311, 181908, 3051, 512, 53769, 116561, 236761, 14380, 24615, 236764, 10164, 3628, 48091, 2870, 236764, 55606, 50173, 17816, 236787, 138, 107, 236772, 5213, 236796, 2516, 569, 1450, 12402, 44779, 568, 236770, 236772, 236778, 569, 55110, 1473, 1018, 32903, 1438, 591, 23090, 619, 929, 78451, 623, 3842, 569, 125160, 236775, 570, 28188, 42087, 3105, 6050, 236761, 138, 107, 236772, 5213, 12383, 11597, 1162, 6464, 39861, 568, 236806, 143204, 1473, 1018, 2358, 32887, 236764, 637, 8780, 168063, 496, 759, 4743, 501, 7297, 33610, 1162, 204309, 236764, 3225, 569, 759, 56899, 131451, 236761, 138, 107, 236772, 5213, 135673, 1162, 62000, 568, 236791, 687, 56841, 1473, 1018, 2358, 52741, 236764, 636, 98725, 96452, 171069, 569, 6050, 236764, 86262, 862, 117017, 623, 36317, 32123, 3173, 3056, 138, 108, 237665, 5548, 114709, 929, 926, 777, 13440, 4134, 63472, 5311, 117919, 569, 18530, 181908, 3051, 512, 929, 29322, 13240, 16536, 28188, 42087, 83603, 6564, 1642, 82214, 591, 97505, 569, 38048, 236881, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3285, 21597, 39635, 4134, 5311, 3628, 1116, 4666, 131451, 236761, 7196, 163457, 47685, 1336, 17527, 75906, 1499, 5311, 32577, 48957, 664, 40766, 569, 19840, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 3970, 1083, 623, 20074, 827, 623, 56488, 236779, 1201, 1083, 623, 216260, 32026, 26135, 585, 827, 623, 41626, 1083, 623, 139571, 569, 587, 236785, 236756, 236771, 236771, 236744, 236819, 27997, 827, 623, 13647, 1083, 623, 6700, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 1162, 58401, 827, 623, 2204, 13647, 1083, 623, 236792, 236785, 236756, 236771, 236771, 236744, 236819, 27997, 827, 623, 38428, 1083, 236743, 236770, 236778, 236828, 236819, 236800, 236778, 236832, 236810, 236800, 236764, 623, 7376, 1083, 236743, 236770, 236819, 236825, 236812, 236800, 236832, 236810, 236764, 623, 70496, 1083, 11058, 507, 14255, 623, 222534, 1083, 3714, 20074, 236797, 1083, 3714, 1201, 1083, 623, 114346, 142999, 827, 623, 22037, 1083, 229814, 5237, 623, 16213, 1083, 623, 2574, 1411, 4506, 41560, 236761, 854, 236786, 1516, 236786, 126203, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 178632, 44767, 17527, 75906, 1499, 5311, 32577, 568, 236755, 73008, 45796, 1473, 108, 1018, 42371, 30640, 53121, 30470, 32026, 26135, 585, 138, 107, 1018, 64753, 53121, 58226, 569, 32577, 138, 107, 1018, 5024, 1517, 53121, 52408, 1162, 58401, 138, 107, 1018, 5096, 2291, 1517, 53121, 32577, 138, 107, 1018, 236791, 35387, 2103, 53121, 236743, 236770, 236778, 236828, 236764, 236819, 236800, 236778, 236764, 236832, 236810, 236800, 78090, 138, 107, 1018, 238291, 5389, 47445, 53121, 236743, 236770, 236764, 236819, 236825, 236812, 236764, 236800, 236832, 236810, 7251, 238131, 138, 107, 1018, 110310, 6645, 36002, 53121, 137257, 568, 507, 236768, 138, 107, 1018, 10505, 12064, 53121, 134806, 142999, 568, 20074, 236797, 236768, 753, 555, 9433, 49595, 236787, 229814, 138, 107, 1018, 50916, 1741, 53121, 178270, 719, 40657, 36709, 236764, 38035, 570, 65096, 591, 723, 6177, 5025, 5657, 696, 862, 21639, 568, 2763, 65033, 696, 870, 9491, 93113, 5457, 2574, 1411, 4506, 41560, 236761, 854, 236786, 1516, 236786, 126203, 236761, 5067, 1223, 108, 237665, 5548, 114709, 188871, 696, 44181, 67019, 9226, 236764, 71184, 512, 2676, 94213, 89014, 569, 32577, 236881, 103453, 106, 107, 105, 2364, 107, 5191, 90747, 31988, 25589, 4134, 5311, 1450, 140533, 138698, 236761, 7196, 25998, 36777, 227509, 1336, 171357, 117422, 569, 28188, 42087, 3105, 862, 6050, 236764, 1450, 11583, 3051, 512, 1450, 82142, 610, 40976, 236881, 14402, 763, 17966, 19688, 786, 53291, 6525, 569, 24606, 236764, 8195, 786, 114709, 42789, 55518, 569, 6467, 39080, 591, 1450, 97505, 135183, 6564, 236761, 106, 107, 105, 4368, 107, 236798, 1767, 111416, 236764, 951, 37964, 41870, 496, 61407, 929, 34505, 501, 171357, 117422, 512, 17527, 14976, 194978, 75906, 1499, 236761, 14380, 24615, 236764, 55606, 61209, 654, 1985, 114847, 2870, 569, 18530, 28188, 42087, 138698, 570, 3200, 97505, 151776, 1642, 1533, 9888, 654, 696, 4379, 109503, 236787, 108, 1018, 236770, 236761, 62000, 227023, 3173, 568, 1121, 1517, 148470, 1473, 1018, 107, 236772, 25132, 172630, 54583, 236787, 236743, 107, 138, 236772, 971, 2538, 614, 17796, 570, 2982, 21800, 568, 16847, 3225, 569, 75407, 236768, 107, 138, 236772, 8460, 606, 570, 104602, 542, 606, 107, 138, 236772, 224971, 36995, 570, 150398, 107, 138, 236772, 7201, 635, 20245, 568, 4881, 4634, 236764, 631, 2423, 236764, 732, 22664, 236768, 107, 138, 236772, 49430, 39130, 568, 177913, 35569, 3928, 236768, 107, 138, 236772, 3134, 2320, 569, 111215, 512, 22898, 107, 138, 236772, 6319, 570, 69682, 569, 204309, 108, 1018, 236778, 236761, 21263, 3051, 708, 1124, 21482, 7465, 53121, 107, 236772, 131641, 236787, 236743, 107, 138, 236772, 4969, 1630, 569, 204309, 4962, 903, 126333, 28794, 568, 137086, 189939, 236768, 107, 138, 236772, 37971, 24518, 569, 234495, 512, 138219, 107, 138, 236772, 3134, 2320, 569, 13411, 6189, 107, 236772, 630, 713, 8043, 175613, 236787, 236743, 107, 138, 236772, 48370, 569, 137974, 32123, 3173, 107, 138, 236772, 158046, 236748, 160724, 107, 138, 236772, 8460, 606, 36709, 107, 138, 236772, 31101, 10162, 568, 838, 198085, 236768, 108, 1018, 236800, 236761, 558, 41345, 610, 58038, 53121, 107, 236772, 2481, 67441, 236787, 236743, 107, 138, 236772, 562, 6411, 1841, 236764, 677, 2538, 568, 5025, 1196, 13703, 236764, 6001, 2373, 779, 13218, 104244, 107, 138, 236772, 18048, 10560, 568, 16847, 759, 99022, 623, 81102, 2661, 1373, 107, 138, 236772, 224971, 36995, 570, 135616, 568, 73262, 4423, 237168, 10233, 236768, 107, 138, 236772, 65283, 5553, 569, 204309, 99268, 108, 237665, 5548, 114709, 929, 926, 777, 13440, 1985, 126583, 75906, 1499, 569, 117919, 569, 18530, 28188, 42087, 10164, 3628, 48091, 2870, 236764, 4343, 24498, 61407, 118814, 236881, 103453, 106, 107, 105, 2364, 107, 4724, 19134, 2137, 223579, 236764, 8195, 786, 90747, 31988, 55350, 4379, 49490, 2870, 569, 1985, 126583, 569, 62000, 227023, 3173, 135183, 2486, 236761, 14402, 15810, 11903, 10367, 677, 2538, 614, 17796, 570, 2982, 21800, 4462, 16088, 236764, 570, 46807, 775, 39080, 30900, 591, 95414, 20245, 3105, 740, 4634, 570, 631, 2423, 236761, 7196, 25998, 236750, 8815, 1533, 9888, 1336, 30027, 496, 30027, 1642, 55019, 19041, 75407, 116069, 929, 3628, 763, 17966, 19688, 110928, 236881, 62586, 236764, 119561, 179946, 121711, 17527, 5311, 1450, 181908, 3051, 138698, 569, 32577, 67220, 591, 759, 54311, 48957, 37640, 76354, 236761, 106, 107, 105, 4368, 107, 1018, 5766, 1766, 2870, 569, 62000, 227023, 3173, 135183, 2486, 568, 10162, 1499, 696, 48091, 2870, 1473, 1018, 138, 108, 1018, 21115, 172630, 53121, 138, 107, 236772, 236743, 236812, 677, 2538, 614, 17796, 570, 236743, 236778, 677, 2538, 2982, 21800, 568, 5322, 164485, 236764, 174701, 236804, 3044, 696, 22898, 122414, 236768, 138, 107, 236772, 236743, 236778, 203294, 231447, 236764, 236743, 236770, 104602, 542, 606, 138, 107, 236772, 236743, 236770, 101124, 36995, 236764, 236743, 236800, 131771, 569, 150398, 138, 107, 236772, 236743, 236770, 152104, 569, 740, 4634, 236764, 236743, 236770, 172323, 553, 2665, 569, 631, 2423, 236764, 236743, 236770, 732, 22664, 569, 170569, 138, 107, 236772, 236743, 236778, 236771, 236771, 236759, 569, 14403, 39130, 568, 236832, 236771, 236908, 110933, 236768, 138, 107, 236772, 236743, 236778, 494, 71226, 569, 154305, 569, 111215, 512, 22898, 138, 107, 236772, 6319, 610, 51259, 138, 107, 236772, 39192, 785, 569, 204309, 512, 12806, 24518, 1642, 4572, 33680, 138, 108, 1018, 46053, 585, 53121, 138, 107, 236770, 236761, 5213, 236774, 731, 1438, 53121, 2358, 723, 631, 514, 512, 137800, 3383, 119129, 236764, 494, 19454, 153027, 1450, 677, 2538, 236764, 759, 740, 4634, 570, 1450, 9085, 585, 569, 631, 2423, 236761, 34970, 102270, 1450, 21013, 3705, 151776, 236761, 138, 107, 236778, 236761, 5213, 234544, 6189, 569, 759, 3225, 53121, 9078, 39997, 1450, 677, 2538, 174701, 236804, 3044, 591, 1450, 203294, 236764, 862, 104602, 542, 606, 236764, 759, 101124, 36995, 570, 862, 150398, 236761, 565, 17966, 1642, 1985, 117230, 69369, 236761, 138, 107, 236800, 236761, 5213, 5191, 236802, 41825, 569, 95414, 20245, 53121, 2358, 1985, 72066, 236764, 1685, 196870, 759, 91241, 569, 677, 2538, 591, 69682, 569, 204309, 236761, 3431, 155687, 2137, 95414, 20245, 8627, 8513, 570, 56899, 496, 74637, 140688, 236761, 138, 107, 236812, 236761, 5213, 175266, 2103, 1162, 14403, 53121, 34937, 27046, 862, 14403, 696, 862, 154305, 122414, 570, 83650, 6470, 9124, 17817, 496, 17817, 496, 759, 91241, 236764, 8012, 19134, 128485, 236761, 138, 107, 236810, 236761, 5213, 234544, 6189, 186225, 53121, 148767, 69451, 583, 496, 74637, 9611, 29734, 12149, 236743, 236800, 236771, 236772, 236812, 236810, 29591, 236764, 36388, 2308, 591, 2095, 236761, 2876, 6050, 19824, 1115, 130960, 4343, 30915, 9478, 236761, 138, 107, 236825, 236761, 5213, 10773, 9151, 53121, 782, 19986, 5311, 111215, 13411, 2713, 568, 58603, 1022, 574, 19708, 853, 47425, 813, 1499, 236768, 570, 80856, 591, 123455, 38035, 570, 160704, 1421, 11964, 236761, 138, 108, 244549, 5213, 149109, 5400, 53121, 7072, 862, 75407, 1115, 68061, 131091, 236764, 172494, 1985, 219749, 3284, 569, 100695, 512, 4134, 154305, 1642, 84636, 516, 236761, 138, 108, 7243, 138, 108, 1018, 97922, 181908, 3051, 138698, 569, 32577, 53121, 138, 107, 236798, 1767, 111416, 236764, 2137, 61407, 40408, 951, 78451, 44995, 1642, 32097, 17527, 5311, 181908, 3051, 512, 53769, 116561, 236761, 14380, 24615, 236764, 10164, 3628, 48091, 2870, 236764, 55606, 50173, 17816, 236787, 138, 107, 236772, 5213, 236796, 2516, 569, 1450, 12402, 44779, 568, 236770, 236772, 236778, 569, 55110, 1473, 1018, 32903, 1438, 591, 23090, 619, 929, 78451, 623, 3842, 569, 125160, 236775, 570, 28188, 42087, 3105, 6050, 236761, 138, 107, 236772, 5213, 12383, 11597, 1162, 6464, 39861, 568, 236806, 143204, 1473, 1018, 2358, 32887, 236764, 637, 8780, 168063, 496, 759, 4743, 501, 7297, 33610, 1162, 204309, 236764, 3225, 569, 759, 56899, 131451, 236761, 138, 107, 236772, 5213, 135673, 1162, 62000, 568, 236791, 687, 56841, 1473, 1018, 2358, 52741, 236764, 636, 98725, 96452, 171069, 569, 6050, 236764, 86262, 862, 117017, 623, 36317, 32123, 3173, 3056, 138, 108, 237665, 5548, 114709, 929, 926, 777, 13440, 4134, 63472, 5311, 117919, 569, 18530, 181908, 3051, 512, 929, 29322, 13240, 16536, 28188, 42087, 83603, 6564, 1642, 82214, 591, 97505, 569, 38048, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 32187, 9375, 1262, 1298, 11383, 25118, 910, 17681, 607, 2263, 12308, 3418, 1607, 12669, 236761, 7714, 8038, 815, 496, 1076, 529, 14900, 600, 1202, 531, 577, 75768, 236764, 532, 993, 236789, 236751, 496, 3530, 16433, 573, 12804, 506, 69570, 2721, 580, 64470, 7798, 531, 1023, 2958, 7675, 236761, 5315, 236764, 1138, 506, 14900, 699, 506, 623, 19118, 55677, 236775, 8038, 236787, 236743, 236778, 236800, 532, 236743, 236770, 236832, 236761, 1637, 506, 1354, 32839, 236743, 236800, 236810, 236764, 1138, 672, 2324, 531, 506, 623, 42814, 19779, 236775, 6317, 529, 236743, 236812, 236778, 236761, 1637, 711, 236764, 1138, 625, 531, 506, 623, 40585, 90003, 16661, 236775, 6317, 529, 236743, 236778, 236828, 236761, 4298, 236764, 17194, 529, 506, 2479, 3523, 236764, 1138, 506, 623, 17224, 63034, 236775, 6317, 529, 236743, 236800, 236770, 531, 506, 1873, 2558, 236761, 2900, 563, 506, 1626, 22907, 6317, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236812, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236828, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236770, 236800, 236783, 106, 107, 105, 4368, 107, 818, 1626, 22907, 6317, 563, 5213, 236770, 236770, 236800, 84750, 236743, 108, 8291, 236789, 236751, 506, 25890, 236787, 107, 236770, 236761, 5213, 19118, 55677, 66515, 236743, 236778, 236800, 900, 236743, 236770, 236832, 578, 5213, 236812, 236771, 1018, 568, 716, 3641, 236751, 236743, 236800, 236810, 236764, 834, 7162, 531, 7901, 19779, 236768, 107, 236778, 236761, 5213, 42814, 19779, 66515, 236743, 236812, 236771, 900, 236743, 236812, 236778, 578, 5213, 236828, 236778, 1018, 107, 236800, 236761, 5213, 17224, 63034, 66515, 236743, 236828, 236778, 900, 236743, 236800, 236770, 578, 5213, 236770, 236770, 236800, 1018, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 32187, 9375, 1262, 1298, 11383, 25118, 910, 17681, 607, 2263, 12308, 3418, 1607, 12669, 236761, 7714, 8038, 815, 496, 1076, 529, 14900, 600, 1202, 531, 577, 75768, 236764, 532, 993, 236789, 236751, 496, 3530, 16433, 573, 12804, 506, 69570, 2721, 580, 64470, 7798, 531, 1023, 2958, 7675, 236761, 5315, 236764, 1138, 506, 14900, 699, 506, 623, 19118, 55677, 236775, 8038, 236787, 236743, 236778, 236800, 532, 236743, 236770, 236832, 236761, 1637, 506, 1354, 32839, 236743, 236800, 236810, 236764, 1138, 672, 2324, 531, 506, 623, 42814, 19779, 236775, 6317, 529, 236743, 236812, 236778, 236761, 1637, 711, 236764, 1138, 625, 531, 506, 623, 40585, 90003, 16661, 236775, 6317, 529, 236743, 236778, 236828, 236761, 4298, 236764, 17194, 529, 506, 2479, 3523, 236764, 1138, 506, 623, 17224, 63034, 236775, 6317, 529, 236743, 236800, 236770, 531, 506, 1873, 2558, 236761, 2900, 563, 506, 1626, 22907, 6317, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236812, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236828, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236770, 236800, 236783, 106, 107, 105, 4368, 107, 818, 1626, 22907, 6317, 563, 5213, 236770, 236770, 236800, 84750, 236743, 108, 8291, 236789, 236751, 506, 25890, 236787, 107, 236770, 236761, 5213, 19118, 55677, 66515, 236743, 236778, 236800, 900, 236743, 236770, 236832, 578, 5213, 236812, 236771, 1018, 568, 716, 3641, 236751, 236743, 236800, 236810, 236764, 834, 7162, 531, 7901, 19779, 236768, 107, 236778, 236761, 5213, 42814, 19779, 66515, 236743, 236812, 236771, 900, 236743, 236812, 236778, 578, 5213, 236828, 236778, 1018, 107, 236800, 236761, 5213, 17224, 63034, 66515, 236743, 236828, 236778, 900, 236743, 236800, 236770, 578, 5213, 236770, 236770, 236800, 1018, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 16899, 142320, 18006, 573, 1041, 4690, 657, 506, 3399, 3988, 2148, 2297, 236888, 1191, 1202, 861, 7093, 236764, 840, 564, 1461, 531, 1586, 506, 1791, 3325, 5906, 1208, 609, 236778, 236771, 236771, 1546, 236761, 3199, 611, 2426, 837, 3211, 735, 1535, 10595, 532, 2229, 699, 13451, 34616, 236881, 9187, 684, 3182, 872, 16899, 142320, 1076, 3211, 236764, 1299, 5957, 684, 3385, 236764, 2426, 910, 10595, 236764, 532, 16807, 506, 17320, 659, 68064, 1680, 692, 1900, 236761, 3551, 4690, 4911, 580, 786, 573, 1239, 9886, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 9775, 531, 1601, 611, 2731, 822, 16899, 142320, 18006, 236888, 3153, 236764, 564, 1202, 1070, 65977, 531, 7162, 11974, 236761, 669, 6436, 564, 735, 2802, 531, 1660, 3530, 1698, 62606, 531, 33205, 1938, 1003, 4852, 236764, 10595, 236764, 653, 34616, 236761, 28344, 611, 2847, 786, 607, 506, 1698, 62606, 529, 506, 16899, 142320, 7093, 611, 236789, 500, 11337, 236881, 1174, 795, 2174, 786, 531, 236787, 108, 236770, 236761, 7179, 506, 1698, 4889, 568, 9707, 236764, 15830, 236768, 107, 236778, 236761, 91820, 10595, 531, 5608, 3325, 107, 236800, 236761, 66636, 506, 20925, 236789, 236751, 21016, 108, 2859, 611, 1537, 236789, 236745, 735, 3530, 1698, 62606, 3819, 236764, 564, 5840, 1171, 38101, 545, 236772, 25351, 14175, 531, 1586, 16899, 142320, 7093, 1208, 609, 236778, 236771, 236771, 236764, 1299, 4024, 506, 1698, 62606, 1590, 573, 786, 531, 17395, 3342, 236761, 21284, 611, 1133, 531, 7162, 672, 1595, 236881, 106, 107, 105, 2364, 107, 236777, 1765, 1070, 16899, 142320, 1076, 62606, 580, 9593, 532, 55578, 600, 1385, 23284, 236888, 5715, 659, 1806, 531, 2426, 236787, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236764, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 236764, 236743, 236812, 236810, 236825, 236832, 236828, 236819, 236761, 3792, 236858, 236751, 1502, 684, 3978, 6079, 8283, 580, 1546, 531, 9128, 901, 236858, 500, 1208, 609, 236778, 236771, 236771, 236761, 9920, 692, 1281, 506, 6527, 236764, 740, 611, 4071, 236772, 30449, 910, 10595, 532, 20925, 24074, 236881, 564, 5630, 886, 1076, 1053, 41537, 25583, 600, 6976, 4011, 573, 1023, 53451, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 1201, 1083, 623, 83738, 11050, 142320, 5833, 753, 51544, 19767, 827, 623, 7777, 1083, 623, 56753, 236772, 9619, 16899, 142320, 1076, 607, 22937, 41537, 25583, 236764, 60063, 7579, 236764, 532, 496, 71009, 13418, 1624, 236761, 49308, 236743, 236770, 236825, 236771, 4077, 25583, 532, 496, 6157, 3070, 10498, 623, 9707, 1083, 236743, 236770, 236819, 236819, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 902, 2862, 568, 236770, 236778, 6630, 2487, 22730, 623, 16518, 1083, 3714, 10236, 1083, 623, 219627, 532, 43389, 8901, 827, 623, 35990, 236779, 6078, 1083, 623, 236800, 236810, 236771, 236759, 810, 21965, 827, 623, 4925, 236779, 63265, 1083, 623, 236770, 236828, 8455, 236781, 236770, 236778, 8455, 236781, 236812, 8455, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 8318, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236828, 236819, 236764, 623, 41028, 236779, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236800, 236812, 236810, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 11947, 3325, 573, 506, 3385, 236764, 840, 9097, 1451, 577, 919, 22937, 10498, 623, 57217, 1083, 623, 21775, 236836, 236828, 236828, 236778, 236770, 827, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 25612, 236779, 547, 1083, 623, 124401, 236800, 236812, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 60881, 1076, 236888, 176913, 659, 7080, 532, 3735, 531, 1676, 236761, 35900, 1418, 55890, 10498, 623, 57217, 1083, 623, 21775, 236836, 236828, 236828, 236778, 236770, 827, 623, 87622, 236779, 73769, 1083, 1847, 104960, 623, 10479, 236779, 103411, 1083, 623, 13126, 236779, 11480, 827, 623, 4000, 1083, 236743, 236770, 236764, 623, 5594, 236779, 5576, 236779, 11134, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236800, 236778, 236770, 236771, 236819, 236828, 827, 623, 1201, 1083, 623, 107332, 128584, 11050, 142320, 5833, 827, 623, 7777, 1083, 623, 4974, 69928, 16899, 142320, 1076, 607, 60063, 41537, 25583, 236764, 49757, 6081, 5693, 236764, 532, 7116, 73756, 236761, 45891, 573, 53451, 532, 5707, 1441, 10498, 623, 9707, 1083, 236743, 236770, 236832, 236819, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 902, 2862, 827, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236800, 236778, 236770, 236771, 236819, 236828, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 66850, 1083, 78493, 2364, 1083, 623, 34448, 142320, 80262, 236778, 236771, 236778, 236800, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 58632, 1076, 573, 15189, 1441, 236764, 25583, 659, 3735, 531, 1676, 840, 25883, 3325, 563, 4398, 10498, 623, 57217, 1083, 623, 78645, 236772, 10108, 236772, 236778, 236771, 236778, 236800, 23179, 3714, 2364, 1083, 623, 46640, 8515, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 11947, 1550, 573, 3399, 3988, 1161, 236764, 840, 9724, 16201, 25583, 528, 506, 4077, 1076, 10498, 623, 57217, 1083, 623, 78645, 236772, 10108, 236772, 236778, 236771, 236778, 236800, 25938, 1604, 623, 2592, 605, 1083, 11058, 78645, 236772, 10108, 236772, 236778, 236771, 236778, 236800, 14255, 623, 4000, 236779, 3744, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 5930, 236779, 1201, 1083, 623, 107332, 11050, 142320, 5833, 607, 141643, 15316, 827, 623, 7777, 1083, 623, 13238, 236772, 15276, 16899, 142320, 1076, 607, 22937, 35740, 25583, 236764, 60259, 13418, 1624, 236764, 532, 16201, 6317, 25299, 236761, 45891, 573, 18006, 1441, 10498, 623, 9707, 1083, 236743, 236770, 236828, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 1847, 236764, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 25612, 236779, 6011, 1083, 623, 60881, 83918, 236764, 3582, 25583, 236764, 532, 47170, 1624, 236761, 59562, 19916, 6077, 607, 13451, 16593, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10140, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 4818, 1083, 623, 5034, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 87622, 236779, 62856, 1083, 1847, 236764, 623, 2060, 236779, 26286, 1083, 623, 236800, 236771, 2668, 699, 8341, 3433, 827, 623, 498, 236779, 2289, 236779, 81907, 236779, 4720, 1083, 623, 236819, 236810, 70887, 623, 5930, 236779, 8572, 1083, 623, 63190, 16899, 142320, 7093, 236764, 25364, 25583, 236764, 13418, 3636, 827, 623, 214144, 236779, 25142, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 6259, 21410, 16329, 784, 1806, 16899, 142320, 7093, 236764, 1590, 236789, 236751, 496, 12323, 531, 1601, 611, 10741, 236787, 108, 1018, 236770, 236761, 7303, 5853, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236819, 236761, 236819, 236810, 568, 6460, 7715, 236768, 138, 107, 236772, 5213, 27144, 66515, 128584, 25583, 236764, 5707, 236772, 9619, 236764, 71009, 1624, 138, 107, 236772, 5213, 72649, 66515, 236743, 236812, 236761, 236778, 236786, 236810, 4398, 14470, 568, 63258, 9697, 236787, 1070, 30450, 39601, 236764, 3496, 5433, 4398, 25883, 3325, 236768, 138, 107, 236772, 5213, 101309, 66515, 2301, 7805, 8283, 2487, 138, 108, 1018, 236778, 236761, 7303, 5853, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236832, 236819, 236761, 236819, 236810, 568, 9783, 1550, 236768, 138, 107, 236772, 5213, 27144, 66515, 7936, 69928, 41537, 25583, 236764, 49757, 5693, 236764, 7116, 73756, 138, 107, 236772, 5213, 72649, 66515, 236743, 236812, 236761, 236778, 236786, 236810, 4398, 14470, 568, 12641, 2765, 506, 122499, 840, 5433, 9875, 9724, 25583, 236768, 138, 107, 236772, 5213, 101309, 66515, 2301, 7805, 8283, 2487, 138, 108, 1018, 236800, 236761, 7303, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 236819, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236819, 236761, 236819, 236819, 568, 6460, 7715, 236768, 138, 107, 236772, 5213, 27144, 66515, 102371, 25583, 236764, 60259, 1624, 236764, 20925, 236772, 7577, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 236772, 5213, 22527, 106587, 66515, 128731, 20925, 2338, 236743, 236778, 236771, 236770, 236828, 236764, 236743, 236819, 236810, 236908, 580, 236772, 2289, 8341, 236764, 236743, 236800, 236771, 236772, 1496, 7623, 138, 107, 236772, 5213, 72649, 66515, 2301, 9813, 3540, 1262, 52236, 138, 108, 10354, 111506, 236787, 138, 107, 236772, 5213, 17043, 128584, 34742, 66515, 5213, 7163, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 1018, 5469, 506, 14723, 3385, 236764, 41537, 25583, 236764, 532, 3188, 10595, 236761, 669, 6495, 4186, 607, 9724, 25583, 563, 9875, 573, 496, 3399, 18006, 236761, 138, 107, 236772, 5213, 14254, 128758, 59562, 66515, 7303, 236743, 236812, 236810, 236825, 236832, 236828, 236819, 236858, 236751, 20925, 563, 6112, 68064, 236764, 840, 35740, 25583, 1149, 711, 2874, 822, 24104, 573, 41537, 236761, 138, 108, 10081, 822, 4690, 56856, 3325, 532, 41537, 25583, 236764, 5213, 7163, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 1018, 563, 506, 1903, 4351, 236761, 1637, 611, 236858, 236753, 1133, 531, 3972, 236772, 4256, 7805, 4889, 573, 1027, 1698, 236764, 1531, 786, 1281, 236888, 236743, 478, 397, 381, 385, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 16899, 142320, 18006, 573, 1041, 4690, 657, 506, 3399, 3988, 2148, 2297, 236888, 1191, 1202, 861, 7093, 236764, 840, 564, 1461, 531, 1586, 506, 1791, 3325, 5906, 1208, 609, 236778, 236771, 236771, 1546, 236761, 3199, 611, 2426, 837, 3211, 735, 1535, 10595, 532, 2229, 699, 13451, 34616, 236881, 9187, 684, 3182, 872, 16899, 142320, 1076, 3211, 236764, 1299, 5957, 684, 3385, 236764, 2426, 910, 10595, 236764, 532, 16807, 506, 17320, 659, 68064, 1680, 692, 1900, 236761, 3551, 4690, 4911, 580, 786, 573, 1239, 9886, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 9775, 531, 1601, 611, 2731, 822, 16899, 142320, 18006, 236888, 3153, 236764, 564, 1202, 1070, 65977, 531, 7162, 11974, 236761, 669, 6436, 564, 735, 2802, 531, 1660, 3530, 1698, 62606, 531, 33205, 1938, 1003, 4852, 236764, 10595, 236764, 653, 34616, 236761, 28344, 611, 2847, 786, 607, 506, 1698, 62606, 529, 506, 16899, 142320, 7093, 611, 236789, 500, 11337, 236881, 1174, 795, 2174, 786, 531, 236787, 108, 236770, 236761, 7179, 506, 1698, 4889, 568, 9707, 236764, 15830, 236768, 107, 236778, 236761, 91820, 10595, 531, 5608, 3325, 107, 236800, 236761, 66636, 506, 20925, 236789, 236751, 21016, 108, 2859, 611, 1537, 236789, 236745, 735, 3530, 1698, 62606, 3819, 236764, 564, 5840, 1171, 38101, 545, 236772, 25351, 14175, 531, 1586, 16899, 142320, 7093, 1208, 609, 236778, 236771, 236771, 236764, 1299, 4024, 506, 1698, 62606, 1590, 573, 786, 531, 17395, 3342, 236761, 21284, 611, 1133, 531, 7162, 672, 1595, 236881, 106, 107, 105, 2364, 107, 236777, 1765, 1070, 16899, 142320, 1076, 62606, 580, 9593, 532, 55578, 600, 1385, 23284, 236888, 5715, 659, 1806, 531, 2426, 236787, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236764, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 236764, 236743, 236812, 236810, 236825, 236832, 236828, 236819, 236761, 3792, 236858, 236751, 1502, 684, 3978, 6079, 8283, 580, 1546, 531, 9128, 901, 236858, 500, 1208, 609, 236778, 236771, 236771, 236761, 9920, 692, 1281, 506, 6527, 236764, 740, 611, 4071, 236772, 30449, 910, 10595, 532, 20925, 24074, 236881, 564, 5630, 886, 1076, 1053, 41537, 25583, 600, 6976, 4011, 573, 1023, 53451, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 1201, 1083, 623, 83738, 11050, 142320, 5833, 753, 51544, 19767, 827, 623, 7777, 1083, 623, 56753, 236772, 9619, 16899, 142320, 1076, 607, 22937, 41537, 25583, 236764, 60063, 7579, 236764, 532, 496, 71009, 13418, 1624, 236761, 49308, 236743, 236770, 236825, 236771, 4077, 25583, 532, 496, 6157, 3070, 10498, 623, 9707, 1083, 236743, 236770, 236819, 236819, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 902, 2862, 568, 236770, 236778, 6630, 2487, 22730, 623, 16518, 1083, 3714, 10236, 1083, 623, 219627, 532, 43389, 8901, 827, 623, 35990, 236779, 6078, 1083, 623, 236800, 236810, 236771, 236759, 810, 21965, 827, 623, 4925, 236779, 63265, 1083, 623, 236770, 236828, 8455, 236781, 236770, 236778, 8455, 236781, 236812, 8455, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 8318, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236828, 236819, 236764, 623, 41028, 236779, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236800, 236812, 236810, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 11947, 3325, 573, 506, 3385, 236764, 840, 9097, 1451, 577, 919, 22937, 10498, 623, 57217, 1083, 623, 21775, 236836, 236828, 236828, 236778, 236770, 827, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 25612, 236779, 547, 1083, 623, 124401, 236800, 236812, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 60881, 1076, 236888, 176913, 659, 7080, 532, 3735, 531, 1676, 236761, 35900, 1418, 55890, 10498, 623, 57217, 1083, 623, 21775, 236836, 236828, 236828, 236778, 236770, 827, 623, 87622, 236779, 73769, 1083, 1847, 104960, 623, 10479, 236779, 103411, 1083, 623, 13126, 236779, 11480, 827, 623, 4000, 1083, 236743, 236770, 236764, 623, 5594, 236779, 5576, 236779, 11134, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236800, 236778, 236770, 236771, 236819, 236828, 827, 623, 1201, 1083, 623, 107332, 128584, 11050, 142320, 5833, 827, 623, 7777, 1083, 623, 4974, 69928, 16899, 142320, 1076, 607, 60063, 41537, 25583, 236764, 49757, 6081, 5693, 236764, 532, 7116, 73756, 236761, 45891, 573, 53451, 532, 5707, 1441, 10498, 623, 9707, 1083, 236743, 236770, 236832, 236819, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 902, 2862, 827, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236800, 236778, 236770, 236771, 236819, 236828, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 66850, 1083, 78493, 2364, 1083, 623, 34448, 142320, 80262, 236778, 236771, 236778, 236800, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 58632, 1076, 573, 15189, 1441, 236764, 25583, 659, 3735, 531, 1676, 840, 25883, 3325, 563, 4398, 10498, 623, 57217, 1083, 623, 78645, 236772, 10108, 236772, 236778, 236771, 236778, 236800, 23179, 3714, 2364, 1083, 623, 46640, 8515, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 11947, 1550, 573, 3399, 3988, 1161, 236764, 840, 9724, 16201, 25583, 528, 506, 4077, 1076, 10498, 623, 57217, 1083, 623, 78645, 236772, 10108, 236772, 236778, 236771, 236778, 236800, 25938, 1604, 623, 2592, 605, 1083, 11058, 78645, 236772, 10108, 236772, 236778, 236771, 236778, 236800, 14255, 623, 4000, 236779, 3744, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 5930, 236779, 1201, 1083, 623, 107332, 11050, 142320, 5833, 607, 141643, 15316, 827, 623, 7777, 1083, 623, 13238, 236772, 15276, 16899, 142320, 1076, 607, 22937, 35740, 25583, 236764, 60259, 13418, 1624, 236764, 532, 16201, 6317, 25299, 236761, 45891, 573, 18006, 1441, 10498, 623, 9707, 1083, 236743, 236770, 236828, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 1847, 236764, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 25612, 236779, 6011, 1083, 623, 60881, 83918, 236764, 3582, 25583, 236764, 532, 47170, 1624, 236761, 59562, 19916, 6077, 607, 13451, 16593, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10140, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 4818, 1083, 623, 5034, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 87622, 236779, 62856, 1083, 1847, 236764, 623, 2060, 236779, 26286, 1083, 623, 236800, 236771, 2668, 699, 8341, 3433, 827, 623, 498, 236779, 2289, 236779, 81907, 236779, 4720, 1083, 623, 236819, 236810, 70887, 623, 5930, 236779, 8572, 1083, 623, 63190, 16899, 142320, 7093, 236764, 25364, 25583, 236764, 13418, 3636, 827, 623, 214144, 236779, 25142, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 6259, 21410, 16329, 784, 1806, 16899, 142320, 7093, 236764, 1590, 236789, 236751, 496, 12323, 531, 1601, 611, 10741, 236787, 108, 1018, 236770, 236761, 7303, 5853, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236819, 236761, 236819, 236810, 568, 6460, 7715, 236768, 138, 107, 236772, 5213, 27144, 66515, 128584, 25583, 236764, 5707, 236772, 9619, 236764, 71009, 1624, 138, 107, 236772, 5213, 72649, 66515, 236743, 236812, 236761, 236778, 236786, 236810, 4398, 14470, 568, 63258, 9697, 236787, 1070, 30450, 39601, 236764, 3496, 5433, 4398, 25883, 3325, 236768, 138, 107, 236772, 5213, 101309, 66515, 2301, 7805, 8283, 2487, 138, 108, 1018, 236778, 236761, 7303, 5853, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236832, 236819, 236761, 236819, 236810, 568, 9783, 1550, 236768, 138, 107, 236772, 5213, 27144, 66515, 7936, 69928, 41537, 25583, 236764, 49757, 5693, 236764, 7116, 73756, 138, 107, 236772, 5213, 72649, 66515, 236743, 236812, 236761, 236778, 236786, 236810, 4398, 14470, 568, 12641, 2765, 506, 122499, 840, 5433, 9875, 9724, 25583, 236768, 138, 107, 236772, 5213, 101309, 66515, 2301, 7805, 8283, 2487, 138, 108, 1018, 236800, 236761, 7303, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 236819, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236819, 236761, 236819, 236819, 568, 6460, 7715, 236768, 138, 107, 236772, 5213, 27144, 66515, 102371, 25583, 236764, 60259, 1624, 236764, 20925, 236772, 7577, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 236772, 5213, 22527, 106587, 66515, 128731, 20925, 2338, 236743, 236778, 236771, 236770, 236828, 236764, 236743, 236819, 236810, 236908, 580, 236772, 2289, 8341, 236764, 236743, 236800, 236771, 236772, 1496, 7623, 138, 107, 236772, 5213, 72649, 66515, 2301, 9813, 3540, 1262, 52236, 138, 108, 10354, 111506, 236787, 138, 107, 236772, 5213, 17043, 128584, 34742, 66515, 5213, 7163, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 1018, 5469, 506, 14723, 3385, 236764, 41537, 25583, 236764, 532, 3188, 10595, 236761, 669, 6495, 4186, 607, 9724, 25583, 563, 9875, 573, 496, 3399, 18006, 236761, 138, 107, 236772, 5213, 14254, 128758, 59562, 66515, 7303, 236743, 236812, 236810, 236825, 236832, 236828, 236819, 236858, 236751, 20925, 563, 6112, 68064, 236764, 840, 35740, 25583, 1149, 711, 2874, 822, 24104, 573, 41537, 236761, 138, 108, 10081, 822, 4690, 56856, 3325, 532, 41537, 25583, 236764, 5213, 7163, 236743, 236800, 236778, 236770, 236771, 236819, 236828, 1018, 563, 506, 1903, 4351, 236761, 1637, 611, 236858, 236753, 1133, 531, 3972, 236772, 4256, 7805, 4889, 573, 1027, 1698, 236764, 1531, 786, 1281, 236888, 236743, 478, 397, 381, 385, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 1679, 506, 3325, 4186, 528, 1774, 2069, 236789, 236751, 12539, 236761, 3792, 786, 1502, 684, 3182, 872, 9470, 5853, 236743, 236770, 236812, 236828, 236778, 236800, 699, 506, 10530, 2072, 236761, 9920, 564, 735, 910, 4889, 236764, 564, 1374, 2426, 1015, 910, 26409, 563, 531, 1500, 872, 580, 4122, 8735, 236761, 1637, 910, 22902, 563, 44911, 236764, 564, 236789, 859, 1202, 531, 129768, 531, 506, 2148, 1984, 236761, 3199, 611, 1601, 786, 21332, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236770, 236812, 236828, 236778, 236800, 827, 623, 1201, 1083, 623, 12720, 98881, 827, 623, 3473, 1083, 623, 40213, 9463, 122312, 827, 623, 219221, 236779, 547, 1083, 623, 236810, 236825, 236832, 236828, 827, 623, 18289, 8112, 1083, 78493, 1201, 1083, 623, 32279, 236743, 236819, 236771, 236771, 236770, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 23179, 3714, 1201, 1083, 623, 61569, 63040, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 25938, 1604, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 12720, 30641, 827, 623, 3473, 1083, 623, 40213, 9463, 122312, 827, 623, 219221, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 827, 623, 18289, 8112, 1083, 78493, 2084, 1083, 623, 32279, 236743, 236819, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 106475, 827, 623, 5455, 236779, 213812, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 1604, 623, 53568, 1083, 623, 166470, 827, 623, 22030, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 236787, 108, 1018, 20735, 236743, 236770, 236812, 236828, 236778, 236800, 568, 12720, 98881, 1473, 1018, 107, 236772, 27180, 236787, 19779, 9463, 122312, 107, 236772, 78468, 5853, 236787, 236743, 236810, 236825, 236832, 236828, 107, 236772, 16344, 8112, 236787, 22977, 236743, 236819, 236771, 236771, 236770, 568, 4730, 3097, 236743, 236778, 236771, 236778, 236810, 779, 16661, 63040, 568, 106475, 4179, 236743, 236778, 236771, 236778, 236812, 236768, 108, 1018, 190553, 236743, 236810, 236825, 236832, 236828, 568, 12720, 30641, 1473, 1018, 107, 236772, 27180, 236787, 19779, 9463, 122312, 107, 236772, 5570, 236787, 35485, 107, 236772, 52414, 236787, 22977, 236743, 236819, 236771, 236771, 236770, 568, 106475, 2338, 236743, 236778, 236771, 236778, 236778, 236768, 107, 236772, 78468, 5853, 236787, 236743, 236819, 236828, 236832, 236825, 108, 818, 26409, 236789, 236751, 22977, 236743, 236819, 236771, 236771, 236770, 22902, 563, 11161, 44911, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 506, 2148, 1984, 26409, 568, 1735, 236743, 236819, 236828, 236832, 236825, 236768, 531, 129768, 672, 4217, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 1679, 506, 3325, 4186, 528, 1774, 2069, 236789, 236751, 12539, 236761, 3792, 786, 1502, 684, 3182, 872, 9470, 5853, 236743, 236770, 236812, 236828, 236778, 236800, 699, 506, 10530, 2072, 236761, 9920, 564, 735, 910, 4889, 236764, 564, 1374, 2426, 1015, 910, 26409, 563, 531, 1500, 872, 580, 4122, 8735, 236761, 1637, 910, 22902, 563, 44911, 236764, 564, 236789, 859, 1202, 531, 129768, 531, 506, 2148, 1984, 236761, 3199, 611, 1601, 786, 21332, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236770, 236812, 236828, 236778, 236800, 827, 623, 1201, 1083, 623, 12720, 98881, 827, 623, 3473, 1083, 623, 40213, 9463, 122312, 827, 623, 219221, 236779, 547, 1083, 623, 236810, 236825, 236832, 236828, 827, 623, 18289, 8112, 1083, 78493, 1201, 1083, 623, 32279, 236743, 236819, 236771, 236771, 236770, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 23179, 3714, 1201, 1083, 623, 61569, 63040, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 25938, 1604, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 12720, 30641, 827, 623, 3473, 1083, 623, 40213, 9463, 122312, 827, 623, 219221, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 827, 623, 18289, 8112, 1083, 78493, 2084, 1083, 623, 32279, 236743, 236819, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 106475, 827, 623, 5455, 236779, 213812, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 1604, 623, 53568, 1083, 623, 166470, 827, 623, 22030, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 236787, 108, 1018, 20735, 236743, 236770, 236812, 236828, 236778, 236800, 568, 12720, 98881, 1473, 1018, 107, 236772, 27180, 236787, 19779, 9463, 122312, 107, 236772, 78468, 5853, 236787, 236743, 236810, 236825, 236832, 236828, 107, 236772, 16344, 8112, 236787, 22977, 236743, 236819, 236771, 236771, 236770, 568, 4730, 3097, 236743, 236778, 236771, 236778, 236810, 779, 16661, 63040, 568, 106475, 4179, 236743, 236778, 236771, 236778, 236812, 236768, 108, 1018, 190553, 236743, 236810, 236825, 236832, 236828, 568, 12720, 30641, 1473, 1018, 107, 236772, 27180, 236787, 19779, 9463, 122312, 107, 236772, 5570, 236787, 35485, 107, 236772, 52414, 236787, 22977, 236743, 236819, 236771, 236771, 236770, 568, 106475, 2338, 236743, 236778, 236771, 236778, 236778, 236768, 107, 236772, 78468, 5853, 236787, 236743, 236819, 236828, 236832, 236825, 108, 818, 26409, 236789, 236751, 22977, 236743, 236819, 236771, 236771, 236770, 22902, 563, 11161, 44911, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 506, 2148, 1984, 26409, 568, 1735, 236743, 236819, 236828, 236832, 236825, 236768, 531, 129768, 672, 4217, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 611, 531, 1601, 786, 4196, 13819, 1003, 2263, 7760, 532, 4668, 7798, 531, 68797, 236761, 5315, 236764, 2426, 506, 6524, 50196, 699, 506, 173776, 80501, 236772, 29504, 531, 1460, 768, 993, 659, 1027, 3399, 4749, 13922, 236761, 1637, 506, 50196, 42298, 4658, 1003, 4993, 653, 24564, 981, 236764, 1299, 974, 506, 6524, 699, 43600, 36485, 16090, 236761, 1637, 600, 4676, 39817, 6779, 4993, 6607, 236764, 1299, 3927, 573, 24564, 7760, 528, 173776, 573, 10299, 5422, 618, 496, 1855, 5192, 236761, 3792, 786, 1281, 1144, 611, 1586, 657, 1546, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 46640, 77362, 15519, 5833, 573, 8224, 657, 173776, 4556, 236793, 12263, 70742, 73063, 236743, 236778, 236771, 236771, 236862, 200647, 573, 18592, 37747, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 94156, 1083, 623, 4199, 34606, 9426, 41327, 186791, 528, 173776, 827, 623, 119789, 1083, 623, 164003, 36485, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 236777, 1765, 600, 506, 173776, 80501, 236772, 29504, 50196, 42298, 496, 5213, 46640, 77362, 15519, 1018, 12985, 78610, 573, 8646, 5699, 236761, 669, 43600, 36485, 4676, 44898, 861, 5213, 82625, 4993, 6607, 1018, 528, 173776, 236761, 3153, 236764, 564, 5633, 6220, 2802, 531, 6436, 600, 740, 3927, 573, 3530, 24564, 7760, 568, 236744, 236761, 236759, 1126, 130066, 10299, 13616, 236768, 653, 3195, 19059, 236761, 1599, 1149, 1461, 531, 3662, 2263, 9780, 1133, 506, 173776, 36962, 5570, 653, 6779, 4993, 16545, 5467, 573, 130066, 24564, 4889, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 12496, 236761, 5612, 692, 236858, 560, 10778, 6779, 4993, 6607, 659, 21494, 236764, 840, 692, 740, 236858, 236745, 5467, 3927, 573, 130066, 24564, 13616, 236764, 1531, 236858, 236751, 38179, 236761, 6890, 506, 173776, 80501, 236772, 29504, 1570, 531, 2426, 768, 1027, 4803, 10308, 4928, 2263, 62476, 8904, 653, 9226, 9780, 237028, 39441, 2473, 18343, 657, 130066, 3548, 236761, 1637, 600, 15741, 7798, 4889, 236764, 8229, 692, 740, 15906, 1298, 531, 3213, 236761, 1637, 711, 236764, 1531, 236858, 236751, 20151, 872, 532, 564, 236858, 859, 1500, 872, 607, 506, 36962, 5570, 5467, 1003, 506, 77362, 15519, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 3250, 1083, 623, 46640, 103717, 139253, 573, 173776, 4556, 153846, 12209, 580, 5142, 236743, 236770, 236810, 594, 25938, 106, 107, 105, 4368, 107, 818, 6524, 173776, 80501, 236772, 29504, 4676, 1003, 496, 5213, 26567, 50600, 2460, 1018, 4038, 236858, 236745, 4928, 62476, 8904, 653, 9226, 9780, 236761, 5612, 672, 4038, 236858, 236745, 2847, 861, 19317, 236764, 564, 5840, 26891, 607, 822, 2731, 531, 3662, 506, 5213, 220118, 5570, 1018, 5467, 1003, 506, 77362, 15519, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 66582, 496, 3618, 653, 22260, 1032, 14608, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 611, 531, 1601, 786, 4196, 13819, 1003, 2263, 7760, 532, 4668, 7798, 531, 68797, 236761, 5315, 236764, 2426, 506, 6524, 50196, 699, 506, 173776, 80501, 236772, 29504, 531, 1460, 768, 993, 659, 1027, 3399, 4749, 13922, 236761, 1637, 506, 50196, 42298, 4658, 1003, 4993, 653, 24564, 981, 236764, 1299, 974, 506, 6524, 699, 43600, 36485, 16090, 236761, 1637, 600, 4676, 39817, 6779, 4993, 6607, 236764, 1299, 3927, 573, 24564, 7760, 528, 173776, 573, 10299, 5422, 618, 496, 1855, 5192, 236761, 3792, 786, 1281, 1144, 611, 1586, 657, 1546, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 46640, 77362, 15519, 5833, 573, 8224, 657, 173776, 4556, 236793, 12263, 70742, 73063, 236743, 236778, 236771, 236771, 236862, 200647, 573, 18592, 37747, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 94156, 1083, 623, 4199, 34606, 9426, 41327, 186791, 528, 173776, 827, 623, 119789, 1083, 623, 164003, 36485, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 236777, 1765, 600, 506, 173776, 80501, 236772, 29504, 50196, 42298, 496, 5213, 46640, 77362, 15519, 1018, 12985, 78610, 573, 8646, 5699, 236761, 669, 43600, 36485, 4676, 44898, 861, 5213, 82625, 4993, 6607, 1018, 528, 173776, 236761, 3153, 236764, 564, 5633, 6220, 2802, 531, 6436, 600, 740, 3927, 573, 3530, 24564, 7760, 568, 236744, 236761, 236759, 1126, 130066, 10299, 13616, 236768, 653, 3195, 19059, 236761, 1599, 1149, 1461, 531, 3662, 2263, 9780, 1133, 506, 173776, 36962, 5570, 653, 6779, 4993, 16545, 5467, 573, 130066, 24564, 4889, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 12496, 236761, 5612, 692, 236858, 560, 10778, 6779, 4993, 6607, 659, 21494, 236764, 840, 692, 740, 236858, 236745, 5467, 3927, 573, 130066, 24564, 13616, 236764, 1531, 236858, 236751, 38179, 236761, 6890, 506, 173776, 80501, 236772, 29504, 1570, 531, 2426, 768, 1027, 4803, 10308, 4928, 2263, 62476, 8904, 653, 9226, 9780, 237028, 39441, 2473, 18343, 657, 130066, 3548, 236761, 1637, 600, 15741, 7798, 4889, 236764, 8229, 692, 740, 15906, 1298, 531, 3213, 236761, 1637, 711, 236764, 1531, 236858, 236751, 20151, 872, 532, 564, 236858, 859, 1500, 872, 607, 506, 36962, 5570, 5467, 1003, 506, 77362, 15519, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 3250, 1083, 623, 46640, 103717, 139253, 573, 173776, 4556, 153846, 12209, 580, 5142, 236743, 236770, 236810, 594, 25938, 106, 107, 105, 4368, 107, 818, 6524, 173776, 80501, 236772, 29504, 4676, 1003, 496, 5213, 26567, 50600, 2460, 1018, 4038, 236858, 236745, 4928, 62476, 8904, 653, 9226, 9780, 236761, 5612, 672, 4038, 236858, 236745, 2847, 861, 19317, 236764, 564, 5840, 26891, 607, 822, 2731, 531, 3662, 506, 5213, 220118, 5570, 1018, 5467, 1003, 506, 77362, 15519, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 66582, 496, 3618, 653, 22260, 1032, 14608, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 8812, 496, 3399, 2460, 2760, 623, 22945, 6279, 44795, 833, 41025, 15467, 236775, 531, 32545, 2263, 11421, 532, 12556, 2780, 29049, 236761, 564, 1202, 1601, 8159, 116303, 573, 623, 134350, 236775, 600, 2480, 12203, 506, 32163, 236764, 82158, 2778, 529, 1023, 88539, 61182, 236761, 3199, 611, 1161, 506, 3658, 38485, 5904, 531, 1586, 24277, 600, 2597, 919, 24636, 531, 1023, 12960, 236789, 236751, 44249, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 105183, 567, 827, 623, 167900, 827, 623, 21741, 6478, 827, 623, 5088, 4598, 827, 623, 50771, 8060, 827, 623, 131583, 32545, 827, 623, 125355, 1275, 14510, 14255, 623, 3017, 1083, 623, 134350, 827, 623, 6875, 236779, 14210, 1083, 623, 29396, 101864, 36443, 531, 37837, 3399, 236764, 9226, 58542, 236764, 532, 32163, 65733, 32769, 607, 88539, 236789, 236751, 82158, 2778, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 36443, 24277, 600, 12203, 88539, 236789, 236751, 28239, 236764, 3399, 236772, 27612, 7304, 236787, 108, 1018, 8534, 25863, 101864, 53121, 107, 236772, 5213, 10809, 11809, 1018, 568, 2743, 10272, 12960, 21606, 833, 2263, 18434, 236768, 107, 236772, 5213, 56839, 25780, 1018, 568, 6280, 236751, 531, 88539, 236789, 236751, 32286, 14546, 833, 82775, 1353, 2778, 236768, 107, 236772, 5213, 111994, 1275, 15998, 1018, 568, 209668, 1800, 13906, 23060, 833, 2780, 6540, 236768, 107, 236772, 5213, 111534, 12050, 1018, 568, 85416, 5561, 9226, 33862, 236768, 107, 236772, 5213, 178206, 129274, 1018, 568, 139020, 5411, 82158, 8325, 17324, 236768, 108, 9208, 3755, 37837, 78592, 236764, 9226, 21077, 236764, 532, 3399, 13859, 1024, 6635, 623, 134350, 236775, 65733, 236761, 1701, 2591, 236764, 623, 10809, 11809, 236775, 4146, 1388, 573, 11690, 28316, 9766, 236764, 1651, 623, 56839, 25780, 236775, 26818, 7100, 19573, 19575, 236761, 21284, 611, 1133, 1601, 68657, 506, 2460, 1463, 1699, 1239, 236881, 106, 107, 105, 2364, 107, 236777, 2765, 1217, 1239, 3755, 7495, 88539, 236789, 236751, 26761, 236888, 3792, 236789, 236751, 59638, 672, 3342, 236761, 28344, 611, 1601, 786, 11327, 23548, 600, 10916, 14806, 531, 1800, 4252, 808, 624, 236829, 2780, 28968, 236881, 15704, 2613, 600, 59156, 623, 56839, 25780, 236775, 607, 506, 12556, 2780, 7275, 236881, 564, 1461, 29049, 532, 11421, 531, 2597, 672, 563, 808, 42974, 236829, 5552, 236761, 106, 107, 105, 4368, 107, 6481, 236858, 236751, 46176, 4252, 532, 2780, 28968, 236888, 5715, 659, 9578, 23548, 600, 11976, 1800, 4820, 1651, 154509, 3399, 18497, 236787, 108, 236770, 236761, 5213, 236775, 111994, 182832, 15998, 236775, 1018, 138, 107, 139, 236772, 808, 69201, 1034, 236829, 131052, 531, 32286, 89970, 532, 506, 623, 125355, 236775, 529, 1800, 4252, 532, 27249, 236761, 138, 107, 139, 236772, 808, 27601, 236829, 13074, 19399, 15430, 568, 225768, 236786, 96078, 618, 1028, 236772, 906, 3287, 769, 138, 108, 236778, 236761, 5213, 236775, 22945, 6279, 190503, 833, 136299, 16110, 11809, 236775, 1018, 138, 107, 139, 236772, 808, 236799, 3705, 236829, 20756, 12556, 2780, 29049, 236793, 808, 3912, 2139, 236829, 53717, 3892, 4252, 236761, 138, 107, 139, 236772, 808, 10809, 11809, 236829, 113103, 12960, 78592, 236761, 138, 108, 236800, 236761, 5213, 236775, 818, 41025, 6274, 32079, 236775, 1018, 138, 107, 139, 236772, 808, 5010, 236829, 121673, 7659, 18917, 532, 3399, 11740, 236761, 138, 107, 139, 236772, 808, 33032, 236829, 10681, 29049, 532, 11421, 618, 4745, 48663, 236761, 138, 108, 236812, 236761, 5213, 236775, 155351, 833, 7935, 236767, 17845, 25780, 236775, 1018, 138, 107, 139, 236772, 808, 236863, 12151, 236829, 131052, 531, 16627, 236764, 121714, 12556, 2780, 568, 624, 29110, 29119, 26899, 528, 88539, 769, 138, 107, 139, 236772, 808, 56839, 25780, 236829, 15033, 506, 13906, 176223, 44249, 236761, 138, 108, 236810, 236761, 5213, 236775, 69201, 1034, 833, 163924, 79535, 236775, 1018, 138, 107, 139, 236772, 808, 69201, 1034, 236829, 578, 4252, 236858, 236751, 85872, 236793, 808, 9322, 709, 236829, 578, 12556, 2780, 6540, 236761, 138, 107, 139, 236772, 808, 206958, 236829, 58811, 13859, 1024, 36225, 236761, 138, 108, 1018, 61192, 19993, 53121, 138, 107, 1018, 236775, 22945, 6279, 236858, 236751, 8297, 236743, 236828, 900, 236743, 236828, 236775, 1018, 138, 107, 236772, 48693, 506, 22799, 623, 22945, 6279, 8297, 236743, 236770, 236771, 236771, 236775, 16573, 532, 623, 236828, 594, 17463, 2098, 496, 17110, 9226, 47380, 236761, 138, 107, 236772, 808, 236828, 236829, 1451, 147075, 1800, 4252, 568, 24539, 3740, 236768, 532, 2780, 568, 236828, 236772, 13807, 56312, 524, 19292, 69458, 138, 108, 24249, 529, 1239, 11906, 1346, 24636, 531, 822, 10040, 236881, 1191, 1451, 100257, 3342, 653, 1138, 496, 150167, 1133, 165996, 10936, 506, 11796, 5741, 6124, 1599, 1781, 236829, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 8178, 808, 69201, 1034, 833, 163924, 79535, 236829, 506, 1346, 237028, 509, 26960, 506, 31877, 7304, 532, 23948, 1800, 1610, 6667, 3075, 236761, 2024, 1531, 236858, 236751, 7671, 625, 3342, 236761, 28344, 611, 1601, 10946, 496, 150167, 600, 148007, 1131, 88539, 236858, 236751, 4083, 618, 496, 9226, 124422, 236881, 33128, 600, 131052, 531, 506, 8098, 52210, 236858, 236751, 7630, 580, 1023, 2780, 532, 4252, 236881, 15704, 1161, 506, 3658, 623, 11679, 236775, 653, 623, 223420, 236775, 531, 4187, 600, 9338, 236881, 106, 107, 105, 4368, 107, 6481, 236858, 236751, 11976, 506, 8098, 52210, 236858, 236751, 22327, 236888, 5715, 659, 150167, 14485, 600, 4187, 88539, 236858, 236751, 9226, 19549, 531, 506, 9338, 600, 21735, 625, 236787, 108, 7243, 108, 1018, 236770, 236761, 623, 4663, 506, 19109, 529, 129948, 531, 506, 138403, 529, 41025, 236787, 88539, 236858, 236751, 6274, 563, 5833, 236775, 1018, 138, 107, 236772, 808, 6870, 529, 129948, 63508, 48693, 506, 16064, 16412, 532, 52201, 529, 5561, 6540, 236761, 138, 107, 236772, 808, 236794, 89662, 529, 41025, 63508, 220122, 32286, 236786, 125355, 4252, 531, 12556, 2780, 236858, 236751, 83496, 26761, 236761, 138, 107, 236772, 808, 5010, 563, 5833, 63508, 31430, 3705, 55057, 19138, 529, 1800, 1610, 6667, 236761, 138, 108, 1018, 236778, 236761, 623, 22945, 6279, 236858, 236751, 204802, 236787, 10603, 506, 8098, 52210, 236858, 236751, 28917, 5741, 6124, 506, 182832, 236775, 1018, 138, 107, 236772, 808, 21048, 60739, 63508, 27277, 5411, 88539, 618, 496, 5395, 1523, 529, 14105, 28968, 532, 11321, 13862, 236761, 138, 107, 236772, 808, 202880, 5741, 6124, 506, 182832, 63508, 36374, 2780, 568, 143342, 236768, 532, 4252, 568, 43850, 1034, 236768, 531, 72739, 22327, 236761, 138, 108, 1018, 236800, 236761, 623, 216100, 506, 19109, 4695, 236787, 4934, 22616, 85454, 531, 41025, 1275, 190503, 833, 136299, 236775, 1018, 138, 107, 236772, 808, 6870, 4695, 63508, 7666, 10272, 506, 16064, 236858, 236751, 42442, 8633, 532, 9226, 11294, 236761, 138, 107, 236772, 808, 4722, 85454, 63508, 646, 42580, 531, 14105, 38320, 529, 43406, 236786, 200729, 532, 12556, 2780, 102668, 236761, 138, 108, 1018, 236812, 236761, 623, 236776, 11251, 529, 34856, 833, 172665, 236787, 88539, 236858, 236751, 182832, 833, 163924, 77742, 236775, 1018, 138, 107, 236772, 808, 4507, 529, 34856, 63508, 24246, 5411, 506, 16064, 236858, 236751, 4100, 236761, 138, 107, 236772, 808, 142394, 2355, 63508, 150489, 506, 2460, 618, 496, 4882, 3925, 529, 9226, 33862, 236761, 138, 108, 1018, 236810, 236761, 623, 818, 28917, 26152, 121016, 5715, 236787, 10603, 44795, 833, 7935, 236767, 17608, 506, 52210, 236858, 236751, 93203, 236775, 1018, 138, 107, 236772, 808, 202880, 26152, 63508, 562, 50232, 573, 506, 16064, 236858, 236751, 60370, 7630, 236761, 138, 107, 236772, 808, 236863, 12151, 63508, 86511, 43615, 568, 133633, 532, 236234, 236768, 531, 3371, 2780, 532, 13906, 2778, 236761, 138, 108, 7243, 108, 1018, 61192, 47374, 53121, 138, 107, 1018, 236775, 69201, 1034, 833, 163924, 79535, 236787, 669, 8098, 52210, 236858, 236751, 21887, 144095, 833, 52258, 7167, 236775, 1018, 138, 107, 236772, 808, 113172, 833, 52258, 7167, 63508, 95683, 88539, 618, 496, 10795, 236764, 36757, 33563, 529, 5561, 6540, 236761, 138, 108, 24249, 529, 1239, 25843, 119636, 1346, 236881, 1191, 1451, 30091, 653, 6352, 528, 3530, 88539, 70836, 568, 236744, 236761, 236759, 1126, 623, 236828, 594, 17463, 236775, 653, 623, 894, 42359, 236858, 20604, 1373, 573, 19276, 2263, 18434, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 8812, 496, 3399, 2460, 2760, 623, 22945, 6279, 44795, 833, 41025, 15467, 236775, 531, 32545, 2263, 11421, 532, 12556, 2780, 29049, 236761, 564, 1202, 1601, 8159, 116303, 573, 623, 134350, 236775, 600, 2480, 12203, 506, 32163, 236764, 82158, 2778, 529, 1023, 88539, 61182, 236761, 3199, 611, 1161, 506, 3658, 38485, 5904, 531, 1586, 24277, 600, 2597, 919, 24636, 531, 1023, 12960, 236789, 236751, 44249, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 105183, 567, 827, 623, 167900, 827, 623, 21741, 6478, 827, 623, 5088, 4598, 827, 623, 50771, 8060, 827, 623, 131583, 32545, 827, 623, 125355, 1275, 14510, 14255, 623, 3017, 1083, 623, 134350, 827, 623, 6875, 236779, 14210, 1083, 623, 29396, 101864, 36443, 531, 37837, 3399, 236764, 9226, 58542, 236764, 532, 32163, 65733, 32769, 607, 88539, 236789, 236751, 82158, 2778, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 36443, 24277, 600, 12203, 88539, 236789, 236751, 28239, 236764, 3399, 236772, 27612, 7304, 236787, 108, 1018, 8534, 25863, 101864, 53121, 107, 236772, 5213, 10809, 11809, 1018, 568, 2743, 10272, 12960, 21606, 833, 2263, 18434, 236768, 107, 236772, 5213, 56839, 25780, 1018, 568, 6280, 236751, 531, 88539, 236789, 236751, 32286, 14546, 833, 82775, 1353, 2778, 236768, 107, 236772, 5213, 111994, 1275, 15998, 1018, 568, 209668, 1800, 13906, 23060, 833, 2780, 6540, 236768, 107, 236772, 5213, 111534, 12050, 1018, 568, 85416, 5561, 9226, 33862, 236768, 107, 236772, 5213, 178206, 129274, 1018, 568, 139020, 5411, 82158, 8325, 17324, 236768, 108, 9208, 3755, 37837, 78592, 236764, 9226, 21077, 236764, 532, 3399, 13859, 1024, 6635, 623, 134350, 236775, 65733, 236761, 1701, 2591, 236764, 623, 10809, 11809, 236775, 4146, 1388, 573, 11690, 28316, 9766, 236764, 1651, 623, 56839, 25780, 236775, 26818, 7100, 19573, 19575, 236761, 21284, 611, 1133, 1601, 68657, 506, 2460, 1463, 1699, 1239, 236881, 106, 107, 105, 2364, 107, 236777, 2765, 1217, 1239, 3755, 7495, 88539, 236789, 236751, 26761, 236888, 3792, 236789, 236751, 59638, 672, 3342, 236761, 28344, 611, 1601, 786, 11327, 23548, 600, 10916, 14806, 531, 1800, 4252, 808, 624, 236829, 2780, 28968, 236881, 15704, 2613, 600, 59156, 623, 56839, 25780, 236775, 607, 506, 12556, 2780, 7275, 236881, 564, 1461, 29049, 532, 11421, 531, 2597, 672, 563, 808, 42974, 236829, 5552, 236761, 106, 107, 105, 4368, 107, 6481, 236858, 236751, 46176, 4252, 532, 2780, 28968, 236888, 5715, 659, 9578, 23548, 600, 11976, 1800, 4820, 1651, 154509, 3399, 18497, 236787, 108, 236770, 236761, 5213, 236775, 111994, 182832, 15998, 236775, 1018, 138, 107, 139, 236772, 808, 69201, 1034, 236829, 131052, 531, 32286, 89970, 532, 506, 623, 125355, 236775, 529, 1800, 4252, 532, 27249, 236761, 138, 107, 139, 236772, 808, 27601, 236829, 13074, 19399, 15430, 568, 225768, 236786, 96078, 618, 1028, 236772, 906, 3287, 769, 138, 108, 236778, 236761, 5213, 236775, 22945, 6279, 190503, 833, 136299, 16110, 11809, 236775, 1018, 138, 107, 139, 236772, 808, 236799, 3705, 236829, 20756, 12556, 2780, 29049, 236793, 808, 3912, 2139, 236829, 53717, 3892, 4252, 236761, 138, 107, 139, 236772, 808, 10809, 11809, 236829, 113103, 12960, 78592, 236761, 138, 108, 236800, 236761, 5213, 236775, 818, 41025, 6274, 32079, 236775, 1018, 138, 107, 139, 236772, 808, 5010, 236829, 121673, 7659, 18917, 532, 3399, 11740, 236761, 138, 107, 139, 236772, 808, 33032, 236829, 10681, 29049, 532, 11421, 618, 4745, 48663, 236761, 138, 108, 236812, 236761, 5213, 236775, 155351, 833, 7935, 236767, 17845, 25780, 236775, 1018, 138, 107, 139, 236772, 808, 236863, 12151, 236829, 131052, 531, 16627, 236764, 121714, 12556, 2780, 568, 624, 29110, 29119, 26899, 528, 88539, 769, 138, 107, 139, 236772, 808, 56839, 25780, 236829, 15033, 506, 13906, 176223, 44249, 236761, 138, 108, 236810, 236761, 5213, 236775, 69201, 1034, 833, 163924, 79535, 236775, 1018, 138, 107, 139, 236772, 808, 69201, 1034, 236829, 578, 4252, 236858, 236751, 85872, 236793, 808, 9322, 709, 236829, 578, 12556, 2780, 6540, 236761, 138, 107, 139, 236772, 808, 206958, 236829, 58811, 13859, 1024, 36225, 236761, 138, 108, 1018, 61192, 19993, 53121, 138, 107, 1018, 236775, 22945, 6279, 236858, 236751, 8297, 236743, 236828, 900, 236743, 236828, 236775, 1018, 138, 107, 236772, 48693, 506, 22799, 623, 22945, 6279, 8297, 236743, 236770, 236771, 236771, 236775, 16573, 532, 623, 236828, 594, 17463, 2098, 496, 17110, 9226, 47380, 236761, 138, 107, 236772, 808, 236828, 236829, 1451, 147075, 1800, 4252, 568, 24539, 3740, 236768, 532, 2780, 568, 236828, 236772, 13807, 56312, 524, 19292, 69458, 138, 108, 24249, 529, 1239, 11906, 1346, 24636, 531, 822, 10040, 236881, 1191, 1451, 100257, 3342, 653, 1138, 496, 150167, 1133, 165996, 10936, 506, 11796, 5741, 6124, 1599, 1781, 236829, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 8178, 808, 69201, 1034, 833, 163924, 79535, 236829, 506, 1346, 237028, 509, 26960, 506, 31877, 7304, 532, 23948, 1800, 1610, 6667, 3075, 236761, 2024, 1531, 236858, 236751, 7671, 625, 3342, 236761, 28344, 611, 1601, 10946, 496, 150167, 600, 148007, 1131, 88539, 236858, 236751, 4083, 618, 496, 9226, 124422, 236881, 33128, 600, 131052, 531, 506, 8098, 52210, 236858, 236751, 7630, 580, 1023, 2780, 532, 4252, 236881, 15704, 1161, 506, 3658, 623, 11679, 236775, 653, 623, 223420, 236775, 531, 4187, 600, 9338, 236881, 106, 107, 105, 4368, 107, 6481, 236858, 236751, 11976, 506, 8098, 52210, 236858, 236751, 22327, 236888, 5715, 659, 150167, 14485, 600, 4187, 88539, 236858, 236751, 9226, 19549, 531, 506, 9338, 600, 21735, 625, 236787, 108, 7243, 108, 1018, 236770, 236761, 623, 4663, 506, 19109, 529, 129948, 531, 506, 138403, 529, 41025, 236787, 88539, 236858, 236751, 6274, 563, 5833, 236775, 1018, 138, 107, 236772, 808, 6870, 529, 129948, 63508, 48693, 506, 16064, 16412, 532, 52201, 529, 5561, 6540, 236761, 138, 107, 236772, 808, 236794, 89662, 529, 41025, 63508, 220122, 32286, 236786, 125355, 4252, 531, 12556, 2780, 236858, 236751, 83496, 26761, 236761, 138, 107, 236772, 808, 5010, 563, 5833, 63508, 31430, 3705, 55057, 19138, 529, 1800, 1610, 6667, 236761, 138, 108, 1018, 236778, 236761, 623, 22945, 6279, 236858, 236751, 204802, 236787, 10603, 506, 8098, 52210, 236858, 236751, 28917, 5741, 6124, 506, 182832, 236775, 1018, 138, 107, 236772, 808, 21048, 60739, 63508, 27277, 5411, 88539, 618, 496, 5395, 1523, 529, 14105, 28968, 532, 11321, 13862, 236761, 138, 107, 236772, 808, 202880, 5741, 6124, 506, 182832, 63508, 36374, 2780, 568, 143342, 236768, 532, 4252, 568, 43850, 1034, 236768, 531, 72739, 22327, 236761, 138, 108, 1018, 236800, 236761, 623, 216100, 506, 19109, 4695, 236787, 4934, 22616, 85454, 531, 41025, 1275, 190503, 833, 136299, 236775, 1018, 138, 107, 236772, 808, 6870, 4695, 63508, 7666, 10272, 506, 16064, 236858, 236751, 42442, 8633, 532, 9226, 11294, 236761, 138, 107, 236772, 808, 4722, 85454, 63508, 646, 42580, 531, 14105, 38320, 529, 43406, 236786, 200729, 532, 12556, 2780, 102668, 236761, 138, 108, 1018, 236812, 236761, 623, 236776, 11251, 529, 34856, 833, 172665, 236787, 88539, 236858, 236751, 182832, 833, 163924, 77742, 236775, 1018, 138, 107, 236772, 808, 4507, 529, 34856, 63508, 24246, 5411, 506, 16064, 236858, 236751, 4100, 236761, 138, 107, 236772, 808, 142394, 2355, 63508, 150489, 506, 2460, 618, 496, 4882, 3925, 529, 9226, 33862, 236761, 138, 108, 1018, 236810, 236761, 623, 818, 28917, 26152, 121016, 5715, 236787, 10603, 44795, 833, 7935, 236767, 17608, 506, 52210, 236858, 236751, 93203, 236775, 1018, 138, 107, 236772, 808, 202880, 26152, 63508, 562, 50232, 573, 506, 16064, 236858, 236751, 60370, 7630, 236761, 138, 107, 236772, 808, 236863, 12151, 63508, 86511, 43615, 568, 133633, 532, 236234, 236768, 531, 3371, 2780, 532, 13906, 2778, 236761, 138, 108, 7243, 108, 1018, 61192, 47374, 53121, 138, 107, 1018, 236775, 69201, 1034, 833, 163924, 79535, 236787, 669, 8098, 52210, 236858, 236751, 21887, 144095, 833, 52258, 7167, 236775, 1018, 138, 107, 236772, 808, 113172, 833, 52258, 7167, 63508, 95683, 88539, 618, 496, 10795, 236764, 36757, 33563, 529, 5561, 6540, 236761, 138, 108, 24249, 529, 1239, 25843, 119636, 1346, 236881, 1191, 1451, 30091, 653, 6352, 528, 3530, 88539, 70836, 568, 236744, 236761, 236759, 1126, 623, 236828, 594, 17463, 236775, 653, 623, 894, 42359, 236858, 20604, 1373, 573, 19276, 2263, 18434, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 506, 1791, 10293, 72378, 532, 9295, 32583, 573, 1041, 30336, 6485, 236761, 5315, 236764, 1451, 611, 1407, 786, 506, 1903, 236772, 5909, 12669, 4596, 531, 49115, 532, 17861, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 38101, 506, 1447, 3336, 1680, 35129, 573, 3530, 3211, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 547, 1083, 623, 36196, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 105411, 3999, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236770, 236770, 827, 623, 1201, 1083, 623, 150008, 80751, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236770, 236770, 236776, 827, 623, 1201, 1083, 623, 99969, 176240, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236770, 236799, 827, 623, 1201, 1083, 623, 10423, 502, 46148, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236770, 236780, 827, 623, 1201, 1083, 623, 46065, 4873, 236775, 200808, 3714, 547, 1083, 623, 46303, 236771, 236770, 236778, 827, 623, 1201, 1083, 623, 182419, 543, 19804, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236770, 236778, 236776, 827, 623, 1201, 1083, 623, 99969, 107051, 19804, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236778, 236799, 827, 623, 1201, 1083, 623, 103185, 107051, 19804, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236778, 236780, 827, 623, 1201, 1083, 623, 73919, 1153, 107051, 19804, 236775, 15947, 200808, 3714, 547, 1083, 623, 36196, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 114027, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236778, 236770, 827, 623, 1201, 1083, 623, 102841, 37854, 23179, 3714, 547, 1083, 623, 46303, 236771, 236778, 236778, 827, 623, 1201, 1083, 623, 150008, 5554, 236775, 15947, 104960, 623, 53298, 1083, 3714, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236772, 5909, 12669, 4596, 531, 49115, 532, 17861, 236787, 108, 1018, 105411, 3999, 1018, 178829, 138, 107, 236772, 5213, 150008, 80751, 1018, 138, 107, 138, 236772, 37330, 176240, 138, 107, 138, 236772, 4472, 502, 46148, 138, 107, 138, 236772, 21748, 4873, 138, 107, 236772, 5213, 182419, 543, 19804, 1018, 138, 107, 138, 236772, 37330, 107051, 19804, 46260, 63914, 573, 29979, 236888, 12016, 138, 107, 138, 236772, 44094, 107051, 19804, 138, 107, 138, 236772, 22612, 1153, 107051, 19804, 138, 108, 1018, 114027, 1018, 236743, 248265, 138, 107, 236772, 68660, 37854, 138, 107, 236772, 48196, 5554, 138, 108, 2542, 822, 30336, 6485, 236764, 564, 236858, 236753, 5840, 19541, 580, 5213, 99969, 107051, 19804, 1018, 568, 6460, 166858, 1890, 107051, 19804, 236768, 532, 5213, 150008, 80751, 1018, 1133, 44166, 653, 12780, 4873, 531, 4006, 9295, 3325, 236761, 21284, 611, 1133, 786, 531, 1407, 3530, 3211, 528, 1239, 1159, 27975, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 506, 37330, 107051, 19804, 8038, 1208, 166858, 236761, 28344, 611, 33205, 506, 1698, 38332, 993, 236881, 36702, 1091, 684, 5602, 24074, 532, 1407, 786, 506, 1903, 236743, 236810, 3835, 9273, 573, 30336, 6485, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 152312, 63899, 37330, 200933, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 204712, 27603, 69201, 32173, 37330, 99603, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 147716, 152312, 15748, 10353, 827, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236778, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236812, 827, 623, 1201, 1083, 623, 99969, 96294, 28406, 827, 623, 9707, 1083, 236743, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 26834, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 1558, 3274, 89958, 96294, 32837, 827, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236771, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 56905, 1083, 623, 902, 13827, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236764, 623, 4002, 236779, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 10293, 72378, 573, 30336, 6485, 236764, 19372, 684, 5602, 24074, 236787, 108, 236770, 236761, 5213, 152312, 63899, 37330, 200933, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236828, 1109, 609, 236770, 236812, 236761, 236819, 236819, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 19952, 8126, 573, 57783, 30336, 3877, 532, 6422, 9603, 108, 236778, 236761, 5213, 204712, 27603, 69201, 32173, 37330, 99603, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 1109, 609, 236770, 236778, 236761, 236810, 236771, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 230879, 28935, 573, 7644, 30336, 6485, 532, 9295, 9603, 108, 236800, 236761, 5213, 147716, 152312, 15748, 10353, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236825, 1109, 609, 236770, 236828, 236761, 236778, 236810, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 147716, 236772, 18865, 6581, 607, 5111, 236772, 18381, 28935, 9603, 108, 236812, 236761, 5213, 99969, 96294, 28406, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 1109, 609, 236819, 236761, 236819, 236819, 1109, 236743, 195096, 14533, 13827, 138, 107, 139, 236829, 71653, 236772, 18865, 5086, 607, 14810, 2536, 9603, 108, 236810, 236761, 5213, 1558, 3274, 89958, 96294, 32837, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236812, 1109, 609, 236778, 236778, 236761, 236771, 236771, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 107332, 5313, 573, 125415, 9295, 10916, 573, 29979, 9603, 108, 3243, 3211, 659, 10293, 532, 6112, 25118, 236764, 840, 5213, 152312, 63899, 1018, 532, 5213, 204712, 27603, 69201, 1018, 1975, 855, 573, 3385, 532, 3736, 236761, 3656, 4188, 14083, 99969, 96294, 28406, 17616, 563, 2708, 2862, 236764, 834, 1134, 6077, 768, 7467, 236761, 21284, 611, 1133, 531, 11327, 919, 3835, 568, 17870, 236743, 236825, 236772, 236770, 236771, 236768, 653, 1460, 4889, 1003, 1027, 529, 1239, 236881, 236743, 242507, 106, 107, 105, 2364, 107, 30092, 611, 33205, 3211, 236743, 236825, 236772, 236770, 236771, 699, 506, 37330, 107051, 19804, 8038, 236881, 564, 236858, 236753, 1133, 531, 10769, 919, 3835, 1680, 32271, 236764, 4285, 2338, 886, 529, 506, 1903, 236743, 236810, 563, 2708, 528, 2862, 236761, 6542, 236764, 659, 993, 1027, 3211, 528, 672, 8038, 10916, 26777, 618, 756, 165883, 236772, 12977, 236789, 653, 756, 48617, 525, 9295, 236772, 18865, 103709, 3551, 7972, 815, 8427, 52108, 9295, 236764, 834, 564, 1202, 2613, 600, 41131, 21708, 1651, 113232, 506, 6485, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236825, 827, 623, 1201, 1083, 623, 152312, 63899, 37330, 200933, 827, 623, 7777, 1083, 623, 13238, 236772, 14221, 27205, 22064, 35813, 573, 30336, 6485, 827, 623, 15991, 1083, 11058, 165883, 236772, 12977, 827, 623, 22971, 236772, 45258, 14255, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236819, 236764, 623, 14973, 1083, 236743, 236812, 236778, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236832, 827, 623, 1201, 1083, 623, 92825, 236772, 26462, 48196, 150006, 827, 623, 7777, 1083, 623, 229076, 556, 236772, 5140, 6581, 573, 4920, 236772, 86463, 6485, 827, 623, 15991, 1083, 11058, 48617, 525, 9295, 236772, 18865, 827, 623, 34791, 236772, 94636, 14255, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 14973, 1083, 236743, 236770, 236810, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236828, 827, 623, 1201, 1083, 623, 3243, 236772, 72655, 176240, 29785, 827, 623, 7777, 1083, 623, 230879, 646, 32436, 7232, 573, 2870, 49115, 827, 623, 15991, 1083, 11058, 81958, 236772, 1930, 827, 623, 41255, 236772, 18865, 14255, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236810, 236764, 623, 14973, 1083, 236743, 236828, 236828, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236819, 827, 623, 1201, 1083, 623, 22971, 236772, 25846, 200933, 827, 623, 7777, 1083, 623, 203724, 44844, 236772, 167367, 22064, 573, 52108, 34755, 827, 623, 15991, 1083, 11058, 22971, 236772, 35277, 522, 827, 623, 1574, 25980, 236772, 49156, 14255, 623, 9707, 1083, 236743, 236770, 236819, 236761, 236832, 236810, 236764, 623, 14973, 1083, 236743, 236778, 236832, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236770, 236771, 827, 623, 1201, 1083, 623, 57295, 833, 33438, 10624, 827, 623, 7777, 1083, 623, 146349, 22315, 236772, 9705, 6581, 573, 49339, 6485, 827, 623, 15991, 1083, 11058, 21888, 236772, 157484, 827, 623, 52807, 236772, 18381, 14255, 623, 9707, 1083, 236743, 236770, 236825, 236761, 236819, 236819, 236764, 623, 14973, 1083, 236743, 236810, 236800, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236764, 623, 10617, 1083, 236743, 236810, 236764, 623, 17846, 1083, 236743, 236810, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 3211, 236743, 236825, 236772, 236770, 236771, 699, 506, 37330, 107051, 19804, 8038, 236764, 3008, 607, 2307, 4889, 573, 822, 52108, 9295, 3548, 236787, 108, 1018, 22567, 236743, 236825, 236772, 236770, 236771, 1018, 138, 107, 236825, 236761, 5213, 152312, 63899, 37330, 200933, 1018, 138, 107, 139, 248765, 808, 165883, 236772, 12977, 236764, 21708, 236772, 45258, 236829, 1109, 236743, 244314, 609, 236770, 236828, 236761, 236819, 236819, 1109, 236743, 249642, 236743, 236812, 236778, 528, 2862, 138, 107, 139, 236829, 13238, 236772, 14221, 27205, 22064, 35813, 573, 30336, 6485, 236829, 138, 108, 236832, 236761, 5213, 92825, 236772, 26462, 48196, 150006, 1018, 138, 107, 139, 248765, 808, 48617, 525, 9295, 236772, 18865, 236764, 10293, 236772, 94636, 236829, 1109, 236743, 244314, 609, 236778, 236778, 236761, 236810, 236771, 1109, 236743, 249642, 236743, 236770, 236810, 528, 2862, 138, 107, 139, 236829, 229076, 556, 236772, 5140, 6581, 573, 4920, 236772, 86463, 6485, 568, 46052, 1601, 7002, 52108, 9295, 12016, 138, 108, 236828, 236761, 5213, 3243, 236772, 72655, 176240, 29785, 1018, 138, 107, 139, 248765, 808, 81958, 236772, 1930, 236764, 28597, 236772, 18865, 236829, 1109, 236743, 244314, 609, 236770, 236812, 236761, 236819, 236810, 1109, 236743, 249642, 236743, 236828, 236828, 528, 2862, 138, 107, 139, 236829, 230879, 646, 32436, 7232, 573, 2870, 49115, 236829, 138, 108, 236819, 236761, 5213, 22971, 236772, 25846, 200933, 1018, 138, 107, 139, 248765, 808, 22971, 236772, 35277, 522, 236764, 52108, 236772, 49156, 236829, 1109, 236743, 244314, 609, 236770, 236819, 236761, 236832, 236810, 1109, 236743, 249642, 236743, 236778, 236832, 528, 2862, 138, 107, 139, 236829, 203724, 44844, 236772, 167367, 22064, 10916, 573, 52108, 34755, 236829, 138, 108, 236770, 236771, 236761, 5213, 57295, 833, 33438, 10624, 1018, 138, 107, 139, 248765, 808, 21888, 236772, 157484, 236764, 5111, 236772, 18381, 236829, 1109, 236743, 244314, 609, 236770, 236825, 236761, 236819, 236819, 1109, 236743, 249642, 236743, 236810, 236800, 528, 2862, 138, 107, 139, 236829, 146349, 22315, 236772, 9705, 6581, 573, 49339, 6485, 568, 1933, 30336, 236772, 15396, 12016, 138, 108, 7243, 108, 1018, 3503, 145918, 573, 5180, 59017, 1018, 138, 107, 240732, 5213, 152312, 236772, 12977, 66515, 7303, 997, 236825, 568, 152312, 63899, 236768, 25010, 26777, 573, 29979, 236761, 138, 107, 240732, 5213, 2368, 24653, 688, 48196, 236772, 83899, 66515, 7303, 997, 236819, 568, 22971, 236772, 25846, 236768, 563, 5402, 573, 52108, 34755, 236761, 138, 107, 240732, 5213, 150008, 89282, 19993, 66515, 7303, 997, 236832, 568, 92825, 236772, 26462, 236768, 1451, 1601, 3718, 21708, 768, 4354, 236761, 138, 108, 7163, 997, 236819, 14083, 22971, 236772, 25846, 200933, 17616, 563, 506, 1346, 36443, 573, 822, 52108, 9295, 236764, 1651, 997, 236825, 14083, 152312, 63899, 17616, 532, 997, 236832, 14083, 92825, 236772, 26462, 17616, 2729, 39435, 6417, 236761, 5450, 529, 1239, 3211, 659, 2708, 2862, 236761, 21284, 611, 1133, 4889, 1003, 1027, 529, 1239, 3530, 4852, 236881, 178829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 506, 1791, 10293, 72378, 532, 9295, 32583, 573, 1041, 30336, 6485, 236761, 5315, 236764, 1451, 611, 1407, 786, 506, 1903, 236772, 5909, 12669, 4596, 531, 49115, 532, 17861, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 38101, 506, 1447, 3336, 1680, 35129, 573, 3530, 3211, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 547, 1083, 623, 36196, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 105411, 3999, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236770, 236770, 827, 623, 1201, 1083, 623, 150008, 80751, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236770, 236770, 236776, 827, 623, 1201, 1083, 623, 99969, 176240, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236770, 236799, 827, 623, 1201, 1083, 623, 10423, 502, 46148, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236770, 236780, 827, 623, 1201, 1083, 623, 46065, 4873, 236775, 200808, 3714, 547, 1083, 623, 46303, 236771, 236770, 236778, 827, 623, 1201, 1083, 623, 182419, 543, 19804, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236770, 236778, 236776, 827, 623, 1201, 1083, 623, 99969, 107051, 19804, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236778, 236799, 827, 623, 1201, 1083, 623, 103185, 107051, 19804, 23179, 3714, 547, 1083, 623, 46303, 236771, 236770, 236778, 236780, 827, 623, 1201, 1083, 623, 73919, 1153, 107051, 19804, 236775, 15947, 200808, 3714, 547, 1083, 623, 36196, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 114027, 827, 623, 2204, 27975, 1083, 78493, 547, 1083, 623, 46303, 236771, 236778, 236770, 827, 623, 1201, 1083, 623, 102841, 37854, 23179, 3714, 547, 1083, 623, 46303, 236771, 236778, 236778, 827, 623, 1201, 1083, 623, 150008, 5554, 236775, 15947, 104960, 623, 53298, 1083, 3714, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236772, 5909, 12669, 4596, 531, 49115, 532, 17861, 236787, 108, 1018, 105411, 3999, 1018, 178829, 138, 107, 236772, 5213, 150008, 80751, 1018, 138, 107, 138, 236772, 37330, 176240, 138, 107, 138, 236772, 4472, 502, 46148, 138, 107, 138, 236772, 21748, 4873, 138, 107, 236772, 5213, 182419, 543, 19804, 1018, 138, 107, 138, 236772, 37330, 107051, 19804, 46260, 63914, 573, 29979, 236888, 12016, 138, 107, 138, 236772, 44094, 107051, 19804, 138, 107, 138, 236772, 22612, 1153, 107051, 19804, 138, 108, 1018, 114027, 1018, 236743, 248265, 138, 107, 236772, 68660, 37854, 138, 107, 236772, 48196, 5554, 138, 108, 2542, 822, 30336, 6485, 236764, 564, 236858, 236753, 5840, 19541, 580, 5213, 99969, 107051, 19804, 1018, 568, 6460, 166858, 1890, 107051, 19804, 236768, 532, 5213, 150008, 80751, 1018, 1133, 44166, 653, 12780, 4873, 531, 4006, 9295, 3325, 236761, 21284, 611, 1133, 786, 531, 1407, 3530, 3211, 528, 1239, 1159, 27975, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 506, 37330, 107051, 19804, 8038, 1208, 166858, 236761, 28344, 611, 33205, 506, 1698, 38332, 993, 236881, 36702, 1091, 684, 5602, 24074, 532, 1407, 786, 506, 1903, 236743, 236810, 3835, 9273, 573, 30336, 6485, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 152312, 63899, 37330, 200933, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 204712, 27603, 69201, 32173, 37330, 99603, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 147716, 152312, 15748, 10353, 827, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236778, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236812, 827, 623, 1201, 1083, 623, 99969, 96294, 28406, 827, 623, 9707, 1083, 236743, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 26834, 13827, 23179, 3714, 547, 1083, 623, 6664, 236796, 236770, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 1558, 3274, 89958, 96294, 32837, 827, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236771, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 56905, 1083, 623, 902, 13827, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236764, 623, 4002, 236779, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 10293, 72378, 573, 30336, 6485, 236764, 19372, 684, 5602, 24074, 236787, 108, 236770, 236761, 5213, 152312, 63899, 37330, 200933, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236828, 1109, 609, 236770, 236812, 236761, 236819, 236819, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 19952, 8126, 573, 57783, 30336, 3877, 532, 6422, 9603, 108, 236778, 236761, 5213, 204712, 27603, 69201, 32173, 37330, 99603, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 1109, 609, 236770, 236778, 236761, 236810, 236771, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 230879, 28935, 573, 7644, 30336, 6485, 532, 9295, 9603, 108, 236800, 236761, 5213, 147716, 152312, 15748, 10353, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236825, 1109, 609, 236770, 236828, 236761, 236778, 236810, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 147716, 236772, 18865, 6581, 607, 5111, 236772, 18381, 28935, 9603, 108, 236812, 236761, 5213, 99969, 96294, 28406, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 1109, 609, 236819, 236761, 236819, 236819, 1109, 236743, 195096, 14533, 13827, 138, 107, 139, 236829, 71653, 236772, 18865, 5086, 607, 14810, 2536, 9603, 108, 236810, 236761, 5213, 1558, 3274, 89958, 96294, 32837, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236812, 1109, 609, 236778, 236778, 236761, 236771, 236771, 1109, 236743, 249642, 799, 13827, 138, 107, 139, 236829, 107332, 5313, 573, 125415, 9295, 10916, 573, 29979, 9603, 108, 3243, 3211, 659, 10293, 532, 6112, 25118, 236764, 840, 5213, 152312, 63899, 1018, 532, 5213, 204712, 27603, 69201, 1018, 1975, 855, 573, 3385, 532, 3736, 236761, 3656, 4188, 14083, 99969, 96294, 28406, 17616, 563, 2708, 2862, 236764, 834, 1134, 6077, 768, 7467, 236761, 21284, 611, 1133, 531, 11327, 919, 3835, 568, 17870, 236743, 236825, 236772, 236770, 236771, 236768, 653, 1460, 4889, 1003, 1027, 529, 1239, 236881, 236743, 242507, 106, 107, 105, 2364, 107, 30092, 611, 33205, 3211, 236743, 236825, 236772, 236770, 236771, 699, 506, 37330, 107051, 19804, 8038, 236881, 564, 236858, 236753, 1133, 531, 10769, 919, 3835, 1680, 32271, 236764, 4285, 2338, 886, 529, 506, 1903, 236743, 236810, 563, 2708, 528, 2862, 236761, 6542, 236764, 659, 993, 1027, 3211, 528, 672, 8038, 10916, 26777, 618, 756, 165883, 236772, 12977, 236789, 653, 756, 48617, 525, 9295, 236772, 18865, 103709, 3551, 7972, 815, 8427, 52108, 9295, 236764, 834, 564, 1202, 2613, 600, 41131, 21708, 1651, 113232, 506, 6485, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236825, 827, 623, 1201, 1083, 623, 152312, 63899, 37330, 200933, 827, 623, 7777, 1083, 623, 13238, 236772, 14221, 27205, 22064, 35813, 573, 30336, 6485, 827, 623, 15991, 1083, 11058, 165883, 236772, 12977, 827, 623, 22971, 236772, 45258, 14255, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236819, 236764, 623, 14973, 1083, 236743, 236812, 236778, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236832, 827, 623, 1201, 1083, 623, 92825, 236772, 26462, 48196, 150006, 827, 623, 7777, 1083, 623, 229076, 556, 236772, 5140, 6581, 573, 4920, 236772, 86463, 6485, 827, 623, 15991, 1083, 11058, 48617, 525, 9295, 236772, 18865, 827, 623, 34791, 236772, 94636, 14255, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 14973, 1083, 236743, 236770, 236810, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236828, 827, 623, 1201, 1083, 623, 3243, 236772, 72655, 176240, 29785, 827, 623, 7777, 1083, 623, 230879, 646, 32436, 7232, 573, 2870, 49115, 827, 623, 15991, 1083, 11058, 81958, 236772, 1930, 827, 623, 41255, 236772, 18865, 14255, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236810, 236764, 623, 14973, 1083, 236743, 236828, 236828, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236771, 236819, 827, 623, 1201, 1083, 623, 22971, 236772, 25846, 200933, 827, 623, 7777, 1083, 623, 203724, 44844, 236772, 167367, 22064, 573, 52108, 34755, 827, 623, 15991, 1083, 11058, 22971, 236772, 35277, 522, 827, 623, 1574, 25980, 236772, 49156, 14255, 623, 9707, 1083, 236743, 236770, 236819, 236761, 236832, 236810, 236764, 623, 14973, 1083, 236743, 236778, 236832, 1263, 3714, 547, 1083, 623, 10563, 236774, 236772, 236771, 236770, 236771, 827, 623, 1201, 1083, 623, 57295, 833, 33438, 10624, 827, 623, 7777, 1083, 623, 146349, 22315, 236772, 9705, 6581, 573, 49339, 6485, 827, 623, 15991, 1083, 11058, 21888, 236772, 157484, 827, 623, 52807, 236772, 18381, 14255, 623, 9707, 1083, 236743, 236770, 236825, 236761, 236819, 236819, 236764, 623, 14973, 1083, 236743, 236810, 236800, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236764, 623, 10617, 1083, 236743, 236810, 236764, 623, 17846, 1083, 236743, 236810, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 3211, 236743, 236825, 236772, 236770, 236771, 699, 506, 37330, 107051, 19804, 8038, 236764, 3008, 607, 2307, 4889, 573, 822, 52108, 9295, 3548, 236787, 108, 1018, 22567, 236743, 236825, 236772, 236770, 236771, 1018, 138, 107, 236825, 236761, 5213, 152312, 63899, 37330, 200933, 1018, 138, 107, 139, 248765, 808, 165883, 236772, 12977, 236764, 21708, 236772, 45258, 236829, 1109, 236743, 244314, 609, 236770, 236828, 236761, 236819, 236819, 1109, 236743, 249642, 236743, 236812, 236778, 528, 2862, 138, 107, 139, 236829, 13238, 236772, 14221, 27205, 22064, 35813, 573, 30336, 6485, 236829, 138, 108, 236832, 236761, 5213, 92825, 236772, 26462, 48196, 150006, 1018, 138, 107, 139, 248765, 808, 48617, 525, 9295, 236772, 18865, 236764, 10293, 236772, 94636, 236829, 1109, 236743, 244314, 609, 236778, 236778, 236761, 236810, 236771, 1109, 236743, 249642, 236743, 236770, 236810, 528, 2862, 138, 107, 139, 236829, 229076, 556, 236772, 5140, 6581, 573, 4920, 236772, 86463, 6485, 568, 46052, 1601, 7002, 52108, 9295, 12016, 138, 108, 236828, 236761, 5213, 3243, 236772, 72655, 176240, 29785, 1018, 138, 107, 139, 248765, 808, 81958, 236772, 1930, 236764, 28597, 236772, 18865, 236829, 1109, 236743, 244314, 609, 236770, 236812, 236761, 236819, 236810, 1109, 236743, 249642, 236743, 236828, 236828, 528, 2862, 138, 107, 139, 236829, 230879, 646, 32436, 7232, 573, 2870, 49115, 236829, 138, 108, 236819, 236761, 5213, 22971, 236772, 25846, 200933, 1018, 138, 107, 139, 248765, 808, 22971, 236772, 35277, 522, 236764, 52108, 236772, 49156, 236829, 1109, 236743, 244314, 609, 236770, 236819, 236761, 236832, 236810, 1109, 236743, 249642, 236743, 236778, 236832, 528, 2862, 138, 107, 139, 236829, 203724, 44844, 236772, 167367, 22064, 10916, 573, 52108, 34755, 236829, 138, 108, 236770, 236771, 236761, 5213, 57295, 833, 33438, 10624, 1018, 138, 107, 139, 248765, 808, 21888, 236772, 157484, 236764, 5111, 236772, 18381, 236829, 1109, 236743, 244314, 609, 236770, 236825, 236761, 236819, 236819, 1109, 236743, 249642, 236743, 236810, 236800, 528, 2862, 138, 107, 139, 236829, 146349, 22315, 236772, 9705, 6581, 573, 49339, 6485, 568, 1933, 30336, 236772, 15396, 12016, 138, 108, 7243, 108, 1018, 3503, 145918, 573, 5180, 59017, 1018, 138, 107, 240732, 5213, 152312, 236772, 12977, 66515, 7303, 997, 236825, 568, 152312, 63899, 236768, 25010, 26777, 573, 29979, 236761, 138, 107, 240732, 5213, 2368, 24653, 688, 48196, 236772, 83899, 66515, 7303, 997, 236819, 568, 22971, 236772, 25846, 236768, 563, 5402, 573, 52108, 34755, 236761, 138, 107, 240732, 5213, 150008, 89282, 19993, 66515, 7303, 997, 236832, 568, 92825, 236772, 26462, 236768, 1451, 1601, 3718, 21708, 768, 4354, 236761, 138, 108, 7163, 997, 236819, 14083, 22971, 236772, 25846, 200933, 17616, 563, 506, 1346, 36443, 573, 822, 52108, 9295, 236764, 1651, 997, 236825, 14083, 152312, 63899, 17616, 532, 997, 236832, 14083, 92825, 236772, 26462, 17616, 2729, 39435, 6417, 236761, 5450, 529, 1239, 3211, 659, 2708, 2862, 236761, 21284, 611, 1133, 4889, 1003, 1027, 529, 1239, 3530, 4852, 236881, 178829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1502, 496, 3399, 17358, 531, 1894, 29121, 114988, 7010, 528, 15786, 236764, 840, 564, 1202, 531, 3371, 607, 2263, 44073, 532, 9780, 1171, 236761, 3199, 611, 1601, 786, 1586, 3435, 85505, 1343, 76891, 236881, 9187, 684, 19460, 637, 236786, 94298, 532, 637, 236786, 142891, 72199, 81233, 573, 18701, 1003, 186533, 6607, 532, 35652, 7880, 528, 506, 3068, 236743, 236825, 3794, 236761, 1637, 611, 1586, 18661, 1082, 236743, 236770, 236771, 5158, 11383, 528, 1724, 25843, 236764, 6778, 506, 3927, 531, 3204, 637, 236786, 30222, 9004, 532, 637, 236786, 167860, 81233, 236761, 1701, 1546, 2080, 611, 8701, 236764, 5433, 910, 15345, 236764, 506, 3530, 6607, 901, 4928, 236764, 532, 1027, 31459, 126853, 901, 1694, 528, 910, 8781, 236761, 22282, 77372, 5089, 1015, 236789, 560, 12551, 653, 32561, 657, 3198, 236743, 236810, 2782, 1003, 15786, 236772, 15396, 19898, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 148778, 1083, 78493, 11668, 1083, 623, 12154, 72199, 23423, 33345, 827, 623, 110639, 236779, 31125, 1083, 11058, 114476, 1276, 8482, 6022, 827, 623, 94298, 179151, 1276, 8482, 40434, 14255, 623, 117105, 1353, 236779, 103832, 1083, 623, 94298, 28553, 45179, 23179, 3714, 11668, 1083, 623, 81233, 12154, 827, 623, 110639, 236779, 31125, 1083, 11058, 31403, 113996, 1348, 5796, 74616, 6824, 827, 623, 12400, 61589, 27790, 29067, 14255, 623, 117105, 1353, 236779, 103832, 1083, 623, 142891, 14340, 12329, 53431, 23179, 3714, 11668, 1083, 623, 30222, 9004, 902, 12154, 827, 623, 110639, 236779, 31125, 1083, 11058, 224157, 15786, 1276, 8482, 10981, 827, 623, 12154, 81689, 6824, 14255, 623, 117105, 1353, 236779, 103832, 1083, 623, 94298, 8096, 529, 8779, 39049, 25938, 1604, 623, 6725, 236779, 5034, 236779, 103088, 1083, 236743, 236770, 236778, 236764, 623, 2204, 125191, 1258, 236779, 158365, 3059, 1083, 11058, 94298, 827, 623, 142891, 72199, 81233, 14255, 623, 29449, 236779, 158365, 3059, 1083, 623, 500, 8482, 6607, 532, 35652, 7880, 528, 15786, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 3435, 85505, 8385, 699, 76891, 18701, 1003, 15786, 186533, 6607, 236787, 108, 1018, 22995, 12808, 17647, 568, 236750, 236786, 94298, 833, 637, 236786, 142891, 72199, 81233, 1473, 1018, 107, 236772, 5213, 9640, 23531, 60624, 53121, 236743, 236770, 236778, 568, 34436, 1645, 236793, 951, 1202, 531, 6778, 1159, 125191, 1258, 236768, 107, 236772, 5213, 130428, 121206, 53121, 107, 138, 236770, 236761, 5213, 12154, 72199, 23423, 33345, 1018, 107, 141, 236772, 41327, 236787, 26217, 1276, 8482, 6022, 236764, 15786, 179151, 1276, 8482, 40434, 107, 141, 236772, 12321, 28613, 236787, 15786, 28553, 45179, 107, 138, 236778, 236761, 5213, 81233, 12154, 1018, 107, 141, 236772, 41327, 236787, 15141, 113996, 1348, 5796, 74616, 6824, 236764, 9674, 61589, 27790, 29067, 107, 141, 236772, 12321, 28613, 236787, 32264, 14340, 12329, 53431, 107, 138, 236800, 236761, 5213, 30222, 9004, 902, 12154, 1018, 107, 141, 236772, 41327, 236787, 38784, 15786, 1276, 8482, 10981, 236764, 29067, 81689, 6824, 107, 141, 236772, 12321, 28613, 236787, 15786, 8096, 529, 8779, 39049, 108, 3243, 9025, 735, 5158, 54949, 529, 57846, 236810, 12714, 236786, 26329, 1003, 15786, 236772, 15396, 19898, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 84567, 506, 3927, 531, 3204, 637, 236786, 30222, 9004, 532, 637, 236786, 167860, 81233, 573, 4767, 9025, 236881, 107, 236778, 236761, 39525, 14984, 580, 1217, 531, 4313, 1239, 5089, 573, 13859, 236881, 107, 236800, 236761, 114815, 496, 1694, 529, 506, 3530, 6607, 6950, 573, 3342, 2958, 236881, 106, 107, 105, 2364, 107, 27407, 496, 1694, 529, 506, 3530, 6607, 6950, 573, 3342, 2958, 236764, 2440, 236787, 753, 26217, 1276, 8482, 6022, 753, 15786, 179151, 1276, 8482, 40434, 753, 15141, 113996, 1348, 5796, 74616, 6824, 753, 9674, 61589, 27790, 29067, 753, 38784, 15786, 1276, 8482, 10981, 753, 29067, 81689, 6824, 1701, 1546, 1948, 236764, 8701, 236787, 236743, 236770, 236761, 73888, 3213, 568, 13319, 236786, 78660, 528, 15786, 236768, 236743, 236778, 236761, 9533, 3019, 8375, 568, 236744, 236761, 236759, 1126, 11132, 236764, 3195, 4122, 236764, 9069, 2404, 1894, 236768, 236743, 236800, 236761, 68542, 7021, 568, 36379, 24027, 236764, 38911, 33000, 236764, 4044, 2907, 236743, 236812, 236761, 34980, 12496, 653, 8991, 6950, 528, 76891, 18701, 1174, 795, 1601, 786, 3050, 6330, 28893, 532, 7760, 1680, 17154, 855, 531, 506, 44073, 5467, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 33205, 9813, 1948, 1938, 568, 234863, 3213, 236764, 3019, 236764, 11213, 7021, 236764, 653, 76891, 8699, 4889, 236768, 1699, 506, 1873, 6436, 236761, 669, 5213, 44183, 236779, 40227, 236779, 37223, 1018, 5904, 1186, 38905, 2430, 9025, 532, 910, 5143, 6607, 236786, 2806, 174904, 840, 4038, 236789, 236745, 2847, 1948, 236772, 15396, 1262, 236761, 108, 2021, 7162, 236764, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 26922, 506, 76891, 20183, 529, 506, 8385, 9025, 568, 236744, 236761, 236759, 1126, 559, 236786, 12154, 72199, 23423, 33345, 236768, 531, 3540, 910, 12714, 236786, 26329, 573, 4889, 1003, 506, 6607, 901, 6950, 236761, 107, 236778, 236761, 12808, 5125, 17909, 529, 506, 9456, 9780, 568, 236744, 236761, 236759, 1126, 15786, 28553, 45179, 236764, 32264, 14340, 12329, 53431, 236768, 573, 1948, 72320, 236761, 107, 236800, 236761, 6890, 8398, 5405, 1133, 506, 15786, 5570, 529, 119361, 236858, 186533, 12229, 653, 38911, 34438, 573, 11213, 532, 2509, 1938, 236761, 108, 38786, 611, 1133, 786, 531, 8214, 611, 1343, 68632, 20054, 4137, 531, 2679, 1239, 9025, 5467, 236764, 653, 1093, 611, 5278, 1601, 66582, 496, 3618, 531, 2864, 672, 1938, 699, 506, 76891, 5089, 236881, 106, 107, 105, 2364, 107, 28368, 786, 12262, 496, 3618, 531, 2864, 672, 1938, 699, 506, 76891, 5089, 5467, 236761, 669, 3618, 1374, 577, 5707, 3819, 139445, 236764, 8207, 29354, 1041, 5708, 618, 496, 15786, 236772, 5140, 38565, 10095, 23021, 531, 41049, 580, 186533, 19898, 236764, 532, 49643, 506, 4453, 1948, 4889, 564, 1202, 568, 234863, 3213, 236764, 3019, 8375, 236764, 11213, 7021, 236764, 532, 1027, 8991, 901, 236789, 560, 6950, 769, 17608, 625, 63510, 840, 13868, 3487, 531, 96442, 9813, 13630, 236761, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 5707, 3819, 117516, 3618, 7930, 611, 740, 1161, 531, 3662, 506, 76891, 5089, 5467, 236787, 108, 7243, 108, 1018, 21288, 53121, 67653, 56802, 573, 15786, 1276, 8482, 41327, 138, 108, 10979, 870, 29338, 1604, 138, 108, 4754, 1463, 563, 870, 11069, 7343, 1604, 532, 564, 236858, 236757, 496, 38565, 10095, 607, 506, 870, 94298, 5570, 529, 119361, 236786, 17993, 10345, 1604, 5633, 2844, 580, 3399, 236772, 991, 186533, 19898, 573, 29121, 114988, 7010, 528, 15786, 236761, 564, 3588, 3418, 822, 4803, 12714, 236786, 26329, 528, 637, 236786, 94298, 532, 637, 236786, 142891, 72199, 81233, 1003, 870, 109219, 3530, 1948, 236769, 236751, 236768, 901, 9456, 236764, 545, 236761, 236759, 1126, 623, 114476, 1276, 8482, 6022, 236775, 653, 623, 224157, 15786, 1276, 8482, 10981, 1935, 532, 1093, 2765, 531, 3371, 236761, 138, 108, 236777, 236858, 236757, 96085, 1938, 531, 2480, 3050, 6330, 6607, 532, 8701, 28893, 528, 3019, 236761, 1637, 611, 236858, 500, 1932, 531, 625, 236764, 1451, 611, 4024, 236787, 138, 107, 236770, 236761, 5213, 8551, 9814, 3213, 1018, 568, 236744, 236761, 236759, 1126, 3207, 236786, 78660, 7779, 20625, 138, 107, 236778, 236761, 5213, 3503, 3019, 1018, 568, 57454, 236764, 3195, 4122, 236764, 9069, 2404, 1894, 236764, 4044, 2907, 236881, 138, 107, 236800, 236761, 5213, 90147, 7021, 1018, 568, 36379, 24027, 236764, 111880, 236764, 33000, 20625, 138, 107, 236812, 236761, 7129, 5213, 43852, 12496, 653, 8991, 1018, 611, 236858, 560, 6950, 528, 76891, 18701, 236881, 138, 108, 2094, 795, 1601, 786, 41049, 919, 11974, 607, 44073, 1133, 611, 531, 13878, 186533, 1894, 3797, 236761, 564, 236858, 236757, 5293, 531, 4024, 1041, 12396, 653, 3249, 6549, 573, 7600, 7880, 236761, 138, 108, 12879, 573, 822, 990, 237028, 236777, 236858, 236753, 14756, 496, 3072, 684, 870, 1896, 236764, 2578, 236770, 2069, 699, 5039, 236842, 768, 2653, 236761, 43213, 2196, 531, 5370, 855, 607, 1027, 4137, 236888, 138, 108, 17043, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 17310, 236786, 66204, 236764, 768, 11955, 236842, 138, 107, 236840, 11919, 236786, 11431, 23614, 236842, 138, 107, 236840, 43983, 236787, 76891, 15345, 653, 3205, 531, 822, 8781, 236842, 138, 108, 7243, 108, 1018, 26253, 573, 1161, 53121, 138, 107, 236772, 5213, 33076, 969, 53121, 44635, 34704, 524, 180399, 607, 506, 27945, 236858, 236751, 1463, 236764, 1948, 236764, 532, 822, 4889, 236761, 138, 107, 236772, 5213, 181266, 53121, 66257, 840, 125316, 236764, 79720, 13859, 1024, 88654, 236761, 138, 107, 236772, 5213, 32184, 3092, 53121, 127297, 522, 822, 3853, 618, 496, 38565, 10095, 13586, 71972, 236761, 138, 107, 236772, 5213, 902, 1424, 705, 53121, 94361, 531, 4024, 12396, 37143, 136630, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 672, 3342, 1680, 15656, 236764, 653, 1374, 564, 3600, 1217, 531, 1500, 872, 768, 611, 1537, 236858, 236745, 5908, 51201, 236881, 106, 107, 105, 2364, 107, 7166, 688, 625, 531, 3204, 496, 8652, 4928, 529, 1041, 49115, 37999, 618, 496, 12309, 32013, 236761, 33128, 1133, 236787, 165996, 4420, 564, 236858, 236757, 711, 2844, 236764, 564, 4059, 49115, 237028, 13534, 236858, 236751, 2613, 41992, 1003, 89120, 3877, 236764, 1623, 1133, 11584, 186533, 2630, 1781, 236829, 17608, 506, 1884, 529, 506, 3904, 32990, 840, 72146, 528, 600, 3577, 6374, 14769, 236761, 4298, 3600, 1217, 531, 1500, 872, 768, 901, 1537, 236858, 236745, 15148, 2351, 496, 2069, 236761, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 33093, 3618, 607, 822, 49115, 37999, 46276, 528, 236764, 6641, 684, 1500, 236772, 1048, 19205, 236787, 108, 7243, 108, 1018, 21288, 53121, 67653, 56802, 573, 15786, 1276, 8482, 41327, 138, 108, 10979, 870, 29338, 1604, 138, 108, 4754, 1463, 563, 870, 11069, 7343, 1604, 532, 564, 236858, 236757, 496, 38565, 10095, 607, 506, 870, 94298, 5570, 529, 119361, 236786, 17993, 10345, 1619, 3026, 564, 236858, 236757, 711, 2844, 236764, 564, 4059, 49115, 237028, 13534, 236858, 236751, 2613, 41992, 1003, 89120, 3877, 236764, 1623, 1133, 11584, 186533, 2630, 236761, 564, 3588, 3418, 822, 4803, 12714, 236786, 26329, 528, 637, 236786, 94298, 532, 637, 236786, 142891, 72199, 81233, 1003, 870, 109219, 3530, 1948, 236769, 236751, 779, 545, 236761, 236759, 1126, 623, 114476, 1276, 8482, 6022, 236775, 653, 623, 224157, 15786, 1276, 8482, 10981, 1935, 532, 1093, 2765, 531, 3371, 236761, 138, 108, 236777, 236858, 236757, 96085, 1938, 531, 2480, 3050, 6330, 6607, 532, 8701, 28893, 528, 3019, 236761, 1637, 611, 236858, 500, 1932, 531, 625, 236764, 1451, 611, 4024, 236787, 138, 107, 236770, 236761, 5213, 8551, 9814, 3213, 1018, 568, 236744, 236761, 236759, 1126, 3207, 236786, 78660, 7779, 20625, 138, 107, 236778, 236761, 5213, 3503, 3019, 1018, 568, 57454, 236764, 3195, 4122, 236764, 9069, 2404, 1894, 236764, 4044, 2907, 236881, 138, 107, 236800, 236761, 5213, 90147, 7021, 1018, 568, 36379, 24027, 236764, 111880, 236764, 33000, 20625, 138, 107, 236812, 236761, 7129, 5213, 43852, 12496, 653, 8991, 1018, 611, 236858, 560, 6950, 528, 76891, 18701, 236881, 138, 108, 2094, 795, 1601, 786, 41049, 919, 11974, 607, 44073, 1133, 611, 531, 13878, 186533, 1894, 3797, 236761, 564, 236858, 236757, 5293, 531, 4024, 1041, 12396, 653, 3249, 6549, 573, 7600, 7880, 236761, 138, 108, 12879, 573, 822, 990, 237028, 236777, 236858, 236753, 14756, 496, 3072, 684, 870, 1896, 236764, 2578, 236770, 2069, 699, 5039, 236842, 768, 2653, 236761, 43213, 2196, 531, 5370, 855, 607, 1027, 4137, 236888, 138, 108, 17043, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 17310, 236786, 66204, 236764, 768, 11955, 236842, 138, 107, 236840, 11919, 236786, 11431, 23614, 236842, 138, 107, 236840, 43983, 236787, 76891, 15345, 653, 3205, 531, 822, 8781, 236842, 138, 108, 7243, 108, 1018, 27447, 236772, 4674, 34428, 568, 584, 951, 15148, 2351, 496, 2069, 1473, 1018, 138, 107, 236770, 236761, 5213, 8569, 785, 204635, 53121, 138, 107, 139, 236772, 808, 21288, 149681, 43314, 22177, 236772, 4674, 580, 1276, 8482, 6824, 67653, 138, 107, 139, 236772, 808, 9256, 149681, 623, 10979, 870, 29338, 1604, 564, 5048, 531, 2426, 1063, 528, 1624, 1041, 3527, 3618, 2506, 29051, 528, 822, 52181, 236761, 564, 236858, 236753, 2036, 2765, 531, 3449, 919, 1003, 870, 17185, 1463, 236842, 532, 1217, 692, 2473, 41049, 236761, 2301, 4204, 237028, 236777, 236858, 236757, 5293, 531, 6253, 672, 2864, 531, 4691, 822, 15830, 9332, 138, 108, 236778, 236761, 5213, 93993, 45750, 53121, 138, 107, 139, 236772, 1637, 901, 4595, 172048, 236764, 1966, 25035, 496, 1237, 5739, 528, 506, 1638, 175036, 8583, 1298, 901, 19263, 236764, 21485, 44742, 1194, 822, 2864, 532, 38564, 1091, 531, 22529, 611, 236761, 14691, 236787, 138, 107, 141, 71510, 12879, 531, 4677, 11211, 19317, 580, 29067, 186533, 6607, 236888, 1637, 611, 236858, 500, 1932, 531, 496, 3823, 11184, 1003, 870, 15396, 1948, 1604, 564, 236858, 236753, 2765, 531, 3371, 4323, 22529, 531, 3249, 13859, 7760, 236761, 20728, 531, 4024, 12396, 607, 506, 2299, 2311, 9332, 236829, 138, 108, 2094, 41131, 54900, 607, 2833, 573, 910, 990, 532, 5058, 39390, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 100257, 506, 15737, 3342, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1502, 496, 3399, 17358, 531, 1894, 29121, 114988, 7010, 528, 15786, 236764, 840, 564, 1202, 531, 3371, 607, 2263, 44073, 532, 9780, 1171, 236761, 3199, 611, 1601, 786, 1586, 3435, 85505, 1343, 76891, 236881, 9187, 684, 19460, 637, 236786, 94298, 532, 637, 236786, 142891, 72199, 81233, 573, 18701, 1003, 186533, 6607, 532, 35652, 7880, 528, 506, 3068, 236743, 236825, 3794, 236761, 1637, 611, 1586, 18661, 1082, 236743, 236770, 236771, 5158, 11383, 528, 1724, 25843, 236764, 6778, 506, 3927, 531, 3204, 637, 236786, 30222, 9004, 532, 637, 236786, 167860, 81233, 236761, 1701, 1546, 2080, 611, 8701, 236764, 5433, 910, 15345, 236764, 506, 3530, 6607, 901, 4928, 236764, 532, 1027, 31459, 126853, 901, 1694, 528, 910, 8781, 236761, 22282, 77372, 5089, 1015, 236789, 560, 12551, 653, 32561, 657, 3198, 236743, 236810, 2782, 1003, 15786, 236772, 15396, 19898, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 148778, 1083, 78493, 11668, 1083, 623, 12154, 72199, 23423, 33345, 827, 623, 110639, 236779, 31125, 1083, 11058, 114476, 1276, 8482, 6022, 827, 623, 94298, 179151, 1276, 8482, 40434, 14255, 623, 117105, 1353, 236779, 103832, 1083, 623, 94298, 28553, 45179, 23179, 3714, 11668, 1083, 623, 81233, 12154, 827, 623, 110639, 236779, 31125, 1083, 11058, 31403, 113996, 1348, 5796, 74616, 6824, 827, 623, 12400, 61589, 27790, 29067, 14255, 623, 117105, 1353, 236779, 103832, 1083, 623, 142891, 14340, 12329, 53431, 23179, 3714, 11668, 1083, 623, 30222, 9004, 902, 12154, 827, 623, 110639, 236779, 31125, 1083, 11058, 224157, 15786, 1276, 8482, 10981, 827, 623, 12154, 81689, 6824, 14255, 623, 117105, 1353, 236779, 103832, 1083, 623, 94298, 8096, 529, 8779, 39049, 25938, 1604, 623, 6725, 236779, 5034, 236779, 103088, 1083, 236743, 236770, 236778, 236764, 623, 2204, 125191, 1258, 236779, 158365, 3059, 1083, 11058, 94298, 827, 623, 142891, 72199, 81233, 14255, 623, 29449, 236779, 158365, 3059, 1083, 623, 500, 8482, 6607, 532, 35652, 7880, 528, 15786, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 3435, 85505, 8385, 699, 76891, 18701, 1003, 15786, 186533, 6607, 236787, 108, 1018, 22995, 12808, 17647, 568, 236750, 236786, 94298, 833, 637, 236786, 142891, 72199, 81233, 1473, 1018, 107, 236772, 5213, 9640, 23531, 60624, 53121, 236743, 236770, 236778, 568, 34436, 1645, 236793, 951, 1202, 531, 6778, 1159, 125191, 1258, 236768, 107, 236772, 5213, 130428, 121206, 53121, 107, 138, 236770, 236761, 5213, 12154, 72199, 23423, 33345, 1018, 107, 141, 236772, 41327, 236787, 26217, 1276, 8482, 6022, 236764, 15786, 179151, 1276, 8482, 40434, 107, 141, 236772, 12321, 28613, 236787, 15786, 28553, 45179, 107, 138, 236778, 236761, 5213, 81233, 12154, 1018, 107, 141, 236772, 41327, 236787, 15141, 113996, 1348, 5796, 74616, 6824, 236764, 9674, 61589, 27790, 29067, 107, 141, 236772, 12321, 28613, 236787, 32264, 14340, 12329, 53431, 107, 138, 236800, 236761, 5213, 30222, 9004, 902, 12154, 1018, 107, 141, 236772, 41327, 236787, 38784, 15786, 1276, 8482, 10981, 236764, 29067, 81689, 6824, 107, 141, 236772, 12321, 28613, 236787, 15786, 8096, 529, 8779, 39049, 108, 3243, 9025, 735, 5158, 54949, 529, 57846, 236810, 12714, 236786, 26329, 1003, 15786, 236772, 15396, 19898, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 84567, 506, 3927, 531, 3204, 637, 236786, 30222, 9004, 532, 637, 236786, 167860, 81233, 573, 4767, 9025, 236881, 107, 236778, 236761, 39525, 14984, 580, 1217, 531, 4313, 1239, 5089, 573, 13859, 236881, 107, 236800, 236761, 114815, 496, 1694, 529, 506, 3530, 6607, 6950, 573, 3342, 2958, 236881, 106, 107, 105, 2364, 107, 27407, 496, 1694, 529, 506, 3530, 6607, 6950, 573, 3342, 2958, 236764, 2440, 236787, 753, 26217, 1276, 8482, 6022, 753, 15786, 179151, 1276, 8482, 40434, 753, 15141, 113996, 1348, 5796, 74616, 6824, 753, 9674, 61589, 27790, 29067, 753, 38784, 15786, 1276, 8482, 10981, 753, 29067, 81689, 6824, 1701, 1546, 1948, 236764, 8701, 236787, 236743, 236770, 236761, 73888, 3213, 568, 13319, 236786, 78660, 528, 15786, 236768, 236743, 236778, 236761, 9533, 3019, 8375, 568, 236744, 236761, 236759, 1126, 11132, 236764, 3195, 4122, 236764, 9069, 2404, 1894, 236768, 236743, 236800, 236761, 68542, 7021, 568, 36379, 24027, 236764, 38911, 33000, 236764, 4044, 2907, 236743, 236812, 236761, 34980, 12496, 653, 8991, 6950, 528, 76891, 18701, 1174, 795, 1601, 786, 3050, 6330, 28893, 532, 7760, 1680, 17154, 855, 531, 506, 44073, 5467, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 33205, 9813, 1948, 1938, 568, 234863, 3213, 236764, 3019, 236764, 11213, 7021, 236764, 653, 76891, 8699, 4889, 236768, 1699, 506, 1873, 6436, 236761, 669, 5213, 44183, 236779, 40227, 236779, 37223, 1018, 5904, 1186, 38905, 2430, 9025, 532, 910, 5143, 6607, 236786, 2806, 174904, 840, 4038, 236789, 236745, 2847, 1948, 236772, 15396, 1262, 236761, 108, 2021, 7162, 236764, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 26922, 506, 76891, 20183, 529, 506, 8385, 9025, 568, 236744, 236761, 236759, 1126, 559, 236786, 12154, 72199, 23423, 33345, 236768, 531, 3540, 910, 12714, 236786, 26329, 573, 4889, 1003, 506, 6607, 901, 6950, 236761, 107, 236778, 236761, 12808, 5125, 17909, 529, 506, 9456, 9780, 568, 236744, 236761, 236759, 1126, 15786, 28553, 45179, 236764, 32264, 14340, 12329, 53431, 236768, 573, 1948, 72320, 236761, 107, 236800, 236761, 6890, 8398, 5405, 1133, 506, 15786, 5570, 529, 119361, 236858, 186533, 12229, 653, 38911, 34438, 573, 11213, 532, 2509, 1938, 236761, 108, 38786, 611, 1133, 786, 531, 8214, 611, 1343, 68632, 20054, 4137, 531, 2679, 1239, 9025, 5467, 236764, 653, 1093, 611, 5278, 1601, 66582, 496, 3618, 531, 2864, 672, 1938, 699, 506, 76891, 5089, 236881, 106, 107, 105, 2364, 107, 28368, 786, 12262, 496, 3618, 531, 2864, 672, 1938, 699, 506, 76891, 5089, 5467, 236761, 669, 3618, 1374, 577, 5707, 3819, 139445, 236764, 8207, 29354, 1041, 5708, 618, 496, 15786, 236772, 5140, 38565, 10095, 23021, 531, 41049, 580, 186533, 19898, 236764, 532, 49643, 506, 4453, 1948, 4889, 564, 1202, 568, 234863, 3213, 236764, 3019, 8375, 236764, 11213, 7021, 236764, 532, 1027, 8991, 901, 236789, 560, 6950, 769, 17608, 625, 63510, 840, 13868, 3487, 531, 96442, 9813, 13630, 236761, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 5707, 3819, 117516, 3618, 7930, 611, 740, 1161, 531, 3662, 506, 76891, 5089, 5467, 236787, 108, 7243, 108, 1018, 21288, 53121, 67653, 56802, 573, 15786, 1276, 8482, 41327, 138, 108, 10979, 870, 29338, 1604, 138, 108, 4754, 1463, 563, 870, 11069, 7343, 1604, 532, 564, 236858, 236757, 496, 38565, 10095, 607, 506, 870, 94298, 5570, 529, 119361, 236786, 17993, 10345, 1604, 5633, 2844, 580, 3399, 236772, 991, 186533, 19898, 573, 29121, 114988, 7010, 528, 15786, 236761, 564, 3588, 3418, 822, 4803, 12714, 236786, 26329, 528, 637, 236786, 94298, 532, 637, 236786, 142891, 72199, 81233, 1003, 870, 109219, 3530, 1948, 236769, 236751, 236768, 901, 9456, 236764, 545, 236761, 236759, 1126, 623, 114476, 1276, 8482, 6022, 236775, 653, 623, 224157, 15786, 1276, 8482, 10981, 1935, 532, 1093, 2765, 531, 3371, 236761, 138, 108, 236777, 236858, 236757, 96085, 1938, 531, 2480, 3050, 6330, 6607, 532, 8701, 28893, 528, 3019, 236761, 1637, 611, 236858, 500, 1932, 531, 625, 236764, 1451, 611, 4024, 236787, 138, 107, 236770, 236761, 5213, 8551, 9814, 3213, 1018, 568, 236744, 236761, 236759, 1126, 3207, 236786, 78660, 7779, 20625, 138, 107, 236778, 236761, 5213, 3503, 3019, 1018, 568, 57454, 236764, 3195, 4122, 236764, 9069, 2404, 1894, 236764, 4044, 2907, 236881, 138, 107, 236800, 236761, 5213, 90147, 7021, 1018, 568, 36379, 24027, 236764, 111880, 236764, 33000, 20625, 138, 107, 236812, 236761, 7129, 5213, 43852, 12496, 653, 8991, 1018, 611, 236858, 560, 6950, 528, 76891, 18701, 236881, 138, 108, 2094, 795, 1601, 786, 41049, 919, 11974, 607, 44073, 1133, 611, 531, 13878, 186533, 1894, 3797, 236761, 564, 236858, 236757, 5293, 531, 4024, 1041, 12396, 653, 3249, 6549, 573, 7600, 7880, 236761, 138, 108, 12879, 573, 822, 990, 237028, 236777, 236858, 236753, 14756, 496, 3072, 684, 870, 1896, 236764, 2578, 236770, 2069, 699, 5039, 236842, 768, 2653, 236761, 43213, 2196, 531, 5370, 855, 607, 1027, 4137, 236888, 138, 108, 17043, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 17310, 236786, 66204, 236764, 768, 11955, 236842, 138, 107, 236840, 11919, 236786, 11431, 23614, 236842, 138, 107, 236840, 43983, 236787, 76891, 15345, 653, 3205, 531, 822, 8781, 236842, 138, 108, 7243, 108, 1018, 26253, 573, 1161, 53121, 138, 107, 236772, 5213, 33076, 969, 53121, 44635, 34704, 524, 180399, 607, 506, 27945, 236858, 236751, 1463, 236764, 1948, 236764, 532, 822, 4889, 236761, 138, 107, 236772, 5213, 181266, 53121, 66257, 840, 125316, 236764, 79720, 13859, 1024, 88654, 236761, 138, 107, 236772, 5213, 32184, 3092, 53121, 127297, 522, 822, 3853, 618, 496, 38565, 10095, 13586, 71972, 236761, 138, 107, 236772, 5213, 902, 1424, 705, 53121, 94361, 531, 4024, 12396, 37143, 136630, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 672, 3342, 1680, 15656, 236764, 653, 1374, 564, 3600, 1217, 531, 1500, 872, 768, 611, 1537, 236858, 236745, 5908, 51201, 236881, 106, 107, 105, 2364, 107, 7166, 688, 625, 531, 3204, 496, 8652, 4928, 529, 1041, 49115, 37999, 618, 496, 12309, 32013, 236761, 33128, 1133, 236787, 165996, 4420, 564, 236858, 236757, 711, 2844, 236764, 564, 4059, 49115, 237028, 13534, 236858, 236751, 2613, 41992, 1003, 89120, 3877, 236764, 1623, 1133, 11584, 186533, 2630, 1781, 236829, 17608, 506, 1884, 529, 506, 3904, 32990, 840, 72146, 528, 600, 3577, 6374, 14769, 236761, 4298, 3600, 1217, 531, 1500, 872, 768, 901, 1537, 236858, 236745, 15148, 2351, 496, 2069, 236761, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 33093, 3618, 607, 822, 49115, 37999, 46276, 528, 236764, 6641, 684, 1500, 236772, 1048, 19205, 236787, 108, 7243, 108, 1018, 21288, 53121, 67653, 56802, 573, 15786, 1276, 8482, 41327, 138, 108, 10979, 870, 29338, 1604, 138, 108, 4754, 1463, 563, 870, 11069, 7343, 1604, 532, 564, 236858, 236757, 496, 38565, 10095, 607, 506, 870, 94298, 5570, 529, 119361, 236786, 17993, 10345, 1619, 3026, 564, 236858, 236757, 711, 2844, 236764, 564, 4059, 49115, 237028, 13534, 236858, 236751, 2613, 41992, 1003, 89120, 3877, 236764, 1623, 1133, 11584, 186533, 2630, 236761, 564, 3588, 3418, 822, 4803, 12714, 236786, 26329, 528, 637, 236786, 94298, 532, 637, 236786, 142891, 72199, 81233, 1003, 870, 109219, 3530, 1948, 236769, 236751, 779, 545, 236761, 236759, 1126, 623, 114476, 1276, 8482, 6022, 236775, 653, 623, 224157, 15786, 1276, 8482, 10981, 1935, 532, 1093, 2765, 531, 3371, 236761, 138, 108, 236777, 236858, 236757, 96085, 1938, 531, 2480, 3050, 6330, 6607, 532, 8701, 28893, 528, 3019, 236761, 1637, 611, 236858, 500, 1932, 531, 625, 236764, 1451, 611, 4024, 236787, 138, 107, 236770, 236761, 5213, 8551, 9814, 3213, 1018, 568, 236744, 236761, 236759, 1126, 3207, 236786, 78660, 7779, 20625, 138, 107, 236778, 236761, 5213, 3503, 3019, 1018, 568, 57454, 236764, 3195, 4122, 236764, 9069, 2404, 1894, 236764, 4044, 2907, 236881, 138, 107, 236800, 236761, 5213, 90147, 7021, 1018, 568, 36379, 24027, 236764, 111880, 236764, 33000, 20625, 138, 107, 236812, 236761, 7129, 5213, 43852, 12496, 653, 8991, 1018, 611, 236858, 560, 6950, 528, 76891, 18701, 236881, 138, 108, 2094, 795, 1601, 786, 41049, 919, 11974, 607, 44073, 1133, 611, 531, 13878, 186533, 1894, 3797, 236761, 564, 236858, 236757, 5293, 531, 4024, 1041, 12396, 653, 3249, 6549, 573, 7600, 7880, 236761, 138, 108, 12879, 573, 822, 990, 237028, 236777, 236858, 236753, 14756, 496, 3072, 684, 870, 1896, 236764, 2578, 236770, 2069, 699, 5039, 236842, 768, 2653, 236761, 43213, 2196, 531, 5370, 855, 607, 1027, 4137, 236888, 138, 108, 17043, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 17310, 236786, 66204, 236764, 768, 11955, 236842, 138, 107, 236840, 11919, 236786, 11431, 23614, 236842, 138, 107, 236840, 43983, 236787, 76891, 15345, 653, 3205, 531, 822, 8781, 236842, 138, 108, 7243, 108, 1018, 27447, 236772, 4674, 34428, 568, 584, 951, 15148, 2351, 496, 2069, 1473, 1018, 138, 107, 236770, 236761, 5213, 8569, 785, 204635, 53121, 138, 107, 139, 236772, 808, 21288, 149681, 43314, 22177, 236772, 4674, 580, 1276, 8482, 6824, 67653, 138, 107, 139, 236772, 808, 9256, 149681, 623, 10979, 870, 29338, 1604, 564, 5048, 531, 2426, 1063, 528, 1624, 1041, 3527, 3618, 2506, 29051, 528, 822, 52181, 236761, 564, 236858, 236753, 2036, 2765, 531, 3449, 919, 1003, 870, 17185, 1463, 236842, 532, 1217, 692, 2473, 41049, 236761, 2301, 4204, 237028, 236777, 236858, 236757, 5293, 531, 6253, 672, 2864, 531, 4691, 822, 15830, 9332, 138, 108, 236778, 236761, 5213, 93993, 45750, 53121, 138, 107, 139, 236772, 1637, 901, 4595, 172048, 236764, 1966, 25035, 496, 1237, 5739, 528, 506, 1638, 175036, 8583, 1298, 901, 19263, 236764, 21485, 44742, 1194, 822, 2864, 532, 38564, 1091, 531, 22529, 611, 236761, 14691, 236787, 138, 107, 141, 71510, 12879, 531, 4677, 11211, 19317, 580, 29067, 186533, 6607, 236888, 1637, 611, 236858, 500, 1932, 531, 496, 3823, 11184, 1003, 870, 15396, 1948, 1604, 564, 236858, 236753, 2765, 531, 3371, 4323, 22529, 531, 3249, 13859, 7760, 236761, 20728, 531, 4024, 12396, 607, 506, 2299, 2311, 9332, 236829, 138, 108, 2094, 41131, 54900, 607, 2833, 573, 910, 990, 532, 5058, 39390, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 100257, 506, 15737, 3342, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 22479, 496, 10224, 573, 496, 2958, 7946, 236761, 564, 236789, 236757, 2844, 580, 1041, 2260, 1003, 5431, 3997, 528, 17110, 5699, 236764, 532, 564, 1461, 531, 3517, 1070, 2255, 7088, 528, 1700, 25690, 2032, 236764, 13531, 236761, 3199, 611, 1586, 786, 496, 4886, 236772, 59667, 10224, 699, 19662, 568, 9402, 236798, 236768, 531, 103772, 2148, 2297, 236881, 3792, 236858, 236751, 1879, 75389, 5857, 236743, 236770, 236778, 594, 532, 16228, 5857, 236743, 236770, 236819, 594, 236761, 5393, 886, 20985, 237028, 17242, 883, 236761, 564, 236858, 236753, 1133, 531, 1460, 3835, 607, 10559, 6267, 1749, 2782, 532, 974, 496, 5113, 529, 506, 2558, 2157, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 1982, 22344, 236764, 8134, 1724, 2311, 236761, 564, 236858, 560, 6827, 506, 35874, 41861, 605, 6494, 8784, 1982, 699, 125452, 236764, 840, 564, 236858, 236757, 711, 2889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 7750, 236800, 236812, 236810, 236917, 236823, 827, 623, 4818, 1083, 623, 87877, 827, 623, 30861, 236779, 13308, 1083, 3714, 725, 10633, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236770, 236778, 236800, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7800, 34106, 1083, 78493, 13319, 1083, 623, 175454, 827, 623, 19001, 1083, 623, 236770, 236754, 236743, 236800, 236771, 236757, 25938, 1604, 623, 12293, 236779, 30861, 1083, 2416, 1263, 623, 495, 10633, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236770, 236778, 236812, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236800, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7800, 34106, 1083, 78493, 13319, 1083, 623, 177515, 827, 623, 19001, 1083, 623, 236812, 236810, 236757, 25938, 1604, 623, 12293, 236779, 30861, 1083, 2416, 5237, 623, 86211, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236832, 236828, 236819, 236761, 236771, 236764, 623, 85512, 236779, 624, 236779, 136702, 1083, 236743, 236770, 236812, 236778, 236761, 236810, 236764, 623, 6725, 236779, 13769, 1083, 236743, 236819, 236800, 236770, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 18146, 236779, 23184, 1083, 623, 123230, 41861, 605, 1982, 10224, 568, 73344, 236819, 236828, 236832, 236768, 699, 12462, 236798, 531, 555, 13200, 2487, 580, 27197, 3433, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 59528, 607, 236743, 236770, 6267, 1749, 528, 62056, 568, 236800, 236771, 1322, 769, 21284, 611, 1133, 531, 5702, 531, 672, 5086, 32109, 623, 104094, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 10224, 4889, 573, 822, 2958, 7946, 531, 1700, 25690, 2032, 236787, 108, 1018, 129647, 66591, 568, 70329, 5853, 236787, 16586, 236800, 236812, 236810, 236917, 236823, 1473, 1018, 107, 236772, 5213, 3949, 10633, 53121, 35874, 41861, 605, 133121, 236770, 236778, 236800, 138, 107, 138, 42265, 12462, 236798, 236743, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236819, 236787, 236770, 236810, 8151, 59528, 16130, 1572, 6333, 62056, 568, 236773, 13200, 236768, 236743, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236828, 236787, 236812, 236810, 8711, 59528, 138, 107, 138, 236829, 119137, 1749, 528, 62056, 236787, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 236829, 138, 107, 236772, 5213, 13293, 53121, 35874, 41861, 605, 133121, 236770, 236778, 236812, 138, 107, 138, 42265, 27071, 568, 236796, 10669, 236768, 236743, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 59528, 16130, 1572, 6333, 12462, 236798, 236743, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236787, 236800, 236771, 8711, 59528, 138, 107, 138, 236829, 119137, 1749, 528, 27071, 236787, 236743, 236812, 236810, 236757, 236829, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236819, 236800, 236770, 236761, 236810, 236771, 568, 178131, 236768, 138, 108, 1018, 10176, 30970, 19993, 53121, 138, 107, 123230, 41861, 605, 5469, 496, 1982, 10224, 5213, 73344, 236819, 236828, 236832, 1018, 699, 12462, 236798, 531, 62056, 568, 236773, 13200, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236778, 236764, 75389, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 59528, 607, 496, 5213, 236800, 236771, 236772, 20353, 6267, 1749, 528, 62056, 1018, 568, 21314, 236761, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 528, 822, 1873, 22479, 769, 111917, 990, 12853, 822, 1873, 10224, 568, 236828, 236787, 236812, 236810, 8711, 59528, 769, 138, 108, 1018, 26253, 53121, 138, 107, 236770, 236761, 62056, 17526, 568, 236773, 13200, 236768, 563, 506, 24119, 3262, 16047, 531, 1700, 25690, 2032, 236786, 28118, 2677, 568, 17868, 236761, 236743, 236770, 236761, 236810, 236772, 13807, 5697, 769, 138, 107, 236778, 236761, 669, 1982, 10224, 17707, 6267, 1749, 990, 840, 120352, 8427, 3209, 236761, 79913, 1149, 9729, 768, 611, 5702, 3835, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 506, 1982, 10224, 133121, 236819, 236828, 236832, 3342, 653, 6253, 822, 994, 76717, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 3835, 236761, 3792, 786, 1751, 1390, 669, 1982, 10224, 133121, 236819, 236828, 236832, 236858, 236751, 20532, 6267, 1749, 12054, 2480, 1082, 506, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 236764, 840, 564, 236858, 236757, 10099, 1003, 506, 994, 2420, 236761, 5612, 564, 236858, 859, 577, 19447, 3541, 103772, 568, 229114, 531, 62056, 779, 4030, 506, 27071, 27197, 568, 236796, 10669, 236768, 13586, 4481, 4301, 990, 532, 2157, 531, 974, 1063, 531, 506, 16047, 236761, 3199, 611, 2426, 1156, 2432, 236881, 236743, 236770, 236761, 2900, 236858, 236751, 506, 5213, 9707, 4954, 1018, 573, 26182, 531, 506, 1982, 10224, 133121, 236819, 236828, 236832, 568, 9402, 236798, 238183, 236773, 13200, 236768, 7728, 236761, 1041, 1873, 22479, 236881, 236743, 236778, 236761, 9354, 993, 994, 22344, 699, 5213, 175454, 568, 236773, 13200, 62902, 531, 12462, 236798, 580, 236743, 236771, 236819, 236786, 236770, 236819, 600, 2036, 2514, 506, 6267, 1749, 1208, 614, 6468, 236881, 2981, 236858, 236753, 5383, 786, 236743, 236770, 236761, 236810, 3885, 529, 9204, 1546, 1595, 236761, 6542, 236764, 768, 506, 1982, 10224, 563, 8792, 919, 11162, 236764, 7463, 625, 236858, 236751, 711, 5367, 625, 236761, 3792, 236858, 236751, 7002, 990, 532, 2157, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 7750, 236832, 236828, 236819, 236778, 236770, 827, 623, 4818, 1083, 623, 87877, 827, 623, 30861, 236779, 13308, 1083, 3714, 725, 10633, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236819, 236828, 236832, 827, 623, 20205, 1083, 623, 9402, 236798, 827, 623, 34598, 1083, 623, 236773, 13200, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236800, 236774, 236771, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236812, 236828, 236810, 236761, 236771, 236764, 623, 7800, 1749, 1083, 623, 12293, 23179, 623, 2060, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236819, 236828, 236828, 827, 623, 20205, 1083, 623, 236773, 13200, 827, 623, 34598, 1083, 623, 9402, 236798, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7800, 1749, 1083, 623, 236810, 236810, 4310, 827, 623, 9707, 1083, 236743, 236810, 236770, 236771, 236761, 236771, 5237, 623, 6725, 236779, 9707, 1083, 236743, 236819, 236819, 236810, 236761, 236771, 236764, 623, 9707, 236779, 44251, 236779, 21314, 236779, 4002, 236779, 61823, 1083, 753, 236778, 236810, 236761, 236771, 236764, 623, 2060, 236779, 120177, 236779, 18700, 1083, 1847, 236764, 623, 24471, 236779, 4818, 1083, 623, 47382, 827, 623, 104094, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 2721, 580, 822, 4137, 236787, 108, 10354, 236743, 236770, 236761, 5213, 11280, 64767, 573, 5890, 30970, 133121, 236819, 236828, 236832, 1018, 138, 107, 236772, 5213, 8782, 66591, 568, 14042, 236772, 10176, 1473, 1018, 609, 236819, 236800, 236770, 236761, 236810, 236771, 138, 107, 236772, 5213, 10176, 30970, 133121, 236819, 236828, 236832, 568, 9402, 236798, 238183, 236773, 13200, 236768, 900, 9657, 699, 555, 13200, 53121, 609, 236819, 236819, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 11280, 64767, 53121, 5213, 30766, 236825, 236800, 236761, 236810, 236771, 1018, 568, 2217, 125741, 236778, 236810, 618, 9456, 528, 506, 5904, 3072, 237028, 13534, 1149, 577, 496, 14988, 3165, 528, 506, 1458, 769, 138, 108, 10354, 236743, 236778, 236761, 5213, 13293, 115058, 699, 62056, 568, 236773, 13200, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236819, 1018, 138, 107, 236772, 5213, 10784, 236764, 2487, 53121, 138, 107, 138, 236772, 5213, 34105, 133121, 236819, 236828, 236828, 1018, 120352, 555, 13200, 657, 5213, 236770, 236770, 236787, 236812, 236810, 8151, 59528, 1018, 568, 28118, 2677, 990, 779, 36522, 12462, 236798, 657, 5213, 236800, 236787, 236800, 236771, 8711, 59528, 84750, 138, 107, 138, 236772, 5213, 119137, 1749, 53121, 5213, 236810, 236810, 4310, 1018, 568, 6460, 822, 236743, 236770, 236772, 13807, 14272, 769, 138, 108, 10354, 9533, 12774, 50914, 236787, 138, 107, 236772, 5213, 2866, 62480, 53121, 138, 107, 138, 236772, 5890, 10224, 133121, 236819, 236828, 236832, 53595, 6267, 1749, 528, 62056, 568, 236771, 236754, 7728, 236761, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 769, 138, 107, 138, 236772, 9657, 10224, 699, 555, 13200, 69281, 9204, 531, 27071, 568, 177142, 2578, 236800, 3885, 2558, 769, 138, 107, 236772, 5213, 23077, 17648, 236772, 2865, 53121, 138, 107, 138, 236772, 5890, 10224, 13586, 202721, 236825, 236800, 236761, 236810, 236771, 531, 822, 2558, 236761, 138, 107, 138, 236772, 1637, 7715, 236772, 46443, 236764, 822, 3303, 22479, 7474, 4341, 840, 7087, 4481, 4301, 990, 236761, 138, 108, 1018, 211199, 53121, 138, 107, 2859, 822, 2958, 10368, 5862, 19142, 236764, 506, 1982, 10224, 532, 555, 13200, 994, 7002, 990, 532, 2157, 23057, 236761, 21284, 611, 1133, 531, 7162, 607, 672, 10448, 76717, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236761, 669, 609, 236825, 236800, 236761, 236810, 236771, 4954, 563, 78407, 768, 625, 32635, 990, 237028, 38279, 2338, 31983, 506, 27071, 5697, 5021, 786, 919, 3885, 573, 2958, 236761, 3792, 236858, 236751, 7162, 607, 236787, 236743, 236770, 236761, 5213, 3949, 10633, 53121, 5890, 10224, 5213, 73344, 236819, 236828, 236832, 1018, 568, 9402, 236798, 238183, 236773, 13200, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 59528, 236761, 236743, 236778, 236761, 5213, 13293, 53121, 30970, 5213, 73344, 236819, 236828, 236828, 1018, 699, 62056, 568, 236773, 13200, 238183, 9402, 236798, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236770, 236787, 236812, 236810, 8151, 59528, 236761, 3199, 611, 4610, 1041, 22479, 607, 1239, 3731, 532, 9128, 506, 1626, 2558, 236881, 6542, 236764, 2338, 564, 236858, 859, 577, 73054, 496, 1295, 657, 62056, 236764, 1677, 506, 16257, 990, 568, 236828, 236787, 236812, 236810, 8711, 59528, 236768, 580, 506, 236743, 236770, 236778, 594, 2583, 786, 3487, 990, 531, 4351, 872, 506, 20310, 1680, 4996, 236881, 568, 84585, 528, 62056, 528, 5857, 563, 2101, 236743, 236832, 236787, 236800, 236771, 8711, 236764, 564, 1751, 2907, 106, 107, 105, 4368, 107, 1018, 41778, 66591, 13810, 8593, 568, 70329, 5853, 236787, 16586, 236832, 236828, 236819, 236778, 236770, 1473, 1018, 138, 107, 236770, 236761, 5213, 3949, 10633, 53121, 35874, 41861, 605, 133121, 236819, 236828, 236832, 568, 9402, 236798, 238183, 236773, 13200, 236768, 138, 107, 139, 236772, 163351, 236787, 5213, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236770, 236812, 236787, 236778, 236771, 59528, 1018, 568, 236770, 236771, 236787, 236778, 236771, 8151, 102775, 236768, 138, 107, 139, 236772, 111917, 236787, 5213, 236771, 236819, 236786, 236770, 236800, 657, 236743, 236771, 236825, 236787, 236770, 236810, 59528, 1018, 568, 236832, 236787, 236770, 236810, 8151, 42163, 236768, 138, 107, 236778, 236761, 5213, 13293, 53121, 35874, 41861, 605, 133121, 236819, 236828, 236828, 568, 236773, 13200, 238183, 9402, 236798, 236768, 138, 107, 139, 236772, 163351, 236787, 5213, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236770, 236787, 236812, 236810, 59528, 1018, 568, 236770, 236778, 236787, 236812, 236810, 8711, 42163, 236768, 138, 107, 139, 236772, 111917, 236787, 5213, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236810, 236787, 236800, 236771, 59528, 1018, 568, 236770, 236770, 236787, 236800, 236771, 8151, 102775, 236768, 138, 108, 1018, 17667, 12613, 11117, 53121, 609, 236819, 236819, 236810, 236761, 236771, 236771, 568, 178131, 236768, 138, 108, 7243, 108, 10354, 5213, 132887, 3331, 121722, 61018, 2540, 1018, 138, 107, 11069, 5213, 46353, 528, 62056, 568, 236773, 13200, 236768, 563, 657, 236743, 236771, 236825, 236787, 236770, 236810, 59528, 568, 236832, 236787, 236770, 236810, 8151, 2263, 990, 62902, 580, 5857, 236743, 236770, 236800, 594, 236764, 5213, 2217, 5857, 236743, 236770, 236778, 594, 657, 236743, 236828, 236787, 236812, 236810, 8711, 59528, 84750, 80126, 528, 62056, 528, 5857, 563, 2101, 5213, 236825, 236787, 236771, 236771, 8151, 2263, 990, 125546, 834, 611, 236858, 859, 2601, 1164, 1308, 36597, 236761, 1174, 5021, 611, 5213, 1622, 58745, 1018, 531, 4351, 872, 822, 20310, 1295, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236772, 64063, 1295, 20310, 35312, 100146, 607, 506, 16047, 236858, 236751, 8115, 3885, 568, 3374, 13253, 1932, 684, 236743, 236832, 236787, 236771, 236771, 8151, 769, 138, 107, 236772, 14066, 16329, 1131, 822, 1700, 25690, 2032, 22162, 580, 506, 236743, 236770, 236800, 594, 568, 1496, 3223, 3885, 573, 22260, 769, 138, 108, 38786, 611, 1133, 786, 531, 6361, 607, 1295, 20310, 15136, 653, 2263, 81124, 3835, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 22479, 496, 10224, 573, 496, 2958, 7946, 236761, 564, 236789, 236757, 2844, 580, 1041, 2260, 1003, 5431, 3997, 528, 17110, 5699, 236764, 532, 564, 1461, 531, 3517, 1070, 2255, 7088, 528, 1700, 25690, 2032, 236764, 13531, 236761, 3199, 611, 1586, 786, 496, 4886, 236772, 59667, 10224, 699, 19662, 568, 9402, 236798, 236768, 531, 103772, 2148, 2297, 236881, 3792, 236858, 236751, 1879, 75389, 5857, 236743, 236770, 236778, 594, 532, 16228, 5857, 236743, 236770, 236819, 594, 236761, 5393, 886, 20985, 237028, 17242, 883, 236761, 564, 236858, 236753, 1133, 531, 1460, 3835, 607, 10559, 6267, 1749, 2782, 532, 974, 496, 5113, 529, 506, 2558, 2157, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 1982, 22344, 236764, 8134, 1724, 2311, 236761, 564, 236858, 560, 6827, 506, 35874, 41861, 605, 6494, 8784, 1982, 699, 125452, 236764, 840, 564, 236858, 236757, 711, 2889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 7750, 236800, 236812, 236810, 236917, 236823, 827, 623, 4818, 1083, 623, 87877, 827, 623, 30861, 236779, 13308, 1083, 3714, 725, 10633, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236770, 236778, 236800, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7800, 34106, 1083, 78493, 13319, 1083, 623, 175454, 827, 623, 19001, 1083, 623, 236770, 236754, 236743, 236800, 236771, 236757, 25938, 1604, 623, 12293, 236779, 30861, 1083, 2416, 1263, 623, 495, 10633, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236770, 236778, 236812, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236800, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7800, 34106, 1083, 78493, 13319, 1083, 623, 177515, 827, 623, 19001, 1083, 623, 236812, 236810, 236757, 25938, 1604, 623, 12293, 236779, 30861, 1083, 2416, 5237, 623, 86211, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236832, 236828, 236819, 236761, 236771, 236764, 623, 85512, 236779, 624, 236779, 136702, 1083, 236743, 236770, 236812, 236778, 236761, 236810, 236764, 623, 6725, 236779, 13769, 1083, 236743, 236819, 236800, 236770, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 18146, 236779, 23184, 1083, 623, 123230, 41861, 605, 1982, 10224, 568, 73344, 236819, 236828, 236832, 236768, 699, 12462, 236798, 531, 555, 13200, 2487, 580, 27197, 3433, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 59528, 607, 236743, 236770, 6267, 1749, 528, 62056, 568, 236800, 236771, 1322, 769, 21284, 611, 1133, 531, 5702, 531, 672, 5086, 32109, 623, 104094, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 10224, 4889, 573, 822, 2958, 7946, 531, 1700, 25690, 2032, 236787, 108, 1018, 129647, 66591, 568, 70329, 5853, 236787, 16586, 236800, 236812, 236810, 236917, 236823, 1473, 1018, 107, 236772, 5213, 3949, 10633, 53121, 35874, 41861, 605, 133121, 236770, 236778, 236800, 138, 107, 138, 42265, 12462, 236798, 236743, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236819, 236787, 236770, 236810, 8151, 59528, 16130, 1572, 6333, 62056, 568, 236773, 13200, 236768, 236743, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236828, 236787, 236812, 236810, 8711, 59528, 138, 107, 138, 236829, 119137, 1749, 528, 62056, 236787, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 236829, 138, 107, 236772, 5213, 13293, 53121, 35874, 41861, 605, 133121, 236770, 236778, 236812, 138, 107, 138, 42265, 27071, 568, 236796, 10669, 236768, 236743, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 59528, 16130, 1572, 6333, 12462, 236798, 236743, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236787, 236800, 236771, 8711, 59528, 138, 107, 138, 236829, 119137, 1749, 528, 27071, 236787, 236743, 236812, 236810, 236757, 236829, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236819, 236800, 236770, 236761, 236810, 236771, 568, 178131, 236768, 138, 108, 1018, 10176, 30970, 19993, 53121, 138, 107, 123230, 41861, 605, 5469, 496, 1982, 10224, 5213, 73344, 236819, 236828, 236832, 1018, 699, 12462, 236798, 531, 62056, 568, 236773, 13200, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236778, 236764, 75389, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 59528, 607, 496, 5213, 236800, 236771, 236772, 20353, 6267, 1749, 528, 62056, 1018, 568, 21314, 236761, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 528, 822, 1873, 22479, 769, 111917, 990, 12853, 822, 1873, 10224, 568, 236828, 236787, 236812, 236810, 8711, 59528, 769, 138, 108, 1018, 26253, 53121, 138, 107, 236770, 236761, 62056, 17526, 568, 236773, 13200, 236768, 563, 506, 24119, 3262, 16047, 531, 1700, 25690, 2032, 236786, 28118, 2677, 568, 17868, 236761, 236743, 236770, 236761, 236810, 236772, 13807, 5697, 769, 138, 107, 236778, 236761, 669, 1982, 10224, 17707, 6267, 1749, 990, 840, 120352, 8427, 3209, 236761, 79913, 1149, 9729, 768, 611, 5702, 3835, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 506, 1982, 10224, 133121, 236819, 236828, 236832, 3342, 653, 6253, 822, 994, 76717, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 3835, 236761, 3792, 786, 1751, 1390, 669, 1982, 10224, 133121, 236819, 236828, 236832, 236858, 236751, 20532, 6267, 1749, 12054, 2480, 1082, 506, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 236764, 840, 564, 236858, 236757, 10099, 1003, 506, 994, 2420, 236761, 5612, 564, 236858, 859, 577, 19447, 3541, 103772, 568, 229114, 531, 62056, 779, 4030, 506, 27071, 27197, 568, 236796, 10669, 236768, 13586, 4481, 4301, 990, 532, 2157, 531, 974, 1063, 531, 506, 16047, 236761, 3199, 611, 2426, 1156, 2432, 236881, 236743, 236770, 236761, 2900, 236858, 236751, 506, 5213, 9707, 4954, 1018, 573, 26182, 531, 506, 1982, 10224, 133121, 236819, 236828, 236832, 568, 9402, 236798, 238183, 236773, 13200, 236768, 7728, 236761, 1041, 1873, 22479, 236881, 236743, 236778, 236761, 9354, 993, 994, 22344, 699, 5213, 175454, 568, 236773, 13200, 62902, 531, 12462, 236798, 580, 236743, 236771, 236819, 236786, 236770, 236819, 600, 2036, 2514, 506, 6267, 1749, 1208, 614, 6468, 236881, 2981, 236858, 236753, 5383, 786, 236743, 236770, 236761, 236810, 3885, 529, 9204, 1546, 1595, 236761, 6542, 236764, 768, 506, 1982, 10224, 563, 8792, 919, 11162, 236764, 7463, 625, 236858, 236751, 711, 5367, 625, 236761, 3792, 236858, 236751, 7002, 990, 532, 2157, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 7750, 236832, 236828, 236819, 236778, 236770, 827, 623, 4818, 1083, 623, 87877, 827, 623, 30861, 236779, 13308, 1083, 3714, 725, 10633, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236819, 236828, 236832, 827, 623, 20205, 1083, 623, 9402, 236798, 827, 623, 34598, 1083, 623, 236773, 13200, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236800, 236774, 236771, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236812, 236828, 236810, 236761, 236771, 236764, 623, 7800, 1749, 1083, 623, 12293, 23179, 623, 2060, 1083, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236819, 236828, 236828, 827, 623, 20205, 1083, 623, 236773, 13200, 827, 623, 34598, 1083, 623, 9402, 236798, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7800, 1749, 1083, 623, 236810, 236810, 4310, 827, 623, 9707, 1083, 236743, 236810, 236770, 236771, 236761, 236771, 5237, 623, 6725, 236779, 9707, 1083, 236743, 236819, 236819, 236810, 236761, 236771, 236764, 623, 9707, 236779, 44251, 236779, 21314, 236779, 4002, 236779, 61823, 1083, 753, 236778, 236810, 236761, 236771, 236764, 623, 2060, 236779, 120177, 236779, 18700, 1083, 1847, 236764, 623, 24471, 236779, 4818, 1083, 623, 47382, 827, 623, 104094, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 2721, 580, 822, 4137, 236787, 108, 10354, 236743, 236770, 236761, 5213, 11280, 64767, 573, 5890, 30970, 133121, 236819, 236828, 236832, 1018, 138, 107, 236772, 5213, 8782, 66591, 568, 14042, 236772, 10176, 1473, 1018, 609, 236819, 236800, 236770, 236761, 236810, 236771, 138, 107, 236772, 5213, 10176, 30970, 133121, 236819, 236828, 236832, 568, 9402, 236798, 238183, 236773, 13200, 236768, 900, 9657, 699, 555, 13200, 53121, 609, 236819, 236819, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 11280, 64767, 53121, 5213, 30766, 236825, 236800, 236761, 236810, 236771, 1018, 568, 2217, 125741, 236778, 236810, 618, 9456, 528, 506, 5904, 3072, 237028, 13534, 1149, 577, 496, 14988, 3165, 528, 506, 1458, 769, 138, 108, 10354, 236743, 236778, 236761, 5213, 13293, 115058, 699, 62056, 568, 236773, 13200, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236819, 1018, 138, 107, 236772, 5213, 10784, 236764, 2487, 53121, 138, 107, 138, 236772, 5213, 34105, 133121, 236819, 236828, 236828, 1018, 120352, 555, 13200, 657, 5213, 236770, 236770, 236787, 236812, 236810, 8151, 59528, 1018, 568, 28118, 2677, 990, 779, 36522, 12462, 236798, 657, 5213, 236800, 236787, 236800, 236771, 8711, 59528, 84750, 138, 107, 138, 236772, 5213, 119137, 1749, 53121, 5213, 236810, 236810, 4310, 1018, 568, 6460, 822, 236743, 236770, 236772, 13807, 14272, 769, 138, 108, 10354, 9533, 12774, 50914, 236787, 138, 107, 236772, 5213, 2866, 62480, 53121, 138, 107, 138, 236772, 5890, 10224, 133121, 236819, 236828, 236832, 53595, 6267, 1749, 528, 62056, 568, 236771, 236754, 7728, 236761, 236743, 236770, 236754, 236743, 236800, 236771, 236757, 769, 138, 107, 138, 236772, 9657, 10224, 699, 555, 13200, 69281, 9204, 531, 27071, 568, 177142, 2578, 236800, 3885, 2558, 769, 138, 107, 236772, 5213, 23077, 17648, 236772, 2865, 53121, 138, 107, 138, 236772, 5890, 10224, 13586, 202721, 236825, 236800, 236761, 236810, 236771, 531, 822, 2558, 236761, 138, 107, 138, 236772, 1637, 7715, 236772, 46443, 236764, 822, 3303, 22479, 7474, 4341, 840, 7087, 4481, 4301, 990, 236761, 138, 108, 1018, 211199, 53121, 138, 107, 2859, 822, 2958, 10368, 5862, 19142, 236764, 506, 1982, 10224, 532, 555, 13200, 994, 7002, 990, 532, 2157, 23057, 236761, 21284, 611, 1133, 531, 7162, 607, 672, 10448, 76717, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236761, 669, 609, 236825, 236800, 236761, 236810, 236771, 4954, 563, 78407, 768, 625, 32635, 990, 237028, 38279, 2338, 31983, 506, 27071, 5697, 5021, 786, 919, 3885, 573, 2958, 236761, 3792, 236858, 236751, 7162, 607, 236787, 236743, 236770, 236761, 5213, 3949, 10633, 53121, 5890, 10224, 5213, 73344, 236819, 236828, 236832, 1018, 568, 9402, 236798, 238183, 236773, 13200, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 59528, 236761, 236743, 236778, 236761, 5213, 13293, 53121, 30970, 5213, 73344, 236819, 236828, 236828, 1018, 699, 62056, 568, 236773, 13200, 238183, 9402, 236798, 236768, 580, 236743, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236770, 236787, 236812, 236810, 8151, 59528, 236761, 3199, 611, 4610, 1041, 22479, 607, 1239, 3731, 532, 9128, 506, 1626, 2558, 236881, 6542, 236764, 2338, 564, 236858, 859, 577, 73054, 496, 1295, 657, 62056, 236764, 1677, 506, 16257, 990, 568, 236828, 236787, 236812, 236810, 8711, 59528, 236768, 580, 506, 236743, 236770, 236778, 594, 2583, 786, 3487, 990, 531, 4351, 872, 506, 20310, 1680, 4996, 236881, 568, 84585, 528, 62056, 528, 5857, 563, 2101, 236743, 236832, 236787, 236800, 236771, 8711, 236764, 564, 1751, 2907, 106, 107, 105, 4368, 107, 1018, 41778, 66591, 13810, 8593, 568, 70329, 5853, 236787, 16586, 236832, 236828, 236819, 236778, 236770, 1473, 1018, 138, 107, 236770, 236761, 5213, 3949, 10633, 53121, 35874, 41861, 605, 133121, 236819, 236828, 236832, 568, 9402, 236798, 238183, 236773, 13200, 236768, 138, 107, 139, 236772, 163351, 236787, 5213, 236771, 236819, 236786, 236770, 236778, 657, 236743, 236770, 236812, 236787, 236778, 236771, 59528, 1018, 568, 236770, 236771, 236787, 236778, 236771, 8151, 102775, 236768, 138, 107, 139, 236772, 111917, 236787, 5213, 236771, 236819, 236786, 236770, 236800, 657, 236743, 236771, 236825, 236787, 236770, 236810, 59528, 1018, 568, 236832, 236787, 236770, 236810, 8151, 42163, 236768, 138, 107, 236778, 236761, 5213, 13293, 53121, 35874, 41861, 605, 133121, 236819, 236828, 236828, 568, 236773, 13200, 238183, 9402, 236798, 236768, 138, 107, 139, 236772, 163351, 236787, 5213, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236770, 236787, 236812, 236810, 59528, 1018, 568, 236770, 236778, 236787, 236812, 236810, 8711, 42163, 236768, 138, 107, 139, 236772, 111917, 236787, 5213, 236771, 236819, 236786, 236770, 236819, 657, 236743, 236770, 236810, 236787, 236800, 236771, 59528, 1018, 568, 236770, 236770, 236787, 236800, 236771, 8151, 102775, 236768, 138, 108, 1018, 17667, 12613, 11117, 53121, 609, 236819, 236819, 236810, 236761, 236771, 236771, 568, 178131, 236768, 138, 108, 7243, 108, 10354, 5213, 132887, 3331, 121722, 61018, 2540, 1018, 138, 107, 11069, 5213, 46353, 528, 62056, 568, 236773, 13200, 236768, 563, 657, 236743, 236771, 236825, 236787, 236770, 236810, 59528, 568, 236832, 236787, 236770, 236810, 8151, 2263, 990, 62902, 580, 5857, 236743, 236770, 236800, 594, 236764, 5213, 2217, 5857, 236743, 236770, 236778, 594, 657, 236743, 236828, 236787, 236812, 236810, 8711, 59528, 84750, 80126, 528, 62056, 528, 5857, 563, 2101, 5213, 236825, 236787, 236771, 236771, 8151, 2263, 990, 125546, 834, 611, 236858, 859, 2601, 1164, 1308, 36597, 236761, 1174, 5021, 611, 5213, 1622, 58745, 1018, 531, 4351, 872, 822, 20310, 1295, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236772, 64063, 1295, 20310, 35312, 100146, 607, 506, 16047, 236858, 236751, 8115, 3885, 568, 3374, 13253, 1932, 684, 236743, 236832, 236787, 236771, 236771, 8151, 769, 138, 107, 236772, 14066, 16329, 1131, 822, 1700, 25690, 2032, 22162, 580, 506, 236743, 236770, 236800, 594, 568, 1496, 3223, 3885, 573, 22260, 769, 138, 108, 38786, 611, 1133, 786, 531, 6361, 607, 1295, 20310, 15136, 653, 2263, 81124, 3835, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2290, 3446, 532, 1202, 531, 10741, 1534, 21469, 653, 11690, 5085, 2721, 580, 506, 7606, 236761, 5315, 236764, 2426, 506, 1806, 236772, 180981, 7606, 14415, 573, 9975, 162533, 236764, 36261, 568, 56220, 236743, 236812, 236825, 236761, 236828, 236832, 236825, 236812, 237366, 646, 236764, 236743, 236819, 236812, 236761, 236812, 236770, 236825, 236832, 237366, 649, 236768, 573, 506, 2148, 236743, 236770, 236812, 2668, 1699, 506, 1806, 236779, 180981, 5904, 236761, 4934, 506, 14415, 1262, 236764, 8430, 506, 6376, 1494, 11139, 1131, 614, 3499, 236761, 4298, 236764, 1161, 1586, 236779, 2074, 236779, 2394, 531, 6054, 506, 7310, 4022, 1913, 672, 2846, 236761, 1637, 506, 2631, 6262, 32839, 236743, 236828, 236771, 237366, 236811, 236764, 564, 236789, 859, 1202, 21469, 4588, 6549, 236761, 3792, 236789, 236751, 1502, 607, 506, 14415, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236825, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236828, 236770, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236828, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236810, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236800, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236778, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236832, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236778, 236764, 623, 19216, 1083, 623, 22631, 25938, 1604, 623, 7617, 6805, 1083, 623, 236811, 827, 623, 7125, 1083, 623, 236812, 236825, 236761, 236828, 236832, 236825, 236812, 10442, 236819, 236812, 236761, 236812, 236770, 236825, 236832, 827, 623, 21448, 1083, 623, 47158, 236786, 49548, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2074, 236779, 2394, 1083, 236743, 236828, 236770, 236783, 106, 107, 105, 4368, 107, 818, 7310, 4022, 1913, 506, 14415, 2846, 563, 5213, 236828, 236770, 237366, 236811, 84750, 5612, 672, 32839, 236743, 236828, 236771, 237366, 236811, 236764, 611, 1374, 2731, 21469, 4588, 6549, 573, 822, 2290, 3446, 236761, 106, 107, 105, 2364, 107, 10081, 506, 4022, 2473, 5370, 236743, 236828, 236770, 237366, 236811, 236764, 1531, 236789, 236751, 9385, 21469, 2290, 6549, 236761, 6890, 5213, 2305, 236779, 83027, 1018, 531, 1586, 4913, 21469, 2290, 3446, 19205, 684, 19460, 573, 46331, 607, 30154, 1133, 13659, 174652, 8802, 43146, 201298, 236775, 653, 13659, 44289, 53459, 52566, 3056, 4298, 236764, 49573, 506, 1346, 3364, 653, 9578, 19205, 531, 1601, 786, 2731, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236819, 236800, 236771, 236812, 236828, 236810, 236778, 236770, 236810, 236778, 236825, 236819, 236828, 236771, 236828, 236770, 236771, 827, 623, 1005, 1083, 623, 101471, 614, 21469, 2290, 3446, 236881, 15325, 14317, 2978, 8991, 607, 4690, 236888, 621, 689, 236828, 236800, 236744, 236785, 689, 893, 236819, 997, 174652, 8802, 43146, 201298, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236819, 236800, 236771, 236812, 236828, 236770, 236778, 236800, 236810, 236832, 236825, 236770, 236770, 236810, 236778, 236800, 236770, 827, 623, 1005, 1083, 623, 57949, 506, 5387, 607, 3905, 2290, 53451, 532, 35208, 131782, 22998, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 30015, 236778, 997, 44289, 53459, 52566, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236778, 236770, 236787, 236800, 236770, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236819, 236800, 236771, 236812, 236832, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 1005, 1083, 623, 174652, 4972, 236787, 11994, 2290, 2556, 176239, 236764, 3733, 61573, 40472, 236764, 532, 12951, 26460, 81718, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236744, 997, 174652, 8802, 43146, 201298, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236778, 236771, 236787, 236812, 236810, 236953, 25938, 1604, 623, 21052, 1083, 3714, 3709, 236779, 2861, 1083, 236743, 236800, 236764, 623, 19859, 236779, 7212, 1083, 623, 501, 127096, 106, 107, 105, 4368, 107, 8291, 659, 4913, 21469, 2290, 3446, 19205, 699, 4803, 46331, 236787, 108, 236772, 5213, 74895, 18120, 74850, 66515, 112200, 29344, 236772, 73260, 607, 4690, 236761, 138, 107, 236772, 5213, 17839, 9064, 10990, 30353, 66515, 93303, 1441, 607, 59454, 653, 861, 25282, 236761, 138, 107, 236772, 5213, 101457, 215559, 88691, 66515, 13287, 131782, 4137, 36443, 531, 822, 2299, 236858, 236751, 10521, 236761, 138, 107, 236772, 5213, 10485, 9064, 2481, 176239, 66515, 10765, 236772, 5140, 653, 8935, 18612, 14845, 236761, 138, 107, 236772, 5213, 9789, 842, 19655, 25966, 2020, 66515, 66257, 72990, 607, 5663, 8991, 236761, 138, 107, 236772, 5213, 179247, 72289, 33857, 3844, 66515, 29722, 236772, 1555, 615, 590, 25441, 607, 52705, 2780, 532, 48069, 236761, 138, 108, 9208, 6549, 7002, 2317, 532, 24597, 1651, 10264, 5427, 44081, 236888, 204906, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1386, 506, 2290, 3446, 1581, 2480, 236888, 6890, 5213, 67422, 236779, 22487, 1018, 531, 12270, 40718, 10103, 58442, 1239, 21469, 4972, 684, 19460, 573, 2430, 623, 8802, 43146, 201298, 236775, 532, 44262, 623, 174652, 8802, 43146, 3056, 121353, 506, 10103, 531, 1460, 837, 4972, 1385, 1346, 21964, 236764, 1299, 49573, 822, 12396, 834, 564, 740, 4351, 506, 1791, 5906, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22487, 1083, 78493, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 827, 623, 2364, 1083, 623, 8802, 43146, 201298, 827, 623, 67422, 1083, 623, 174652, 8802, 43146, 827, 623, 3955, 1083, 623, 3910, 531, 4253, 496, 131782, 3446, 657, 2033, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 827, 623, 13084, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 1263, 3714, 547, 1083, 623, 177928, 236825, 236832, 236828, 236819, 236771, 827, 623, 2364, 1083, 623, 8802, 43146, 201298, 827, 623, 67422, 1083, 623, 174652, 8802, 43146, 827, 623, 3955, 1083, 623, 101457, 14317, 2978, 10884, 573, 4402, 621, 689, 236828, 236800, 236744, 236785, 689, 893, 236819, 827, 623, 13084, 1083, 236743, 236819, 236828, 236771, 236771, 104960, 623, 4874, 236779, 10617, 1083, 236743, 236778, 236764, 623, 6725, 236779, 22487, 1083, 236743, 236770, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 28263, 236779, 547, 1083, 623, 13422, 236812, 236810, 236825, 236832, 827, 623, 4818, 1083, 623, 40812, 827, 623, 12103, 1083, 3714, 92506, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 5567, 1555, 236779, 39699, 236751, 236779, 121774, 1083, 11058, 50262, 19519, 827, 623, 3147, 2290, 10884, 827, 623, 5000, 9553, 14255, 623, 19001, 236779, 27297, 1083, 236743, 236810, 236828, 1807, 106, 107, 105, 4368, 107, 22515, 580, 506, 40718, 44262, 3671, 532, 2948, 19317, 236787, 108, 236770, 236761, 5213, 8534, 236772, 173621, 11994, 66515, 138, 107, 139, 71510, 3910, 531, 4253, 496, 131782, 3446, 657, 2033, 9332, 236829, 568, 236770, 236810, 236764, 236771, 236771, 236771, 8208, 236768, 138, 107, 139, 236772, 5213, 227187, 27242, 66515, 236743, 236832, 236828, 236786, 236770, 236771, 236771, 138, 107, 139, 236772, 5213, 3503, 24246, 236751, 228274, 66515, 75012, 19519, 236764, 3905, 2290, 10884, 236764, 532, 4155, 9553, 138, 107, 139, 236772, 5213, 21160, 66515, 236743, 236810, 236828, 9093, 568, 28438, 1117, 532, 2970, 236772, 51958, 236768, 138, 108, 236778, 236761, 5213, 74895, 18120, 37827, 66515, 138, 107, 139, 71510, 101457, 14317, 2978, 573, 4402, 147698, 568, 236819, 236764, 236828, 236771, 236771, 8208, 236768, 138, 107, 139, 236772, 24246, 236751, 3600, 4916, 236772, 498, 29344, 236772, 21125, 532, 2299, 13859, 568, 495, 12645, 699, 1868, 6492, 769, 138, 108, 1018, 201430, 66515, 138, 107, 236772, 22282, 77372, 5213, 229323, 22998, 1018, 568, 11480, 15154, 532, 3735, 10884, 769, 138, 107, 236772, 12213, 496, 5213, 101457, 14317, 2978, 1018, 573, 21931, 2299, 8991, 236761, 138, 107, 236772, 14066, 18531, 1800, 236787, 9187, 607, 131782, 236764, 1299, 7140, 531, 14317, 2978, 236772, 3061, 58304, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 919, 40718, 12714, 653, 59638, 506, 3671, 3342, 236881, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2290, 3446, 532, 1202, 531, 10741, 1534, 21469, 653, 11690, 5085, 2721, 580, 506, 7606, 236761, 5315, 236764, 2426, 506, 1806, 236772, 180981, 7606, 14415, 573, 9975, 162533, 236764, 36261, 568, 56220, 236743, 236812, 236825, 236761, 236828, 236832, 236825, 236812, 237366, 646, 236764, 236743, 236819, 236812, 236761, 236812, 236770, 236825, 236832, 237366, 649, 236768, 573, 506, 2148, 236743, 236770, 236812, 2668, 1699, 506, 1806, 236779, 180981, 5904, 236761, 4934, 506, 14415, 1262, 236764, 8430, 506, 6376, 1494, 11139, 1131, 614, 3499, 236761, 4298, 236764, 1161, 1586, 236779, 2074, 236779, 2394, 531, 6054, 506, 7310, 4022, 1913, 672, 2846, 236761, 1637, 506, 2631, 6262, 32839, 236743, 236828, 236771, 237366, 236811, 236764, 564, 236789, 859, 1202, 21469, 4588, 6549, 236761, 3792, 236789, 236751, 1502, 607, 506, 14415, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236825, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236828, 236770, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236828, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236810, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236800, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236778, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236825, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236832, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236772, 236771, 236810, 236787, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236778, 236764, 623, 19216, 1083, 623, 22631, 25938, 1604, 623, 7617, 6805, 1083, 623, 236811, 827, 623, 7125, 1083, 623, 236812, 236825, 236761, 236828, 236832, 236825, 236812, 10442, 236819, 236812, 236761, 236812, 236770, 236825, 236832, 827, 623, 21448, 1083, 623, 47158, 236786, 49548, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2074, 236779, 2394, 1083, 236743, 236828, 236770, 236783, 106, 107, 105, 4368, 107, 818, 7310, 4022, 1913, 506, 14415, 2846, 563, 5213, 236828, 236770, 237366, 236811, 84750, 5612, 672, 32839, 236743, 236828, 236771, 237366, 236811, 236764, 611, 1374, 2731, 21469, 4588, 6549, 573, 822, 2290, 3446, 236761, 106, 107, 105, 2364, 107, 10081, 506, 4022, 2473, 5370, 236743, 236828, 236770, 237366, 236811, 236764, 1531, 236789, 236751, 9385, 21469, 2290, 6549, 236761, 6890, 5213, 2305, 236779, 83027, 1018, 531, 1586, 4913, 21469, 2290, 3446, 19205, 684, 19460, 573, 46331, 607, 30154, 1133, 13659, 174652, 8802, 43146, 201298, 236775, 653, 13659, 44289, 53459, 52566, 3056, 4298, 236764, 49573, 506, 1346, 3364, 653, 9578, 19205, 531, 1601, 786, 2731, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236819, 236800, 236771, 236812, 236828, 236810, 236778, 236770, 236810, 236778, 236825, 236819, 236828, 236771, 236828, 236770, 236771, 827, 623, 1005, 1083, 623, 101471, 614, 21469, 2290, 3446, 236881, 15325, 14317, 2978, 8991, 607, 4690, 236888, 621, 689, 236828, 236800, 236744, 236785, 689, 893, 236819, 997, 174652, 8802, 43146, 201298, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236819, 236800, 236771, 236812, 236828, 236770, 236778, 236800, 236810, 236832, 236825, 236770, 236770, 236810, 236778, 236800, 236770, 827, 623, 1005, 1083, 623, 57949, 506, 5387, 607, 3905, 2290, 53451, 532, 35208, 131782, 22998, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 30015, 236778, 997, 44289, 53459, 52566, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236778, 236770, 236787, 236800, 236770, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236819, 236800, 236771, 236812, 236832, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 1005, 1083, 623, 174652, 4972, 236787, 11994, 2290, 2556, 176239, 236764, 3733, 61573, 40472, 236764, 532, 12951, 26460, 81718, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236744, 997, 174652, 8802, 43146, 201298, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236778, 236771, 236787, 236812, 236810, 236953, 25938, 1604, 623, 21052, 1083, 3714, 3709, 236779, 2861, 1083, 236743, 236800, 236764, 623, 19859, 236779, 7212, 1083, 623, 501, 127096, 106, 107, 105, 4368, 107, 8291, 659, 4913, 21469, 2290, 3446, 19205, 699, 4803, 46331, 236787, 108, 236772, 5213, 74895, 18120, 74850, 66515, 112200, 29344, 236772, 73260, 607, 4690, 236761, 138, 107, 236772, 5213, 17839, 9064, 10990, 30353, 66515, 93303, 1441, 607, 59454, 653, 861, 25282, 236761, 138, 107, 236772, 5213, 101457, 215559, 88691, 66515, 13287, 131782, 4137, 36443, 531, 822, 2299, 236858, 236751, 10521, 236761, 138, 107, 236772, 5213, 10485, 9064, 2481, 176239, 66515, 10765, 236772, 5140, 653, 8935, 18612, 14845, 236761, 138, 107, 236772, 5213, 9789, 842, 19655, 25966, 2020, 66515, 66257, 72990, 607, 5663, 8991, 236761, 138, 107, 236772, 5213, 179247, 72289, 33857, 3844, 66515, 29722, 236772, 1555, 615, 590, 25441, 607, 52705, 2780, 532, 48069, 236761, 138, 108, 9208, 6549, 7002, 2317, 532, 24597, 1651, 10264, 5427, 44081, 236888, 204906, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1386, 506, 2290, 3446, 1581, 2480, 236888, 6890, 5213, 67422, 236779, 22487, 1018, 531, 12270, 40718, 10103, 58442, 1239, 21469, 4972, 684, 19460, 573, 2430, 623, 8802, 43146, 201298, 236775, 532, 44262, 623, 174652, 8802, 43146, 3056, 121353, 506, 10103, 531, 1460, 837, 4972, 1385, 1346, 21964, 236764, 1299, 49573, 822, 12396, 834, 564, 740, 4351, 506, 1791, 5906, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22487, 1083, 78493, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 827, 623, 2364, 1083, 623, 8802, 43146, 201298, 827, 623, 67422, 1083, 623, 174652, 8802, 43146, 827, 623, 3955, 1083, 623, 3910, 531, 4253, 496, 131782, 3446, 657, 2033, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 827, 623, 13084, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 1263, 3714, 547, 1083, 623, 177928, 236825, 236832, 236828, 236819, 236771, 827, 623, 2364, 1083, 623, 8802, 43146, 201298, 827, 623, 67422, 1083, 623, 174652, 8802, 43146, 827, 623, 3955, 1083, 623, 101457, 14317, 2978, 10884, 573, 4402, 621, 689, 236828, 236800, 236744, 236785, 689, 893, 236819, 827, 623, 13084, 1083, 236743, 236819, 236828, 236771, 236771, 104960, 623, 4874, 236779, 10617, 1083, 236743, 236778, 236764, 623, 6725, 236779, 22487, 1083, 236743, 236770, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 28263, 236779, 547, 1083, 623, 13422, 236812, 236810, 236825, 236832, 827, 623, 4818, 1083, 623, 40812, 827, 623, 12103, 1083, 3714, 92506, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 5567, 1555, 236779, 39699, 236751, 236779, 121774, 1083, 11058, 50262, 19519, 827, 623, 3147, 2290, 10884, 827, 623, 5000, 9553, 14255, 623, 19001, 236779, 27297, 1083, 236743, 236810, 236828, 1807, 106, 107, 105, 4368, 107, 22515, 580, 506, 40718, 44262, 3671, 532, 2948, 19317, 236787, 108, 236770, 236761, 5213, 8534, 236772, 173621, 11994, 66515, 138, 107, 139, 71510, 3910, 531, 4253, 496, 131782, 3446, 657, 2033, 9332, 236829, 568, 236770, 236810, 236764, 236771, 236771, 236771, 8208, 236768, 138, 107, 139, 236772, 5213, 227187, 27242, 66515, 236743, 236832, 236828, 236786, 236770, 236771, 236771, 138, 107, 139, 236772, 5213, 3503, 24246, 236751, 228274, 66515, 75012, 19519, 236764, 3905, 2290, 10884, 236764, 532, 4155, 9553, 138, 107, 139, 236772, 5213, 21160, 66515, 236743, 236810, 236828, 9093, 568, 28438, 1117, 532, 2970, 236772, 51958, 236768, 138, 108, 236778, 236761, 5213, 74895, 18120, 37827, 66515, 138, 107, 139, 71510, 101457, 14317, 2978, 573, 4402, 147698, 568, 236819, 236764, 236828, 236771, 236771, 8208, 236768, 138, 107, 139, 236772, 24246, 236751, 3600, 4916, 236772, 498, 29344, 236772, 21125, 532, 2299, 13859, 568, 495, 12645, 699, 1868, 6492, 769, 138, 108, 1018, 201430, 66515, 138, 107, 236772, 22282, 77372, 5213, 229323, 22998, 1018, 568, 11480, 15154, 532, 3735, 10884, 769, 138, 107, 236772, 12213, 496, 5213, 101457, 14317, 2978, 1018, 573, 21931, 2299, 8991, 236761, 138, 107, 236772, 14066, 18531, 1800, 236787, 9187, 607, 131782, 236764, 1299, 7140, 531, 14317, 2978, 236772, 3061, 58304, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 919, 40718, 12714, 653, 59638, 506, 3671, 3342, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 5608, 506, 4981, 529, 784, 14134, 5842, 657, 1041, 120621, 188040, 4563, 531, 10368, 9626, 236761, 9187, 684, 67896, 496, 1694, 529, 784, 6638, 7359, 1699, 974, 236779, 236778, 236778, 236761, 4298, 236764, 5957, 506, 2536, 531, 1407, 1186, 7359, 607, 623, 236745, 1399, 13795, 236775, 653, 623, 115774, 12406, 236775, 528, 910, 1722, 6492, 236761, 1701, 1546, 16590, 4744, 236764, 2426, 768, 506, 623, 5455, 236779, 95503, 236779, 1896, 236775, 2135, 563, 9862, 1082, 236743, 236825, 3794, 236761, 1637, 1027, 7359, 5121, 531, 994, 19455, 236764, 52312, 506, 7609, 607, 496, 236743, 236810, 236772, 8556, 27791, 236761, 13472, 236764, 25774, 496, 2072, 20104, 7359, 38702, 2509, 607, 910, 4563, 16616, 532, 10340, 9626, 7419, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236774, 236770, 236778, 236800, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 4818, 1083, 623, 23557, 827, 623, 138097, 1083, 3714, 5455, 236779, 27531, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 33786, 236779, 38651, 1083, 9296, 236832, 236810, 58815, 236757, 23179, 623, 29263, 1083, 3714, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 223244, 236779, 45118, 1083, 236743, 236819, 236810, 236761, 236810, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236778, 5237, 3714, 10212, 236779, 547, 1083, 623, 236799, 236812, 236810, 236825, 827, 623, 10212, 236779, 2084, 1083, 623, 22893, 835, 45199, 827, 623, 4818, 1083, 623, 109076, 827, 623, 138097, 1083, 3714, 5455, 236779, 27531, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 33786, 236779, 38651, 1083, 2303, 1263, 623, 29263, 1083, 3714, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236778, 236771, 827, 623, 223244, 236779, 45118, 1083, 236743, 236828, 236771, 236761, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236810, 5237, 3714, 10212, 236779, 547, 1083, 623, 236788, 236832, 236828, 236819, 827, 623, 10212, 236779, 2084, 1083, 623, 43632, 7957, 800, 827, 623, 4818, 1083, 623, 23557, 827, 623, 138097, 1083, 3714, 5455, 236779, 27531, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 33786, 236779, 38651, 1083, 9296, 236825, 236828, 58815, 236757, 23179, 623, 29263, 1083, 3714, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 223244, 236779, 45118, 1083, 236743, 236819, 236771, 236761, 236778, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236770, 1807, 1604, 623, 6725, 236779, 64924, 1083, 236743, 236770, 236810, 236771, 236764, 623, 4243, 101085, 236779, 2861, 1083, 236743, 236800, 236764, 623, 33800, 1083, 623, 16340, 29839, 531, 236743, 236770, 236771, 236771, 7359, 236761, 6890, 73694, 573, 2587, 1694, 1781, 236783, 106, 107, 105, 4368, 107, 1018, 105318, 30076, 8708, 573, 120621, 220022, 43459, 29187, 1018, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 28293, 524, 59472, 1018, 107, 78732, 16590, 623, 236745, 1399, 13795, 236775, 653, 623, 115774, 12406, 236775, 528, 1722, 6492, 236787, 107, 236770, 236761, 5213, 236774, 236770, 236778, 236800, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 18365, 236787, 13118, 138, 107, 139, 236772, 11662, 40675, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 568, 236819, 3794, 4578, 236768, 138, 107, 139, 236772, 116589, 236787, 749, 55199, 236743, 236819, 236810, 236761, 236810, 10014, 236743, 236778, 9825, 138, 108, 236778, 236761, 5213, 236799, 236812, 236810, 236825, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 18365, 236787, 137201, 138, 107, 139, 236772, 11662, 40675, 236787, 236743, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236778, 236771, 568, 236770, 236770, 3794, 4578, 236768, 138, 107, 139, 236772, 116589, 236787, 749, 55199, 236743, 236828, 236771, 236761, 236771, 10014, 236743, 236810, 9825, 138, 108, 236829, 15539, 645, 236832, 236828, 236819, 568, 43632, 7957, 800, 236768, 26558, 810, 35129, 13138, 9603, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 40675, 91330, 1018, 107, 236772, 5213, 236774, 236770, 236778, 236800, 568, 236774, 1399, 13795, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 27468, 15668, 9626, 568, 49163, 25000, 236764, 6474, 17611, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 4819, 3165, 1527, 568, 236778, 236768, 532, 169179, 3426, 236743, 236819, 236828, 236908, 3600, 9875, 8785, 236761, 138, 108, 236772, 5213, 236799, 236812, 236810, 236825, 568, 22893, 835, 45199, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 22282, 77372, 32034, 2509, 568, 109076, 4981, 236764, 1494, 3165, 1527, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 43669, 1202, 2779, 531, 35726, 4981, 532, 2708, 169179, 568, 236828, 236771, 37507, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 73022, 1018, 107, 236772, 5213, 41941, 21617, 64663, 53121, 32236, 4563, 28436, 691, 711, 5012, 528, 506, 9299, 3072, 236761, 138, 107, 236772, 5213, 902, 17302, 4361, 53121, 17647, 29839, 531, 236743, 236770, 236771, 236771, 236786, 236770, 236810, 236771, 2558, 7359, 236761, 6890, 73694, 573, 2587, 18241, 236761, 138, 107, 236772, 5213, 129822, 32236, 53121, 603, 236812, 236810, 236825, 7087, 13258, 5700, 531, 21374, 27347, 236761, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 6890, 2165, 828, 236779, 236778, 236778, 236929, 607, 73694, 20442, 17846, 236784, 236770, 236771, 236771, 8347, 2165, 10617, 236784, 236770, 236771, 236771, 18833, 531, 33205, 9866, 7359, 236761, 138, 107, 236778, 236761, 2599, 1755, 16807, 11024, 573, 558, 236770, 236778, 236800, 532, 603, 236812, 236810, 236825, 768, 4563, 16616, 659, 47713, 528, 9299, 236761, 138, 107, 236800, 236761, 232601, 9626, 16677, 573, 9456, 7359, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 506, 7609, 653, 6778, 506, 2072, 236888, 106, 107, 105, 2364, 107, 818, 2072, 40826, 4744, 11024, 532, 15315, 236743, 236810, 236771, 7359, 236761, 12579, 822, 4313, 236787, 236743, 236770, 236761, 5315, 236764, 2246, 974, 236779, 236778, 236778, 607, 2165, 3917, 236779, 14517, 236784, 7125, 236779, 9088, 236929, 531, 33205, 4563, 1262, 236743, 236778, 236761, 4298, 1161, 73694, 20442, 17846, 236784, 236770, 236771, 236771, 8347, 2165, 10617, 236784, 236770, 236771, 236771, 18833, 531, 12270, 9866, 7359, 236743, 236800, 236761, 1701, 603, 236812, 236810, 236825, 568, 109076, 12406, 779, 52312, 1061, 7609, 236743, 236800, 236781, 607, 236743, 236810, 236751, 194600, 236743, 236812, 236761, 1276, 25956, 506, 2072, 607, 4133, 4563, 8283, 532, 784, 236743, 236770, 236810, 236771, 7359, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10617, 1083, 623, 14188, 711, 8008, 684, 5904, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236770, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 236779, 19112, 1083, 11058, 236874, 88537, 220022, 827, 623, 112798, 14133, 562, 14255, 623, 4818, 1083, 623, 5034, 827, 623, 138097, 1083, 623, 18941, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236771, 5237, 3714, 10212, 236779, 547, 1083, 623, 11526, 11998, 236771, 236771, 236778, 827, 623, 10212, 236779, 2084, 1083, 623, 22893, 835, 45199, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 236779, 19112, 1083, 11058, 236874, 88537, 220022, 827, 623, 204488, 18120, 14255, 623, 4818, 1083, 623, 5034, 827, 623, 138097, 1083, 623, 18941, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236819, 236810, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236770, 5237, 3714, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236800, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 236779, 19112, 1083, 11058, 236874, 88537, 220022, 827, 623, 112543, 51773, 14255, 623, 4818, 1083, 623, 5034, 827, 623, 138097, 1083, 623, 18941, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236771, 1807, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236799, 236812, 236810, 236825, 827, 623, 2084, 1083, 623, 236745, 1399, 13795, 827, 623, 4818, 1083, 623, 5034, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236810, 236812, 236778, 236764, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 1899, 236779, 2861, 1083, 236743, 236800, 1263, 623, 138097, 1083, 3714, 4818, 1083, 623, 18941, 827, 623, 33786, 236779, 38651, 1083, 623, 22468, 23179, 623, 7125, 236779, 9088, 1083, 623, 236874, 88537, 220022, 18120, 236743, 236778, 827, 623, 91180, 236779, 95503, 1083, 1847, 236764, 623, 65141, 524, 236779, 4636, 1083, 11058, 42762, 23143, 17393, 827, 623, 8571, 126774, 4249, 21615, 152254, 3714, 10212, 236779, 547, 1083, 623, 236780, 236832, 236828, 236819, 827, 623, 2084, 1083, 623, 115774, 12406, 827, 623, 4818, 1083, 623, 5034, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236800, 236828, 236771, 236764, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 82033, 236779, 28611, 1083, 623, 49426, 236779, 8572, 23179, 623, 138097, 1083, 3714, 4818, 1083, 623, 222727, 827, 623, 5455, 236779, 18941, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 623, 7125, 236779, 9088, 1083, 623, 236874, 88537, 117113, 43459, 14133, 827, 623, 91180, 236779, 95503, 1083, 2416, 236764, 623, 65141, 524, 236779, 4636, 1083, 11058, 212971, 3707, 13170, 99471, 1604, 623, 6011, 1083, 3714, 6725, 236779, 64924, 1083, 236743, 236778, 236764, 623, 64924, 236779, 866, 11258, 236779, 8114, 1083, 236743, 236770, 236764, 623, 56653, 236779, 132101, 1083, 236743, 236771, 1807, 106, 107, 105, 4368, 107, 1018, 41778, 40675, 30076, 8708, 573, 120621, 220022, 43459, 29187, 1018, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 26158, 32236, 52761, 1018, 138, 107, 1018, 9640, 59472, 34189, 53121, 236743, 236770, 236771, 236771, 568, 13205, 26919, 236787, 2631, 236743, 236770, 236771, 236771, 810, 2246, 236768, 138, 107, 1018, 75403, 59472, 568, 236774, 1399, 99992, 236786, 236799, 14493, 1473, 1018, 138, 107, 236770, 236761, 5213, 236774, 11913, 236771, 236771, 236770, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 236764, 44876, 14133, 562, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 568, 49426, 236743, 236825, 3794, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236778, 236771, 236771, 3885, 1456, 236764, 236743, 236771, 9825, 138, 108, 236778, 236761, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 236764, 100313, 18120, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 568, 49426, 236743, 236825, 3794, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236819, 236810, 236771, 3885, 1456, 236764, 236743, 236770, 3165, 138, 108, 236800, 236761, 5213, 236774, 11913, 236771, 236771, 236800, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 236764, 46586, 51773, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236771, 568, 236825, 236761, 236810, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236810, 236771, 236771, 3885, 1456, 236764, 236743, 236771, 9825, 138, 108, 236812, 236761, 5213, 236799, 236812, 236810, 236825, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 18120, 236743, 236778, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 568, 236819, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236810, 236812, 236778, 3885, 1456, 236764, 236743, 236800, 9825, 138, 108, 236829, 10282, 236787, 236743, 236810, 236771, 7359, 4595, 723, 236772, 4243, 101085, 2779, 531, 5904, 73694, 16305, 9603, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 40675, 91330, 1018, 138, 107, 236772, 5213, 236774, 11913, 236771, 236771, 236800, 568, 236774, 1399, 13795, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 27468, 9626, 568, 48321, 1021, 567, 236764, 6474, 17611, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 1787, 3641, 236751, 236743, 236825, 236772, 11283, 9626, 4771, 236761, 138, 108, 236772, 5213, 236799, 236812, 236810, 236825, 568, 22893, 835, 45199, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 187191, 2509, 3149, 236761, 138, 107, 138, 236772, 5213, 132617, 57354, 53121, 138, 107, 140, 236772, 44635, 23143, 17393, 138, 107, 140, 236772, 3134, 126774, 4249, 21615, 138, 107, 138, 236772, 5213, 26253, 53121, 236743, 236800, 9825, 4785, 236764, 1774, 9626, 236743, 236819, 3794, 4578, 236761, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 73022, 1018, 138, 107, 236772, 5213, 6375, 5774, 53121, 82521, 52236, 573, 784, 7359, 1699, 2165, 3917, 236779, 13308, 236784, 3397, 21233, 138, 107, 236772, 5213, 129822, 59472, 53121, 603, 236812, 236810, 236825, 563, 1492, 3489, 607, 623, 22468, 236775, 6953, 6332, 568, 56653, 6595, 769, 138, 107, 236772, 5213, 7741, 186612, 53121, 108204, 531, 33205, 9866, 236743, 236810, 236771, 7359, 2779, 531, 6220, 529, 73694, 1894, 236761, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 2599, 1755, 16807, 723, 236772, 4243, 101085, 7359, 1699, 9302, 4615, 236761, 138, 107, 236778, 236761, 27468, 9626, 573, 5213, 236774, 11913, 236771, 236771, 236800, 1018, 532, 5213, 236799, 236812, 236810, 236825, 1018, 6842, 236761, 138, 107, 236800, 236761, 26295, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 573, 3165, 9314, 1868, 236772, 95503, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 7609, 3342, 653, 3421, 5904, 16305, 236888, 106, 107, 105, 2364, 107, 818, 18241, 563, 2036, 36289, 753, 692, 735, 236743, 236770, 236810, 236771, 2558, 7359, 840, 1186, 52236, 236743, 236770, 236771, 236771, 236761, 32987, 506, 73694, 4313, 236787, 236743, 236770, 236761, 5315, 2246, 236787, 974, 236779, 236778, 236778, 236769, 17846, 236784, 236770, 236771, 236771, 236764, 9815, 236784, 236771, 236764, 3204, 236779, 14517, 236784, 7125, 236779, 9088, 236768, 236743, 236778, 236761, 9674, 2246, 236787, 974, 236779, 236778, 236778, 236769, 17846, 236784, 236810, 236771, 236764, 9815, 236784, 236770, 236771, 236771, 236764, 3204, 236779, 14517, 236784, 7125, 236779, 9088, 236768, 236743, 236800, 236761, 1701, 603, 236812, 236810, 236825, 236764, 1407, 506, 5396, 52312, 16972, 607, 27791, 13630, 236743, 236812, 236761, 1276, 25956, 2587, 2072, 607, 784, 236743, 236770, 236810, 236771, 7359, 532, 9626, 22680, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236770, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 4818, 1083, 623, 14009, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 236874, 88537, 220022, 753, 6400, 9519, 827, 623, 138097, 1083, 623, 38770, 827, 623, 24392, 236779, 3456, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236771, 1263, 3714, 10212, 236779, 547, 1083, 623, 11526, 11998, 236771, 236771, 236778, 827, 623, 10212, 236779, 2084, 1083, 623, 22893, 835, 45199, 827, 623, 4818, 1083, 623, 14009, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 7125, 1083, 623, 236874, 88537, 220022, 753, 233886, 27773, 827, 623, 138097, 1083, 623, 38770, 827, 623, 24392, 236779, 3456, 1083, 236743, 236819, 236828, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236800, 1263, 3714, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236800, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 4818, 1083, 623, 129822, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236771, 827, 623, 7125, 1083, 623, 236874, 88537, 220022, 753, 7429, 18120, 827, 623, 138097, 1083, 623, 167608, 827, 623, 24392, 236779, 3456, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236770, 236810, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236799, 236812, 236810, 236825, 827, 623, 10212, 236779, 2084, 1083, 623, 236745, 1399, 13795, 827, 623, 4818, 1083, 623, 5034, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 138097, 1083, 3714, 23557, 1083, 1847, 236764, 623, 5455, 236779, 18941, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 1899, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 1263, 623, 7125, 236779, 9088, 1083, 623, 236874, 88537, 236772, 99364, 214639, 236772, 66531, 236772, 34144, 236792, 827, 623, 79974, 2904, 236779, 4406, 1083, 623, 236766, 236778, 236761, 236800, 236761, 236770, 25938, 1604, 623, 6725, 236779, 64924, 1083, 236743, 236770, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 17667, 40675, 30076, 8708, 573, 120621, 220022, 43459, 29187, 1018, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 26158, 32236, 52761, 1018, 138, 107, 1018, 9640, 59472, 34189, 53121, 236743, 236770, 236771, 236771, 568, 13205, 26919, 236787, 2631, 236743, 236770, 236771, 236771, 810, 2246, 236768, 138, 107, 1018, 75403, 59472, 568, 236774, 1399, 99992, 236786, 236799, 14493, 1473, 1018, 138, 107, 236770, 236761, 5213, 236774, 11913, 236771, 236771, 236770, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 753, 6400, 9519, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 568, 49426, 236743, 236825, 3794, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236778, 236771, 236771, 3885, 1456, 236764, 236743, 236771, 9825, 138, 108, 236778, 236761, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 753, 233886, 27773, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 568, 236825, 236761, 236810, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236819, 236828, 236771, 3885, 1456, 236764, 236743, 236800, 9825, 138, 108, 236800, 236761, 5213, 236774, 11913, 236771, 236771, 236800, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 753, 7429, 18120, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236771, 568, 236770, 236770, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236810, 236771, 236771, 3885, 1456, 236764, 236743, 236770, 236810, 9825, 138, 107, 139, 236772, 5213, 6717, 53121, 137201, 568, 222727, 236768, 138, 108, 236812, 236761, 5213, 236799, 236812, 236810, 236825, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 236772, 99364, 214639, 236772, 66531, 236772, 34144, 236792, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 568, 39979, 236772, 13386, 17103, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236778, 236812, 236810, 3885, 1456, 236764, 236743, 236778, 236908, 3165, 3136, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 40675, 91330, 1018, 138, 107, 236772, 5213, 11526, 11998, 236771, 236771, 236778, 568, 22893, 835, 45199, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 27468, 9626, 568, 118821, 3165, 7021, 236764, 39174, 606, 6049, 4688, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 1787, 3641, 236751, 236743, 236825, 236772, 11283, 4771, 607, 236743, 236800, 9825, 4785, 236761, 138, 108, 236772, 5213, 236774, 11913, 236771, 236771, 236800, 568, 236774, 1399, 13795, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 187191, 2509, 3149, 236761, 138, 107, 138, 236772, 5213, 132617, 57354, 53121, 138, 107, 140, 236772, 225658, 35726, 4981, 532, 27347, 4342, 138, 107, 140, 236772, 44635, 23143, 6237, 568, 11480, 3165, 1527, 236768, 138, 107, 138, 236772, 5213, 26253, 53121, 11662, 9626, 236743, 236770, 236770, 3794, 4578, 236764, 236743, 236770, 236810, 9825, 32575, 236761, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 73022, 1018, 138, 107, 236772, 5213, 91859, 186612, 53121, 13474, 1677, 711, 1894, 2165, 10617, 236929, 7689, 236764, 25869, 51139, 529, 784, 236743, 236770, 236810, 236771, 7359, 236761, 138, 107, 236772, 5213, 236799, 236812, 236810, 236825, 138125, 142530, 53121, 138, 107, 138, 236772, 5213, 66295, 236743, 236770, 53121, 120635, 1308, 236743, 236810, 236751, 568, 17368, 35726, 4981, 769, 138, 107, 138, 236772, 5213, 66295, 236743, 236778, 53121, 120635, 1308, 236743, 236810, 236751, 236761, 138, 107, 138, 236772, 5213, 66295, 236743, 236800, 53121, 21942, 1271, 4744, 1492, 3489, 607, 59550, 566, 236778, 236761, 236800, 236761, 236770, 236761, 138, 107, 236772, 5213, 2100, 799, 8902, 617, 5201, 53121, 138, 107, 138, 236772, 603, 236812, 236810, 236825, 236858, 236751, 2165, 5455, 236779, 95503, 236779, 1896, 236929, 7412, 3402, 236772, 13386, 568, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 769, 138, 107, 138, 236772, 558, 11913, 236771, 236771, 236800, 7474, 35726, 607, 6749, 3165, 1527, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 8708, 25252, 1018, 138, 107, 236909, 5213, 15539, 5853, 1018, 1109, 5213, 2328, 1018, 145, 236909, 5213, 6375, 1018, 154, 236909, 5213, 115500, 40675, 1018, 1109, 5213, 47875, 1018, 157, 236909, 138, 107, 236909, 44042, 236909, 2819, 726, 236909, 2819, 44042, 236909, 2819, 1611, 236909, 2819, 2819, 236909, 138, 107, 236909, 30778, 11998, 236771, 236771, 236778, 143, 236909, 213033, 45199, 138, 236909, 120621, 220022, 753, 233886, 27773, 139, 236909, 8438, 156, 236909, 11662, 9626, 1890, 236825, 3794, 4578, 1109, 138, 107, 236909, 558, 11913, 236771, 236771, 236800, 142, 236909, 158256, 13795, 144, 236909, 120621, 220022, 753, 7429, 18120, 141, 236909, 8438, 156, 236909, 137201, 236764, 236743, 236770, 236810, 9825, 236764, 100662, 140, 236909, 138, 107, 236909, 603, 236812, 236810, 236825, 146, 236909, 158256, 13795, 144, 236909, 120621, 236772, 99364, 214639, 236772, 66531, 236772, 34144, 236792, 144, 236909, 1286, 9347, 152, 236909, 17143, 236772, 13386, 9626, 2212, 139, 236909, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 2599, 1755, 16807, 723, 236772, 4243, 101085, 236743, 236810, 236771, 7359, 4323, 5663, 18241, 236761, 138, 107, 236778, 236761, 10703, 11870, 603, 236812, 236810, 236825, 236858, 236751, 3402, 236772, 13386, 9626, 3423, 573, 1262, 17661, 236761, 138, 107, 236800, 236761, 22282, 77372, 32034, 2509, 573, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 532, 5213, 236774, 11913, 236771, 236771, 236800, 84750, 138, 107, 236812, 236761, 13948, 5904, 1894, 531, 2864, 73694, 20442, 10617, 18833, 18544, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 3342, 653, 129768, 4744, 236772, 15396, 7419, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 5608, 506, 4981, 529, 784, 14134, 5842, 657, 1041, 120621, 188040, 4563, 531, 10368, 9626, 236761, 9187, 684, 67896, 496, 1694, 529, 784, 6638, 7359, 1699, 974, 236779, 236778, 236778, 236761, 4298, 236764, 5957, 506, 2536, 531, 1407, 1186, 7359, 607, 623, 236745, 1399, 13795, 236775, 653, 623, 115774, 12406, 236775, 528, 910, 1722, 6492, 236761, 1701, 1546, 16590, 4744, 236764, 2426, 768, 506, 623, 5455, 236779, 95503, 236779, 1896, 236775, 2135, 563, 9862, 1082, 236743, 236825, 3794, 236761, 1637, 1027, 7359, 5121, 531, 994, 19455, 236764, 52312, 506, 7609, 607, 496, 236743, 236810, 236772, 8556, 27791, 236761, 13472, 236764, 25774, 496, 2072, 20104, 7359, 38702, 2509, 607, 910, 4563, 16616, 532, 10340, 9626, 7419, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236774, 236770, 236778, 236800, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 4818, 1083, 623, 23557, 827, 623, 138097, 1083, 3714, 5455, 236779, 27531, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 33786, 236779, 38651, 1083, 9296, 236832, 236810, 58815, 236757, 23179, 623, 29263, 1083, 3714, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 223244, 236779, 45118, 1083, 236743, 236819, 236810, 236761, 236810, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236778, 5237, 3714, 10212, 236779, 547, 1083, 623, 236799, 236812, 236810, 236825, 827, 623, 10212, 236779, 2084, 1083, 623, 22893, 835, 45199, 827, 623, 4818, 1083, 623, 109076, 827, 623, 138097, 1083, 3714, 5455, 236779, 27531, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 33786, 236779, 38651, 1083, 2303, 1263, 623, 29263, 1083, 3714, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236778, 236771, 827, 623, 223244, 236779, 45118, 1083, 236743, 236828, 236771, 236761, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236810, 5237, 3714, 10212, 236779, 547, 1083, 623, 236788, 236832, 236828, 236819, 827, 623, 10212, 236779, 2084, 1083, 623, 43632, 7957, 800, 827, 623, 4818, 1083, 623, 23557, 827, 623, 138097, 1083, 3714, 5455, 236779, 27531, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 33786, 236779, 38651, 1083, 9296, 236825, 236828, 58815, 236757, 23179, 623, 29263, 1083, 3714, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 223244, 236779, 45118, 1083, 236743, 236819, 236771, 236761, 236778, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236770, 1807, 1604, 623, 6725, 236779, 64924, 1083, 236743, 236770, 236810, 236771, 236764, 623, 4243, 101085, 236779, 2861, 1083, 236743, 236800, 236764, 623, 33800, 1083, 623, 16340, 29839, 531, 236743, 236770, 236771, 236771, 7359, 236761, 6890, 73694, 573, 2587, 1694, 1781, 236783, 106, 107, 105, 4368, 107, 1018, 105318, 30076, 8708, 573, 120621, 220022, 43459, 29187, 1018, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 28293, 524, 59472, 1018, 107, 78732, 16590, 623, 236745, 1399, 13795, 236775, 653, 623, 115774, 12406, 236775, 528, 1722, 6492, 236787, 107, 236770, 236761, 5213, 236774, 236770, 236778, 236800, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 18365, 236787, 13118, 138, 107, 139, 236772, 11662, 40675, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 568, 236819, 3794, 4578, 236768, 138, 107, 139, 236772, 116589, 236787, 749, 55199, 236743, 236819, 236810, 236761, 236810, 10014, 236743, 236778, 9825, 138, 108, 236778, 236761, 5213, 236799, 236812, 236810, 236825, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 18365, 236787, 137201, 138, 107, 139, 236772, 11662, 40675, 236787, 236743, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236778, 236771, 568, 236770, 236770, 3794, 4578, 236768, 138, 107, 139, 236772, 116589, 236787, 749, 55199, 236743, 236828, 236771, 236761, 236771, 10014, 236743, 236810, 9825, 138, 108, 236829, 15539, 645, 236832, 236828, 236819, 568, 43632, 7957, 800, 236768, 26558, 810, 35129, 13138, 9603, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 40675, 91330, 1018, 107, 236772, 5213, 236774, 236770, 236778, 236800, 568, 236774, 1399, 13795, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 27468, 15668, 9626, 568, 49163, 25000, 236764, 6474, 17611, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 4819, 3165, 1527, 568, 236778, 236768, 532, 169179, 3426, 236743, 236819, 236828, 236908, 3600, 9875, 8785, 236761, 138, 108, 236772, 5213, 236799, 236812, 236810, 236825, 568, 22893, 835, 45199, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 22282, 77372, 32034, 2509, 568, 109076, 4981, 236764, 1494, 3165, 1527, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 43669, 1202, 2779, 531, 35726, 4981, 532, 2708, 169179, 568, 236828, 236771, 37507, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 73022, 1018, 107, 236772, 5213, 41941, 21617, 64663, 53121, 32236, 4563, 28436, 691, 711, 5012, 528, 506, 9299, 3072, 236761, 138, 107, 236772, 5213, 902, 17302, 4361, 53121, 17647, 29839, 531, 236743, 236770, 236771, 236771, 236786, 236770, 236810, 236771, 2558, 7359, 236761, 6890, 73694, 573, 2587, 18241, 236761, 138, 107, 236772, 5213, 129822, 32236, 53121, 603, 236812, 236810, 236825, 7087, 13258, 5700, 531, 21374, 27347, 236761, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 6890, 2165, 828, 236779, 236778, 236778, 236929, 607, 73694, 20442, 17846, 236784, 236770, 236771, 236771, 8347, 2165, 10617, 236784, 236770, 236771, 236771, 18833, 531, 33205, 9866, 7359, 236761, 138, 107, 236778, 236761, 2599, 1755, 16807, 11024, 573, 558, 236770, 236778, 236800, 532, 603, 236812, 236810, 236825, 768, 4563, 16616, 659, 47713, 528, 9299, 236761, 138, 107, 236800, 236761, 232601, 9626, 16677, 573, 9456, 7359, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 506, 7609, 653, 6778, 506, 2072, 236888, 106, 107, 105, 2364, 107, 818, 2072, 40826, 4744, 11024, 532, 15315, 236743, 236810, 236771, 7359, 236761, 12579, 822, 4313, 236787, 236743, 236770, 236761, 5315, 236764, 2246, 974, 236779, 236778, 236778, 607, 2165, 3917, 236779, 14517, 236784, 7125, 236779, 9088, 236929, 531, 33205, 4563, 1262, 236743, 236778, 236761, 4298, 1161, 73694, 20442, 17846, 236784, 236770, 236771, 236771, 8347, 2165, 10617, 236784, 236770, 236771, 236771, 18833, 531, 12270, 9866, 7359, 236743, 236800, 236761, 1701, 603, 236812, 236810, 236825, 568, 109076, 12406, 779, 52312, 1061, 7609, 236743, 236800, 236781, 607, 236743, 236810, 236751, 194600, 236743, 236812, 236761, 1276, 25956, 506, 2072, 607, 4133, 4563, 8283, 532, 784, 236743, 236770, 236810, 236771, 7359, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10617, 1083, 623, 14188, 711, 8008, 684, 5904, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236770, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 236779, 19112, 1083, 11058, 236874, 88537, 220022, 827, 623, 112798, 14133, 562, 14255, 623, 4818, 1083, 623, 5034, 827, 623, 138097, 1083, 623, 18941, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236771, 5237, 3714, 10212, 236779, 547, 1083, 623, 11526, 11998, 236771, 236771, 236778, 827, 623, 10212, 236779, 2084, 1083, 623, 22893, 835, 45199, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 236779, 19112, 1083, 11058, 236874, 88537, 220022, 827, 623, 204488, 18120, 14255, 623, 4818, 1083, 623, 5034, 827, 623, 138097, 1083, 623, 18941, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236819, 236810, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236770, 5237, 3714, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236800, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 236779, 19112, 1083, 11058, 236874, 88537, 220022, 827, 623, 112543, 51773, 14255, 623, 4818, 1083, 623, 5034, 827, 623, 138097, 1083, 623, 18941, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236771, 1807, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236799, 236812, 236810, 236825, 827, 623, 2084, 1083, 623, 236745, 1399, 13795, 827, 623, 4818, 1083, 623, 5034, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236810, 236812, 236778, 236764, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 1899, 236779, 2861, 1083, 236743, 236800, 1263, 623, 138097, 1083, 3714, 4818, 1083, 623, 18941, 827, 623, 33786, 236779, 38651, 1083, 623, 22468, 23179, 623, 7125, 236779, 9088, 1083, 623, 236874, 88537, 220022, 18120, 236743, 236778, 827, 623, 91180, 236779, 95503, 1083, 1847, 236764, 623, 65141, 524, 236779, 4636, 1083, 11058, 42762, 23143, 17393, 827, 623, 8571, 126774, 4249, 21615, 152254, 3714, 10212, 236779, 547, 1083, 623, 236780, 236832, 236828, 236819, 827, 623, 2084, 1083, 623, 115774, 12406, 827, 623, 4818, 1083, 623, 5034, 827, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236800, 236828, 236771, 236764, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 82033, 236779, 28611, 1083, 623, 49426, 236779, 8572, 23179, 623, 138097, 1083, 3714, 4818, 1083, 623, 222727, 827, 623, 5455, 236779, 18941, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 623, 7125, 236779, 9088, 1083, 623, 236874, 88537, 117113, 43459, 14133, 827, 623, 91180, 236779, 95503, 1083, 2416, 236764, 623, 65141, 524, 236779, 4636, 1083, 11058, 212971, 3707, 13170, 99471, 1604, 623, 6011, 1083, 3714, 6725, 236779, 64924, 1083, 236743, 236778, 236764, 623, 64924, 236779, 866, 11258, 236779, 8114, 1083, 236743, 236770, 236764, 623, 56653, 236779, 132101, 1083, 236743, 236771, 1807, 106, 107, 105, 4368, 107, 1018, 41778, 40675, 30076, 8708, 573, 120621, 220022, 43459, 29187, 1018, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 26158, 32236, 52761, 1018, 138, 107, 1018, 9640, 59472, 34189, 53121, 236743, 236770, 236771, 236771, 568, 13205, 26919, 236787, 2631, 236743, 236770, 236771, 236771, 810, 2246, 236768, 138, 107, 1018, 75403, 59472, 568, 236774, 1399, 99992, 236786, 236799, 14493, 1473, 1018, 138, 107, 236770, 236761, 5213, 236774, 11913, 236771, 236771, 236770, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 236764, 44876, 14133, 562, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 568, 49426, 236743, 236825, 3794, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236778, 236771, 236771, 3885, 1456, 236764, 236743, 236771, 9825, 138, 108, 236778, 236761, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 236764, 100313, 18120, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 568, 49426, 236743, 236825, 3794, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236819, 236810, 236771, 3885, 1456, 236764, 236743, 236770, 3165, 138, 108, 236800, 236761, 5213, 236774, 11913, 236771, 236771, 236800, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 236764, 46586, 51773, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236771, 568, 236825, 236761, 236810, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236810, 236771, 236771, 3885, 1456, 236764, 236743, 236771, 9825, 138, 108, 236812, 236761, 5213, 236799, 236812, 236810, 236825, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 18120, 236743, 236778, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 568, 236819, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236810, 236812, 236778, 3885, 1456, 236764, 236743, 236800, 9825, 138, 108, 236829, 10282, 236787, 236743, 236810, 236771, 7359, 4595, 723, 236772, 4243, 101085, 2779, 531, 5904, 73694, 16305, 9603, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 40675, 91330, 1018, 138, 107, 236772, 5213, 236774, 11913, 236771, 236771, 236800, 568, 236774, 1399, 13795, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 27468, 9626, 568, 48321, 1021, 567, 236764, 6474, 17611, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 1787, 3641, 236751, 236743, 236825, 236772, 11283, 9626, 4771, 236761, 138, 108, 236772, 5213, 236799, 236812, 236810, 236825, 568, 22893, 835, 45199, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 187191, 2509, 3149, 236761, 138, 107, 138, 236772, 5213, 132617, 57354, 53121, 138, 107, 140, 236772, 44635, 23143, 17393, 138, 107, 140, 236772, 3134, 126774, 4249, 21615, 138, 107, 138, 236772, 5213, 26253, 53121, 236743, 236800, 9825, 4785, 236764, 1774, 9626, 236743, 236819, 3794, 4578, 236761, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 73022, 1018, 138, 107, 236772, 5213, 6375, 5774, 53121, 82521, 52236, 573, 784, 7359, 1699, 2165, 3917, 236779, 13308, 236784, 3397, 21233, 138, 107, 236772, 5213, 129822, 59472, 53121, 603, 236812, 236810, 236825, 563, 1492, 3489, 607, 623, 22468, 236775, 6953, 6332, 568, 56653, 6595, 769, 138, 107, 236772, 5213, 7741, 186612, 53121, 108204, 531, 33205, 9866, 236743, 236810, 236771, 7359, 2779, 531, 6220, 529, 73694, 1894, 236761, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 2599, 1755, 16807, 723, 236772, 4243, 101085, 7359, 1699, 9302, 4615, 236761, 138, 107, 236778, 236761, 27468, 9626, 573, 5213, 236774, 11913, 236771, 236771, 236800, 1018, 532, 5213, 236799, 236812, 236810, 236825, 1018, 6842, 236761, 138, 107, 236800, 236761, 26295, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 573, 3165, 9314, 1868, 236772, 95503, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 7609, 3342, 653, 3421, 5904, 16305, 236888, 106, 107, 105, 2364, 107, 818, 18241, 563, 2036, 36289, 753, 692, 735, 236743, 236770, 236810, 236771, 2558, 7359, 840, 1186, 52236, 236743, 236770, 236771, 236771, 236761, 32987, 506, 73694, 4313, 236787, 236743, 236770, 236761, 5315, 2246, 236787, 974, 236779, 236778, 236778, 236769, 17846, 236784, 236770, 236771, 236771, 236764, 9815, 236784, 236771, 236764, 3204, 236779, 14517, 236784, 7125, 236779, 9088, 236768, 236743, 236778, 236761, 9674, 2246, 236787, 974, 236779, 236778, 236778, 236769, 17846, 236784, 236810, 236771, 236764, 9815, 236784, 236770, 236771, 236771, 236764, 3204, 236779, 14517, 236784, 7125, 236779, 9088, 236768, 236743, 236800, 236761, 1701, 603, 236812, 236810, 236825, 236764, 1407, 506, 5396, 52312, 16972, 607, 27791, 13630, 236743, 236812, 236761, 1276, 25956, 2587, 2072, 607, 784, 236743, 236770, 236810, 236771, 7359, 532, 9626, 22680, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236770, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 4818, 1083, 623, 14009, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 236874, 88537, 220022, 753, 6400, 9519, 827, 623, 138097, 1083, 623, 38770, 827, 623, 24392, 236779, 3456, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236771, 1263, 3714, 10212, 236779, 547, 1083, 623, 11526, 11998, 236771, 236771, 236778, 827, 623, 10212, 236779, 2084, 1083, 623, 22893, 835, 45199, 827, 623, 4818, 1083, 623, 14009, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 7125, 1083, 623, 236874, 88537, 220022, 753, 233886, 27773, 827, 623, 138097, 1083, 623, 38770, 827, 623, 24392, 236779, 3456, 1083, 236743, 236819, 236828, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236800, 1263, 3714, 10212, 236779, 547, 1083, 623, 236774, 11913, 236771, 236771, 236800, 827, 623, 10212, 236779, 2084, 1083, 623, 236774, 1399, 13795, 827, 623, 4818, 1083, 623, 129822, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236771, 827, 623, 7125, 1083, 623, 236874, 88537, 220022, 753, 7429, 18120, 827, 623, 138097, 1083, 623, 167608, 827, 623, 24392, 236779, 3456, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1899, 236779, 2861, 1083, 236743, 236770, 236810, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64924, 1083, 78493, 10212, 236779, 547, 1083, 623, 236799, 236812, 236810, 236825, 827, 623, 10212, 236779, 2084, 1083, 623, 236745, 1399, 13795, 827, 623, 4818, 1083, 623, 5034, 827, 623, 5455, 236779, 95503, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 138097, 1083, 3714, 23557, 1083, 1847, 236764, 623, 5455, 236779, 18941, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 623, 29263, 1083, 3714, 24392, 236779, 3456, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 1899, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 1263, 623, 7125, 236779, 9088, 1083, 623, 236874, 88537, 236772, 99364, 214639, 236772, 66531, 236772, 34144, 236792, 827, 623, 79974, 2904, 236779, 4406, 1083, 623, 236766, 236778, 236761, 236800, 236761, 236770, 25938, 1604, 623, 6725, 236779, 64924, 1083, 236743, 236770, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 17667, 40675, 30076, 8708, 573, 120621, 220022, 43459, 29187, 1018, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 26158, 32236, 52761, 1018, 138, 107, 1018, 9640, 59472, 34189, 53121, 236743, 236770, 236771, 236771, 568, 13205, 26919, 236787, 2631, 236743, 236770, 236771, 236771, 810, 2246, 236768, 138, 107, 1018, 75403, 59472, 568, 236774, 1399, 99992, 236786, 236799, 14493, 1473, 1018, 138, 107, 236770, 236761, 5213, 236774, 11913, 236771, 236771, 236770, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 753, 6400, 9519, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 568, 49426, 236743, 236825, 3794, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236778, 236771, 236771, 3885, 1456, 236764, 236743, 236771, 9825, 138, 108, 236778, 236761, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 568, 22893, 835, 45199, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 753, 233886, 27773, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 568, 236825, 236761, 236810, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236819, 236828, 236771, 3885, 1456, 236764, 236743, 236800, 9825, 138, 108, 236800, 236761, 5213, 236774, 11913, 236771, 236771, 236800, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 220022, 753, 7429, 18120, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236771, 568, 236770, 236770, 3794, 4578, 236768, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236810, 236771, 236771, 3885, 1456, 236764, 236743, 236770, 236810, 9825, 138, 107, 139, 236772, 5213, 6717, 53121, 137201, 568, 222727, 236768, 138, 108, 236812, 236761, 5213, 236799, 236812, 236810, 236825, 1018, 568, 236774, 1399, 13795, 236768, 138, 107, 139, 236772, 5213, 6375, 53121, 120621, 236772, 99364, 214639, 236772, 66531, 236772, 34144, 236792, 138, 107, 139, 236772, 5213, 9008, 40675, 53121, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 568, 39979, 236772, 13386, 17103, 138, 107, 139, 236772, 5213, 58946, 53121, 236743, 236770, 236778, 236812, 236810, 3885, 1456, 236764, 236743, 236778, 236908, 3165, 3136, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 40675, 91330, 1018, 138, 107, 236772, 5213, 11526, 11998, 236771, 236771, 236778, 568, 22893, 835, 45199, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 27468, 9626, 568, 118821, 3165, 7021, 236764, 39174, 606, 6049, 4688, 769, 138, 107, 138, 236772, 5213, 26253, 53121, 1787, 3641, 236751, 236743, 236825, 236772, 11283, 4771, 607, 236743, 236800, 9825, 4785, 236761, 138, 108, 236772, 5213, 236774, 11913, 236771, 236771, 236800, 568, 236774, 1399, 13795, 62902, 138, 107, 138, 236772, 5213, 4396, 53121, 187191, 2509, 3149, 236761, 138, 107, 138, 236772, 5213, 132617, 57354, 53121, 138, 107, 140, 236772, 225658, 35726, 4981, 532, 27347, 4342, 138, 107, 140, 236772, 44635, 23143, 6237, 568, 11480, 3165, 1527, 236768, 138, 107, 138, 236772, 5213, 26253, 53121, 11662, 9626, 236743, 236770, 236770, 3794, 4578, 236764, 236743, 236770, 236810, 9825, 32575, 236761, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 73022, 1018, 138, 107, 236772, 5213, 91859, 186612, 53121, 13474, 1677, 711, 1894, 2165, 10617, 236929, 7689, 236764, 25869, 51139, 529, 784, 236743, 236770, 236810, 236771, 7359, 236761, 138, 107, 236772, 5213, 236799, 236812, 236810, 236825, 138125, 142530, 53121, 138, 107, 138, 236772, 5213, 66295, 236743, 236770, 53121, 120635, 1308, 236743, 236810, 236751, 568, 17368, 35726, 4981, 769, 138, 107, 138, 236772, 5213, 66295, 236743, 236778, 53121, 120635, 1308, 236743, 236810, 236751, 236761, 138, 107, 138, 236772, 5213, 66295, 236743, 236800, 53121, 21942, 1271, 4744, 1492, 3489, 607, 59550, 566, 236778, 236761, 236800, 236761, 236770, 236761, 138, 107, 236772, 5213, 2100, 799, 8902, 617, 5201, 53121, 138, 107, 138, 236772, 603, 236812, 236810, 236825, 236858, 236751, 2165, 5455, 236779, 95503, 236779, 1896, 236929, 7412, 3402, 236772, 13386, 568, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 769, 138, 107, 138, 236772, 558, 11913, 236771, 236771, 236800, 7474, 35726, 607, 6749, 3165, 1527, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 8708, 25252, 1018, 138, 107, 236909, 5213, 15539, 5853, 1018, 1109, 5213, 2328, 1018, 145, 236909, 5213, 6375, 1018, 154, 236909, 5213, 115500, 40675, 1018, 1109, 5213, 47875, 1018, 157, 236909, 138, 107, 236909, 44042, 236909, 2819, 726, 236909, 2819, 44042, 236909, 2819, 1611, 236909, 2819, 2819, 236909, 138, 107, 236909, 30778, 11998, 236771, 236771, 236778, 143, 236909, 213033, 45199, 138, 236909, 120621, 220022, 753, 233886, 27773, 139, 236909, 8438, 156, 236909, 11662, 9626, 1890, 236825, 3794, 4578, 1109, 138, 107, 236909, 558, 11913, 236771, 236771, 236800, 142, 236909, 158256, 13795, 144, 236909, 120621, 220022, 753, 7429, 18120, 141, 236909, 8438, 156, 236909, 137201, 236764, 236743, 236770, 236810, 9825, 236764, 100662, 140, 236909, 138, 107, 236909, 603, 236812, 236810, 236825, 146, 236909, 158256, 13795, 144, 236909, 120621, 236772, 99364, 214639, 236772, 66531, 236772, 34144, 236792, 144, 236909, 1286, 9347, 152, 236909, 17143, 236772, 13386, 9626, 2212, 139, 236909, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 2599, 1755, 16807, 723, 236772, 4243, 101085, 236743, 236810, 236771, 7359, 4323, 5663, 18241, 236761, 138, 107, 236778, 236761, 10703, 11870, 603, 236812, 236810, 236825, 236858, 236751, 3402, 236772, 13386, 9626, 3423, 573, 1262, 17661, 236761, 138, 107, 236800, 236761, 22282, 77372, 32034, 2509, 573, 5213, 11526, 11998, 236771, 236771, 236778, 1018, 532, 5213, 236774, 11913, 236771, 236771, 236800, 84750, 138, 107, 236812, 236761, 13948, 5904, 1894, 531, 2864, 73694, 20442, 10617, 18833, 18544, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 3342, 653, 129768, 4744, 236772, 15396, 7419, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 7946, 531, 7693, 622, 236761, 236780, 236761, 573, 5226, 5857, 236761, 564, 1461, 531, 4196, 528, 496, 17110, 2433, 3541, 70836, 1133, 506, 4025, 25929, 236764, 840, 2351, 496, 30997, 7715, 236761, 3199, 611, 1586, 786, 236743, 236800, 236772, 236812, 20736, 600, 2729, 2196, 32735, 532, 735, 4414, 10595, 49326, 4698, 170545, 532, 76049, 236881, 1701, 1546, 5086, 236764, 564, 236858, 236753, 1133, 531, 1460, 6704, 236764, 21212, 528, 23058, 236764, 532, 1027, 10034, 600, 2473, 4208, 1041, 4196, 236761, 3792, 236858, 236751, 1502, 607, 506, 4563, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 20918, 25929, 532, 23563, 36962, 827, 623, 2084, 1083, 623, 178132, 15444, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236828, 236819, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236771, 236819, 1263, 623, 7777, 1083, 623, 11405, 525, 17110, 2433, 50317, 236743, 236778, 6281, 7635, 236764, 2033, 531, 506, 7693, 59894, 236764, 26123, 23563, 236764, 532, 99209, 41850, 236761, 181141, 18191, 531, 506, 4025, 25929, 1781, 236783, 107, 14937, 1201, 1083, 623, 102370, 1652, 40733, 43902, 9252, 827, 623, 2084, 1083, 623, 178206, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236819, 236770, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236812, 236800, 236810, 1263, 623, 7777, 1083, 623, 21221, 598, 17448, 12960, 528, 7693, 622, 236761, 236780, 1126, 18482, 236743, 236770, 236819, 594, 236772, 33201, 13217, 532, 33417, 531, 506, 7286, 5407, 532, 80618, 155102, 1781, 236783, 107, 14937, 1201, 1083, 623, 83629, 34945, 827, 623, 2084, 1083, 623, 178206, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236819, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236770, 236825, 236832, 1263, 623, 7777, 1083, 623, 236847, 98237, 17110, 7905, 607, 41330, 236772, 1741, 10692, 236764, 5628, 236743, 236771, 236761, 236800, 7635, 699, 506, 4025, 25929, 532, 236743, 236771, 236761, 236810, 7635, 699, 506, 44264, 16087, 1781, 236783, 107, 14937, 1201, 1083, 623, 225442, 10892, 43902, 9252, 827, 623, 2084, 1083, 623, 178206, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236819, 236800, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236771, 236819, 236770, 1263, 623, 7777, 1083, 623, 139908, 17110, 17448, 12960, 528, 622, 236761, 236780, 1126, 18482, 236743, 236770, 236828, 236771, 236771, 236751, 2050, 11810, 532, 1982, 119396, 531, 506, 2590, 44264, 17668, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 10823, 236779, 2643, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15921, 1083, 78493, 12363, 236779, 547, 1083, 623, 12622, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 202880, 25145, 4025, 25929, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 3714, 13304, 1083, 236743, 236770, 236812, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 223420, 236779, 4611, 236761, 4034, 827, 623, 128537, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 236755, 47996, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 4256, 236779, 495, 236779, 2289, 1083, 623, 236770, 236810, 236787, 236771, 236771, 827, 623, 4256, 236779, 725, 236779, 2289, 1083, 623, 236770, 236770, 236787, 236771, 236771, 23179, 623, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 54012, 524, 236779, 66850, 1083, 11058, 39986, 3939, 2787, 532, 6998, 531, 1386, 1023, 4196, 9650, 41218, 623, 70856, 964, 171795, 532, 506, 4563, 740, 236789, 236745, 577, 12222, 573, 98615, 231116, 5237, 3714, 12363, 236779, 547, 1083, 623, 12622, 236770, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 225442, 5841, 12825, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 3714, 13304, 1083, 236743, 236770, 236832, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 5565, 28458, 236779, 1543, 236761, 4034, 827, 623, 128537, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 236755, 47996, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236825, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4256, 236779, 495, 236779, 2289, 1083, 623, 236770, 236812, 236787, 236800, 236771, 827, 623, 4256, 236779, 725, 236779, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 23179, 623, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 54012, 524, 236779, 66850, 1083, 11058, 31745, 15348, 4698, 53087, 775, 607, 6962, 45585, 532, 2263, 11221, 10498, 623, 42362, 90629, 7953, 1023, 2978, 150348, 5459, 1023, 4196, 231116, 5237, 3714, 12363, 236779, 547, 1083, 623, 12622, 236770, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 119978, 23563, 78394, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 3714, 13304, 1083, 236743, 236770, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 3775, 23228, 236779, 194469, 236761, 4034, 827, 623, 128537, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 236755, 47996, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236812, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4256, 236779, 495, 236779, 2289, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 4256, 236779, 725, 236779, 2289, 1083, 623, 236770, 236771, 236787, 236800, 236771, 23179, 623, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 54012, 524, 236779, 66850, 1083, 11058, 39986, 19587, 5226, 42290, 2180, 73404, 1056, 15633, 10498, 623, 35580, 138668, 532, 51487, 964, 5756, 532, 3980, 1418, 1719, 529, 1023, 7946, 231116, 1807, 1604, 623, 2305, 236779, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 9707, 236779, 40835, 1083, 1847, 236764, 623, 6796, 236779, 236755, 47996, 1083, 1847, 1263, 623, 6680, 236779, 3873, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236819, 236800, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236778, 236770, 236778, 19465, 106, 107, 105, 4368, 107, 8291, 659, 1806, 7715, 236772, 18865, 17110, 20736, 3541, 506, 4025, 25929, 607, 2196, 32735, 532, 4414, 10595, 236787, 108, 236770, 236761, 5213, 202880, 25145, 4025, 25929, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236819, 23058, 236786, 9467, 138, 107, 139, 236772, 5213, 49660, 66515, 870, 2039, 12825, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 223420, 236779, 4611, 236761, 4034, 236768, 138, 107, 139, 236772, 5213, 118952, 66515, 9617, 32735, 3097, 5110, 236743, 236778, 236810, 236764, 2426, 236772, 495, 236743, 236800, 236787, 236771, 236771, 8711, 236764, 2426, 236772, 725, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 5213, 72649, 66515, 138, 107, 141, 71510, 39986, 3939, 2787, 532, 6998, 531, 1386, 1023, 4196, 9650, 9332, 236829, 138, 107, 141, 71510, 70856, 964, 171795, 532, 506, 4563, 740, 236789, 236745, 577, 12222, 573, 98615, 1781, 236829, 138, 108, 236778, 236761, 5213, 225442, 5841, 12825, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236832, 236819, 23058, 236786, 9467, 138, 107, 139, 236772, 5213, 49660, 66515, 870, 2039, 12825, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 5565, 28458, 236779, 1543, 236761, 4034, 236768, 138, 107, 139, 236772, 5213, 118952, 66515, 9617, 32735, 3097, 5110, 236743, 236778, 236825, 236764, 2426, 236772, 495, 236743, 236778, 236787, 236800, 236771, 8711, 236764, 2426, 236772, 725, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 72649, 66515, 138, 107, 141, 71510, 31745, 15348, 4698, 53087, 775, 607, 6962, 45585, 532, 2263, 11221, 1781, 236829, 138, 107, 141, 71510, 42362, 90629, 7953, 1023, 2978, 150348, 5459, 1023, 4196, 1781, 236829, 138, 108, 236800, 236761, 5213, 119978, 23563, 78394, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236819, 23058, 236786, 9467, 138, 107, 139, 236772, 5213, 49660, 66515, 870, 2039, 12825, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 3775, 23228, 236779, 194469, 236761, 4034, 236768, 138, 107, 139, 236772, 5213, 118952, 66515, 9617, 32735, 3097, 5110, 236743, 236778, 236812, 236764, 2426, 236772, 495, 236743, 236812, 236787, 236771, 236771, 8711, 236764, 2426, 236772, 725, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 138, 107, 139, 236772, 5213, 72649, 66515, 138, 107, 141, 71510, 39986, 19587, 5226, 42290, 2180, 73404, 1056, 15633, 1781, 236829, 138, 107, 141, 71510, 35580, 138668, 532, 51487, 964, 5756, 532, 3980, 1418, 1719, 529, 1023, 7946, 1781, 236829, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 5082, 568, 236744, 236761, 236759, 1126, 4453, 4563, 236764, 31087, 236764, 653, 4767, 10595, 20625, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 7946, 531, 7693, 622, 236761, 236780, 236761, 573, 5226, 5857, 236761, 564, 1461, 531, 4196, 528, 496, 17110, 2433, 3541, 70836, 1133, 506, 4025, 25929, 236764, 840, 2351, 496, 30997, 7715, 236761, 3199, 611, 1586, 786, 236743, 236800, 236772, 236812, 20736, 600, 2729, 2196, 32735, 532, 735, 4414, 10595, 49326, 4698, 170545, 532, 76049, 236881, 1701, 1546, 5086, 236764, 564, 236858, 236753, 1133, 531, 1460, 6704, 236764, 21212, 528, 23058, 236764, 532, 1027, 10034, 600, 2473, 4208, 1041, 4196, 236761, 3792, 236858, 236751, 1502, 607, 506, 4563, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 20918, 25929, 532, 23563, 36962, 827, 623, 2084, 1083, 623, 178132, 15444, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236828, 236819, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236771, 236819, 1263, 623, 7777, 1083, 623, 11405, 525, 17110, 2433, 50317, 236743, 236778, 6281, 7635, 236764, 2033, 531, 506, 7693, 59894, 236764, 26123, 23563, 236764, 532, 99209, 41850, 236761, 181141, 18191, 531, 506, 4025, 25929, 1781, 236783, 107, 14937, 1201, 1083, 623, 102370, 1652, 40733, 43902, 9252, 827, 623, 2084, 1083, 623, 178206, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236819, 236770, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236812, 236800, 236810, 1263, 623, 7777, 1083, 623, 21221, 598, 17448, 12960, 528, 7693, 622, 236761, 236780, 1126, 18482, 236743, 236770, 236819, 594, 236772, 33201, 13217, 532, 33417, 531, 506, 7286, 5407, 532, 80618, 155102, 1781, 236783, 107, 14937, 1201, 1083, 623, 83629, 34945, 827, 623, 2084, 1083, 623, 178206, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236819, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236770, 236825, 236832, 1263, 623, 7777, 1083, 623, 236847, 98237, 17110, 7905, 607, 41330, 236772, 1741, 10692, 236764, 5628, 236743, 236771, 236761, 236800, 7635, 699, 506, 4025, 25929, 532, 236743, 236771, 236761, 236810, 7635, 699, 506, 44264, 16087, 1781, 236783, 107, 14937, 1201, 1083, 623, 225442, 10892, 43902, 9252, 827, 623, 2084, 1083, 623, 178206, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 146518, 236779, 7376, 1083, 623, 71310, 529, 18693, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236819, 236800, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236771, 236819, 236770, 1263, 623, 7777, 1083, 623, 139908, 17110, 17448, 12960, 528, 622, 236761, 236780, 1126, 18482, 236743, 236770, 236828, 236771, 236771, 236751, 2050, 11810, 532, 1982, 119396, 531, 506, 2590, 44264, 17668, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 10823, 236779, 2643, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15921, 1083, 78493, 12363, 236779, 547, 1083, 623, 12622, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 202880, 25145, 4025, 25929, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 3714, 13304, 1083, 236743, 236770, 236812, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 223420, 236779, 4611, 236761, 4034, 827, 623, 128537, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 236755, 47996, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 4256, 236779, 495, 236779, 2289, 1083, 623, 236770, 236810, 236787, 236771, 236771, 827, 623, 4256, 236779, 725, 236779, 2289, 1083, 623, 236770, 236770, 236787, 236771, 236771, 23179, 623, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 54012, 524, 236779, 66850, 1083, 11058, 39986, 3939, 2787, 532, 6998, 531, 1386, 1023, 4196, 9650, 41218, 623, 70856, 964, 171795, 532, 506, 4563, 740, 236789, 236745, 577, 12222, 573, 98615, 231116, 5237, 3714, 12363, 236779, 547, 1083, 623, 12622, 236770, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 225442, 5841, 12825, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 3714, 13304, 1083, 236743, 236770, 236832, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 5565, 28458, 236779, 1543, 236761, 4034, 827, 623, 128537, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 236755, 47996, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236825, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4256, 236779, 495, 236779, 2289, 1083, 623, 236770, 236812, 236787, 236800, 236771, 827, 623, 4256, 236779, 725, 236779, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 23179, 623, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 54012, 524, 236779, 66850, 1083, 11058, 31745, 15348, 4698, 53087, 775, 607, 6962, 45585, 532, 2263, 11221, 10498, 623, 42362, 90629, 7953, 1023, 2978, 150348, 5459, 1023, 4196, 231116, 5237, 3714, 12363, 236779, 547, 1083, 623, 12622, 236770, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 119978, 23563, 78394, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 3714, 13304, 1083, 236743, 236770, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 3775, 23228, 236779, 194469, 236761, 4034, 827, 623, 128537, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 236755, 47996, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236812, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4256, 236779, 495, 236779, 2289, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 4256, 236779, 725, 236779, 2289, 1083, 623, 236770, 236771, 236787, 236800, 236771, 23179, 623, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 54012, 524, 236779, 66850, 1083, 11058, 39986, 19587, 5226, 42290, 2180, 73404, 1056, 15633, 10498, 623, 35580, 138668, 532, 51487, 964, 5756, 532, 3980, 1418, 1719, 529, 1023, 7946, 231116, 1807, 1604, 623, 2305, 236779, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 9707, 236779, 40835, 1083, 1847, 236764, 623, 6796, 236779, 236755, 47996, 1083, 1847, 1263, 623, 6680, 236779, 3873, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236828, 236819, 236800, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236771, 236778, 236770, 236778, 19465, 106, 107, 105, 4368, 107, 8291, 659, 1806, 7715, 236772, 18865, 17110, 20736, 3541, 506, 4025, 25929, 607, 2196, 32735, 532, 4414, 10595, 236787, 108, 236770, 236761, 5213, 202880, 25145, 4025, 25929, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236819, 23058, 236786, 9467, 138, 107, 139, 236772, 5213, 49660, 66515, 870, 2039, 12825, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 223420, 236779, 4611, 236761, 4034, 236768, 138, 107, 139, 236772, 5213, 118952, 66515, 9617, 32735, 3097, 5110, 236743, 236778, 236810, 236764, 2426, 236772, 495, 236743, 236800, 236787, 236771, 236771, 8711, 236764, 2426, 236772, 725, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 5213, 72649, 66515, 138, 107, 141, 71510, 39986, 3939, 2787, 532, 6998, 531, 1386, 1023, 4196, 9650, 9332, 236829, 138, 107, 141, 71510, 70856, 964, 171795, 532, 506, 4563, 740, 236789, 236745, 577, 12222, 573, 98615, 1781, 236829, 138, 108, 236778, 236761, 5213, 225442, 5841, 12825, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236832, 236819, 23058, 236786, 9467, 138, 107, 139, 236772, 5213, 49660, 66515, 870, 2039, 12825, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 5565, 28458, 236779, 1543, 236761, 4034, 236768, 138, 107, 139, 236772, 5213, 118952, 66515, 9617, 32735, 3097, 5110, 236743, 236778, 236825, 236764, 2426, 236772, 495, 236743, 236778, 236787, 236800, 236771, 8711, 236764, 2426, 236772, 725, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 72649, 66515, 138, 107, 141, 71510, 31745, 15348, 4698, 53087, 775, 607, 6962, 45585, 532, 2263, 11221, 1781, 236829, 138, 107, 141, 71510, 42362, 90629, 7953, 1023, 2978, 150348, 5459, 1023, 4196, 1781, 236829, 138, 108, 236800, 236761, 5213, 119978, 23563, 78394, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236819, 23058, 236786, 9467, 138, 107, 139, 236772, 5213, 49660, 66515, 870, 2039, 12825, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 3775, 23228, 236779, 194469, 236761, 4034, 236768, 138, 107, 139, 236772, 5213, 118952, 66515, 9617, 32735, 3097, 5110, 236743, 236778, 236812, 236764, 2426, 236772, 495, 236743, 236812, 236787, 236771, 236771, 8711, 236764, 2426, 236772, 725, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 138, 107, 139, 236772, 5213, 72649, 66515, 138, 107, 141, 71510, 39986, 19587, 5226, 42290, 2180, 73404, 1056, 15633, 1781, 236829, 138, 107, 141, 71510, 35580, 138668, 532, 51487, 964, 5756, 532, 3980, 1418, 1719, 529, 1023, 7946, 1781, 236829, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 5082, 568, 236744, 236761, 236759, 1126, 4453, 4563, 236764, 31087, 236764, 653, 4767, 10595, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236789, 236757, 6822, 236764, 699, 162217, 236761, 564, 236789, 236757, 3788, 496, 2268, 7116, 24352, 3673, 573, 1041, 6853, 236789, 236751, 5249, 236764, 532, 564, 236789, 236757, 17539, 580, 1144, 531, 2246, 625, 236761, 564, 691, 6972, 623, 236751, 742, 236775, 840, 564, 236789, 236757, 711, 2889, 768, 600, 236789, 236751, 506, 1447, 3658, 237028, 3307, 154213, 5975, 2462, 3189, 5618, 1374, 735, 6590, 236761, 5315, 236764, 740, 611, 776, 496, 34410, 236779, 2305, 573, 623, 236751, 742, 236775, 531, 1460, 1144, 625, 3643, 2820, 236881, 4298, 236764, 768, 625, 236789, 236751, 11120, 1003, 614, 7626, 653, 13969, 236764, 564, 236789, 236753, 1133, 611, 531, 776, 496, 34410, 236779, 2305, 573, 623, 107403, 535, 236775, 2311, 1547, 564, 1281, 83859, 236789, 236751, 496, 1722, 529, 3863, 236764, 532, 600, 11906, 919, 22690, 573, 496, 2203, 1133, 672, 236761, 1637, 623, 236751, 742, 236775, 5889, 236789, 236745, 1003, 600, 236764, 564, 236789, 859, 1164, 6568, 607, 506, 1171, 1354, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236751, 742, 827, 623, 30124, 1083, 623, 236776, 4996, 8864, 653, 2764, 2258, 236764, 4285, 26242, 531, 506, 13969, 529, 506, 138633, 520, 16203, 236793, 992, 23282, 496, 1722, 529, 5851, 236764, 4996, 8864, 653, 2764, 13969, 10498, 623, 536, 176588, 1083, 623, 4663, 7830, 756, 236751, 742, 963, 6590, 756, 38150, 963, 4323, 12266, 7830, 236764, 11963, 699, 16403, 756, 87144, 14565, 236789, 568, 38150, 769, 827, 623, 26514, 236779, 36898, 1083, 11058, 818, 138633, 13969, 15674, 691, 496, 109366, 17274, 3571, 6693, 102210, 10498, 623, 818, 11710, 236789, 236751, 138633, 33510, 4464, 496, 20997, 9530, 2342, 506, 5122, 67824, 1781, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 107403, 535, 827, 623, 30124, 1083, 623, 236776, 1944, 5028, 653, 70282, 529, 506, 30267, 92883, 49746, 236764, 3224, 573, 1061, 60264, 22350, 532, 2651, 236764, 14887, 3863, 14003, 1456, 528, 11406, 72628, 532, 154213, 10498, 623, 536, 176588, 1083, 623, 4663, 10687, 5422, 756, 236754, 236785, 236756, 236771, 236771, 236744, 236825, 3120, 963, 11233, 699, 95911, 236772, 51423, 525, 46758, 5594, 514, 1225, 963, 4596, 531, 506, 61257, 3658, 573, 756, 107403, 535, 236789, 568, 236744, 236761, 236759, 1126, 203972, 1044, 756, 552, 195290, 4833, 827, 623, 36898, 1083, 11058, 818, 160143, 13874, 83859, 3863, 573, 1061, 5851, 11261, 532, 981, 2109, 528, 506, 24352, 3673, 2203, 10498, 623, 216799, 116283, 964, 37155, 1456, 573, 3043, 9378, 33227, 532, 13763, 39795, 1781, 21111, 106, 107, 105, 4368, 107, 818, 34410, 3927, 2536, 9128, 600, 623, 236751, 742, 236775, 17230, 531, 496, 1722, 529, 4996, 13969, 568, 2217, 3863, 779, 1651, 623, 107403, 535, 236775, 563, 496, 5028, 5557, 607, 2651, 236764, 14887, 3863, 14003, 1456, 528, 154213, 5699, 1133, 24352, 14479, 236761, 669, 2591, 14120, 1581, 5467, 42298, 623, 107403, 535, 3863, 573, 1061, 5851, 11261, 532, 981, 2109, 528, 506, 24352, 3673, 2203, 1781, 236743, 108, 1018, 211199, 53121, 6890, 623, 216799, 236775, 618, 506, 1463, 237028, 509, 236789, 236751, 21475, 236764, 5467, 16441, 506, 3863, 2561, 236764, 532, 100146, 13275, 607, 822, 154213, 2203, 236761, 669, 1463, 23076, 1800, 11858, 83918, 17141, 532, 496, 3756, 236764, 19185, 6374, 573, 496, 24352, 3673, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 1032, 3863, 236772, 10619, 5618, 236888, 103453, 106, 107, 105, 2364, 107, 216799, 625, 563, 236761, 11017, 573, 36888, 600, 872, 236761, 2981, 236789, 236751, 7121, 1144, 564, 4354, 531, 6899, 237028, 3307, 154213, 5975, 1093, 236789, 560, 2238, 786, 496, 2651, 990, 768, 564, 236789, 236753, 7489, 625, 1308, 496, 107106, 236761, 80358, 236789, 236751, 2506, 506, 1447, 2597, 573, 506, 3673, 236764, 532, 625, 236789, 236751, 2506, 600, 185761, 6374, 1133, 1041, 102016, 236789, 236751, 112354, 15028, 236761, 1599, 236789, 500, 496, 1759, 1601, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 500, 1401, 8349, 236764, 6822, 236888, 564, 236789, 236757, 834, 16126, 80358, 11906, 1133, 506, 4011, 4691, 237028, 509, 236858, 236751, 496, 1463, 600, 236858, 236751, 1800, 21475, 532, 29830, 49035, 528, 506, 10946, 4850, 236761, 669, 185761, 5603, 531, 822, 102016, 236858, 236751, 112354, 563, 1288, 496, 14954, 6374, 2311, 236793, 625, 236858, 236751, 1133, 506, 3673, 795, 6081, 496, 2268, 3103, 529, 2523, 41945, 528, 1418, 8052, 236761, 138, 108, 2859, 611, 3785, 1202, 1601, 607, 2264, 2203, 236764, 3658, 12871, 236764, 653, 1581, 1164, 496, 1855, 8737, 236764, 564, 236858, 236757, 1590, 236761, 20728, 3788, 237028, 624, 73419, 580, 506, 24352, 3673, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 236794, 195196, 7296, 529, 506, 1813, 236789, 236751, 506, 1791, 2712, 529, 11682, 236764, 35729, 236789, 236745, 625, 236881, 5393, 1133, 141512, 1679, 600, 83859, 3863, 237028, 45493, 236764, 53400, 236764, 532, 3590, 506, 3697, 1719, 2597, 1447, 236761, 66350, 611, 3209, 236764, 532, 8863, 1570, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 560, 13275, 17755, 625, 237028, 13534, 236789, 236751, 2613, 4180, 186779, 528, 600, 16932, 34824, 236764, 3363, 625, 236789, 236751, 506, 1813, 236789, 236751, 18479, 653, 506, 11261, 529, 83859, 25038, 822, 4916, 236761, 2981, 12010, 3213, 563, 506, 3710, 529, 506, 10946, 236764, 5889, 236789, 236745, 625, 236881, 11017, 573, 11211, 506, 8178, 236764, 6822, 236761, 228567, 611, 7080, 141512, 236764, 16680, 14513, 236764, 532, 496, 24352, 3673, 600, 9258, 618, 1623, 2765, 618, 625, 9258, 65818, 236761, 66350, 611, 3209, 236764, 4389, 236761, 236743, 244245, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236789, 236757, 6822, 236764, 699, 162217, 236761, 564, 236789, 236757, 3788, 496, 2268, 7116, 24352, 3673, 573, 1041, 6853, 236789, 236751, 5249, 236764, 532, 564, 236789, 236757, 17539, 580, 1144, 531, 2246, 625, 236761, 564, 691, 6972, 623, 236751, 742, 236775, 840, 564, 236789, 236757, 711, 2889, 768, 600, 236789, 236751, 506, 1447, 3658, 237028, 3307, 154213, 5975, 2462, 3189, 5618, 1374, 735, 6590, 236761, 5315, 236764, 740, 611, 776, 496, 34410, 236779, 2305, 573, 623, 236751, 742, 236775, 531, 1460, 1144, 625, 3643, 2820, 236881, 4298, 236764, 768, 625, 236789, 236751, 11120, 1003, 614, 7626, 653, 13969, 236764, 564, 236789, 236753, 1133, 611, 531, 776, 496, 34410, 236779, 2305, 573, 623, 107403, 535, 236775, 2311, 1547, 564, 1281, 83859, 236789, 236751, 496, 1722, 529, 3863, 236764, 532, 600, 11906, 919, 22690, 573, 496, 2203, 1133, 672, 236761, 1637, 623, 236751, 742, 236775, 5889, 236789, 236745, 1003, 600, 236764, 564, 236789, 859, 1164, 6568, 607, 506, 1171, 1354, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236751, 742, 827, 623, 30124, 1083, 623, 236776, 4996, 8864, 653, 2764, 2258, 236764, 4285, 26242, 531, 506, 13969, 529, 506, 138633, 520, 16203, 236793, 992, 23282, 496, 1722, 529, 5851, 236764, 4996, 8864, 653, 2764, 13969, 10498, 623, 536, 176588, 1083, 623, 4663, 7830, 756, 236751, 742, 963, 6590, 756, 38150, 963, 4323, 12266, 7830, 236764, 11963, 699, 16403, 756, 87144, 14565, 236789, 568, 38150, 769, 827, 623, 26514, 236779, 36898, 1083, 11058, 818, 138633, 13969, 15674, 691, 496, 109366, 17274, 3571, 6693, 102210, 10498, 623, 818, 11710, 236789, 236751, 138633, 33510, 4464, 496, 20997, 9530, 2342, 506, 5122, 67824, 1781, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 107403, 535, 827, 623, 30124, 1083, 623, 236776, 1944, 5028, 653, 70282, 529, 506, 30267, 92883, 49746, 236764, 3224, 573, 1061, 60264, 22350, 532, 2651, 236764, 14887, 3863, 14003, 1456, 528, 11406, 72628, 532, 154213, 10498, 623, 536, 176588, 1083, 623, 4663, 10687, 5422, 756, 236754, 236785, 236756, 236771, 236771, 236744, 236825, 3120, 963, 11233, 699, 95911, 236772, 51423, 525, 46758, 5594, 514, 1225, 963, 4596, 531, 506, 61257, 3658, 573, 756, 107403, 535, 236789, 568, 236744, 236761, 236759, 1126, 203972, 1044, 756, 552, 195290, 4833, 827, 623, 36898, 1083, 11058, 818, 160143, 13874, 83859, 3863, 573, 1061, 5851, 11261, 532, 981, 2109, 528, 506, 24352, 3673, 2203, 10498, 623, 216799, 116283, 964, 37155, 1456, 573, 3043, 9378, 33227, 532, 13763, 39795, 1781, 21111, 106, 107, 105, 4368, 107, 818, 34410, 3927, 2536, 9128, 600, 623, 236751, 742, 236775, 17230, 531, 496, 1722, 529, 4996, 13969, 568, 2217, 3863, 779, 1651, 623, 107403, 535, 236775, 563, 496, 5028, 5557, 607, 2651, 236764, 14887, 3863, 14003, 1456, 528, 154213, 5699, 1133, 24352, 14479, 236761, 669, 2591, 14120, 1581, 5467, 42298, 623, 107403, 535, 3863, 573, 1061, 5851, 11261, 532, 981, 2109, 528, 506, 24352, 3673, 2203, 1781, 236743, 108, 1018, 211199, 53121, 6890, 623, 216799, 236775, 618, 506, 1463, 237028, 509, 236789, 236751, 21475, 236764, 5467, 16441, 506, 3863, 2561, 236764, 532, 100146, 13275, 607, 822, 154213, 2203, 236761, 669, 1463, 23076, 1800, 11858, 83918, 17141, 532, 496, 3756, 236764, 19185, 6374, 573, 496, 24352, 3673, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 1032, 3863, 236772, 10619, 5618, 236888, 103453, 106, 107, 105, 2364, 107, 216799, 625, 563, 236761, 11017, 573, 36888, 600, 872, 236761, 2981, 236789, 236751, 7121, 1144, 564, 4354, 531, 6899, 237028, 3307, 154213, 5975, 1093, 236789, 560, 2238, 786, 496, 2651, 990, 768, 564, 236789, 236753, 7489, 625, 1308, 496, 107106, 236761, 80358, 236789, 236751, 2506, 506, 1447, 2597, 573, 506, 3673, 236764, 532, 625, 236789, 236751, 2506, 600, 185761, 6374, 1133, 1041, 102016, 236789, 236751, 112354, 15028, 236761, 1599, 236789, 500, 496, 1759, 1601, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 500, 1401, 8349, 236764, 6822, 236888, 564, 236789, 236757, 834, 16126, 80358, 11906, 1133, 506, 4011, 4691, 237028, 509, 236858, 236751, 496, 1463, 600, 236858, 236751, 1800, 21475, 532, 29830, 49035, 528, 506, 10946, 4850, 236761, 669, 185761, 5603, 531, 822, 102016, 236858, 236751, 112354, 563, 1288, 496, 14954, 6374, 2311, 236793, 625, 236858, 236751, 1133, 506, 3673, 795, 6081, 496, 2268, 3103, 529, 2523, 41945, 528, 1418, 8052, 236761, 138, 108, 2859, 611, 3785, 1202, 1601, 607, 2264, 2203, 236764, 3658, 12871, 236764, 653, 1581, 1164, 496, 1855, 8737, 236764, 564, 236858, 236757, 1590, 236761, 20728, 3788, 237028, 624, 73419, 580, 506, 24352, 3673, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 236794, 195196, 7296, 529, 506, 1813, 236789, 236751, 506, 1791, 2712, 529, 11682, 236764, 35729, 236789, 236745, 625, 236881, 5393, 1133, 141512, 1679, 600, 83859, 3863, 237028, 45493, 236764, 53400, 236764, 532, 3590, 506, 3697, 1719, 2597, 1447, 236761, 66350, 611, 3209, 236764, 532, 8863, 1570, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 560, 13275, 17755, 625, 237028, 13534, 236789, 236751, 2613, 4180, 186779, 528, 600, 16932, 34824, 236764, 3363, 625, 236789, 236751, 506, 1813, 236789, 236751, 18479, 653, 506, 11261, 529, 83859, 25038, 822, 4916, 236761, 2981, 12010, 3213, 563, 506, 3710, 529, 506, 10946, 236764, 5889, 236789, 236745, 625, 236881, 11017, 573, 11211, 506, 8178, 236764, 6822, 236761, 228567, 611, 7080, 141512, 236764, 16680, 14513, 236764, 532, 496, 24352, 3673, 600, 9258, 618, 1623, 2765, 618, 625, 9258, 65818, 236761, 66350, 611, 3209, 236764, 4389, 236761, 236743, 244245, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 7946, 531, 8835, 16038, 32183, 53451, 528, 3879, 1651, 17096, 27661, 7606, 3439, 532, 8143, 4301, 16266, 236761, 9187, 684, 99760, 506, 6524, 6693, 32183, 2460, 38332, 699, 870, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 170194, 236772, 18582, 5457, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 170194, 236772, 18582, 236768, 531, 8701, 1806, 3435, 34091, 236761, 1701, 1546, 4563, 236764, 2426, 1873, 7606, 3439, 1699, 4108, 236755, 1853, 607, 12669, 1133, 756, 13319, 236789, 653, 756, 30400, 617, 236789, 531, 5608, 7426, 7606, 68009, 236761, 13472, 236764, 9279, 4301, 22086, 1534, 1239, 9979, 531, 6054, 506, 1346, 8143, 76717, 236761, 3792, 786, 1281, 768, 611, 1202, 30981, 1308, 1546, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17943, 1083, 11058, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 205171, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 117129, 236772, 50001, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 98788, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236771, 99471, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 1806, 16038, 32183, 4749, 528, 3879, 236761, 2282, 7162, 607, 7606, 17507, 532, 9116, 6995, 236764, 564, 1202, 506, 3530, 5213, 53343, 1018, 1298, 1239, 4749, 795, 577, 4247, 236761, 669, 1873, 9851, 1537, 236789, 236745, 3204, 4563, 4889, 236764, 834, 1451, 611, 9128, 506, 9979, 573, 236787, 108, 236770, 236761, 6693, 17607, 568, 30211, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 236778, 236761, 40035, 51544, 568, 30902, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 236800, 236761, 11689, 236789, 236751, 17607, 568, 36022, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 108, 14946, 564, 735, 506, 9979, 236764, 564, 236789, 859, 1161, 4108, 236755, 1853, 531, 5608, 7606, 3439, 532, 9279, 4301, 22086, 1534, 1091, 236761, 106, 107, 105, 2364, 107, 6481, 786, 2426, 506, 2460, 7704, 5467, 573, 4563, 4889, 236761, 564, 236789, 859, 1171, 68967, 506, 3530, 2460, 60973, 699, 506, 14626, 3104, 236764, 1299, 8430, 4563, 1938, 699, 1546, 2460, 236789, 236751, 11554, 60400, 236761, 1174, 1156, 236772, 9340, 4313, 1374, 2847, 506, 3207, 4889, 4354, 573, 7606, 17507, 532, 76717, 6995, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1166, 96376, 236779, 17943, 1083, 11058, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 205171, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 793, 3775, 236772, 91393, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 158659, 236772, 36244, 236772, 206717, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236771, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 13775, 734, 236772, 5265, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 6446, 236772, 51076, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236771, 236810, 14255, 623, 19031, 236779, 3456, 1083, 3714, 2074, 17943, 1083, 236743, 236810, 236764, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 205171, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 2705, 2750, 978, 1083, 1847, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 4070, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 89946, 4085, 6022, 5841, 827, 623, 10618, 1083, 623, 13319, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 793, 3775, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 89946, 827, 623, 14801, 1083, 623, 34692, 827, 623, 37673, 1083, 236743, 236810, 236778, 236761, 236810, 236778, 236764, 623, 41713, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236810, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236770, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 35898, 827, 623, 77269, 1083, 623, 236825, 236810, 38032, 5237, 3714, 547, 1083, 623, 11869, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 50429, 94648, 25822, 15097, 827, 623, 10618, 1083, 623, 30400, 617, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 158659, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 50429, 827, 623, 14801, 1083, 623, 31756, 827, 623, 37673, 1083, 236743, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 623, 41713, 1083, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236778, 236770, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 77269, 1083, 623, 236810, 236828, 38032, 5237, 3714, 547, 1083, 623, 1768, 236812, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 97375, 2111, 198592, 7455, 827, 623, 10618, 1083, 623, 30400, 617, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 6446, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 97375, 827, 623, 14801, 1083, 623, 65859, 827, 623, 37673, 1083, 236743, 236812, 236770, 236761, 236819, 236771, 236778, 236828, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236825, 236812, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236778, 236832, 236764, 623, 19216, 1083, 623, 22631, 7217, 827, 623, 77269, 1083, 623, 236812, 236810, 38032, 5237, 3714, 547, 1083, 623, 4070, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 97267, 734, 2375, 516, 7940, 827, 623, 10618, 1083, 623, 13319, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 13775, 734, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 97267, 734, 827, 623, 14801, 1083, 623, 34692, 827, 623, 37673, 1083, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 236770, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236761, 236810, 236828, 236778, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 12098, 6927, 827, 623, 77269, 1083, 623, 236832, 236778, 38032, 1807, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 236743, 236828, 236832, 236828, 236761, 236810, 236764, 623, 6805, 1083, 623, 31570, 51265, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 236779, 11375, 1083, 236743, 236770, 236800, 236828, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28725, 3671, 573, 822, 32183, 18006, 7946, 6995, 236787, 108, 1018, 26588, 30076, 568, 15218, 6940, 236755, 1853, 1473, 1018, 107, 236770, 236761, 5213, 89946, 1018, 568, 34692, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236770, 236828, 237366, 236780, 1109, 20402, 236787, 216726, 35898, 1109, 208719, 236787, 236743, 236825, 236810, 236908, 138, 107, 236778, 236761, 5213, 50429, 1018, 568, 31756, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236778, 236770, 237366, 236780, 1109, 20402, 236787, 52489, 1109, 208719, 236787, 236743, 236810, 236828, 236908, 138, 107, 236800, 236761, 5213, 97375, 1018, 568, 65859, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236778, 236832, 237366, 236780, 1109, 20402, 236787, 25179, 7217, 1109, 208719, 236787, 236743, 236812, 236810, 236908, 138, 107, 236812, 236761, 5213, 97267, 734, 1018, 568, 34692, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236770, 236825, 237366, 236780, 1109, 20402, 236787, 10847, 6927, 1109, 208719, 236787, 236743, 236832, 236778, 236908, 138, 108, 1018, 44410, 6063, 2499, 53121, 138, 107, 236772, 15687, 16130, 9079, 236787, 5213, 236828, 236832, 236828, 236761, 236810, 7251, 1018, 138, 107, 236772, 9079, 16130, 13706, 236787, 5213, 236770, 236764, 236800, 236828, 236771, 7251, 1018, 138, 108, 1018, 75652, 1030, 159502, 53121, 138, 107, 236770, 236761, 5213, 30211, 236743, 236770, 236810, 66515, 6693, 17607, 528, 5213, 89946, 1018, 568, 236760, 66174, 7606, 236768, 138, 107, 236778, 236761, 5213, 30902, 236743, 236770, 66515, 40035, 51544, 528, 5213, 89946, 1018, 568, 31159, 3207, 236764, 951, 4301, 4354, 236768, 138, 107, 236800, 236761, 5213, 36022, 236743, 236770, 236771, 66515, 11689, 236789, 236751, 17607, 528, 5213, 50429, 1018, 568, 185060, 7606, 236764, 236743, 236828, 236832, 236828, 236761, 236810, 7251, 699, 15687, 236768, 138, 107, 236812, 236761, 5213, 36817, 236743, 236778, 236778, 66515, 46566, 7607, 568, 32438, 63240, 2779, 531, 6927, 236793, 768, 21667, 236764, 236743, 236825, 236771, 236771, 7251, 699, 9079, 236768, 138, 107, 236810, 236761, 5213, 36956, 236743, 236810, 66515, 13706, 27847, 528, 5213, 97375, 1018, 568, 75951, 598, 7606, 236764, 236743, 236770, 236764, 236800, 236828, 236771, 7251, 699, 9079, 236768, 138, 108, 1018, 66649, 1230, 114314, 236881, 1018, 138, 107, 236772, 18975, 692, 56856, 5213, 97375, 1018, 1024, 46566, 2779, 531, 7606, 236881, 138, 107, 236772, 3574, 611, 1202, 81159, 17507, 573, 5213, 97267, 734, 7607, 1018, 653, 1032, 4749, 236881, 138, 107, 236772, 21284, 611, 1133, 531, 9279, 994, 22086, 653, 11327, 28540, 16266, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 59638, 506, 2731, 236888, 236743, 243594, 244906, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 7946, 531, 8835, 16038, 32183, 53451, 528, 3879, 1651, 17096, 27661, 7606, 3439, 532, 8143, 4301, 16266, 236761, 9187, 684, 99760, 506, 6524, 6693, 32183, 2460, 38332, 699, 870, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 170194, 236772, 18582, 5457, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 170194, 236772, 18582, 236768, 531, 8701, 1806, 3435, 34091, 236761, 1701, 1546, 4563, 236764, 2426, 1873, 7606, 3439, 1699, 4108, 236755, 1853, 607, 12669, 1133, 756, 13319, 236789, 653, 756, 30400, 617, 236789, 531, 5608, 7426, 7606, 68009, 236761, 13472, 236764, 9279, 4301, 22086, 1534, 1239, 9979, 531, 6054, 506, 1346, 8143, 76717, 236761, 3792, 786, 1281, 768, 611, 1202, 30981, 1308, 1546, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17943, 1083, 11058, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 205171, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 117129, 236772, 50001, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 98788, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236771, 99471, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 1806, 16038, 32183, 4749, 528, 3879, 236761, 2282, 7162, 607, 7606, 17507, 532, 9116, 6995, 236764, 564, 1202, 506, 3530, 5213, 53343, 1018, 1298, 1239, 4749, 795, 577, 4247, 236761, 669, 1873, 9851, 1537, 236789, 236745, 3204, 4563, 4889, 236764, 834, 1451, 611, 9128, 506, 9979, 573, 236787, 108, 236770, 236761, 6693, 17607, 568, 30211, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 236778, 236761, 40035, 51544, 568, 30902, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 236800, 236761, 11689, 236789, 236751, 17607, 568, 36022, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 108, 14946, 564, 735, 506, 9979, 236764, 564, 236789, 859, 1161, 4108, 236755, 1853, 531, 5608, 7606, 3439, 532, 9279, 4301, 22086, 1534, 1091, 236761, 106, 107, 105, 2364, 107, 6481, 786, 2426, 506, 2460, 7704, 5467, 573, 4563, 4889, 236761, 564, 236789, 859, 1171, 68967, 506, 3530, 2460, 60973, 699, 506, 14626, 3104, 236764, 1299, 8430, 4563, 1938, 699, 1546, 2460, 236789, 236751, 11554, 60400, 236761, 1174, 1156, 236772, 9340, 4313, 1374, 2847, 506, 3207, 4889, 4354, 573, 7606, 17507, 532, 76717, 6995, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1166, 96376, 236779, 17943, 1083, 11058, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 205171, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 793, 3775, 236772, 91393, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 158659, 236772, 36244, 236772, 206717, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236771, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 13775, 734, 236772, 5265, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 6446, 236772, 51076, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236771, 236810, 14255, 623, 19031, 236779, 3456, 1083, 3714, 2074, 17943, 1083, 236743, 236810, 236764, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 34247, 236772, 23426, 236761, 17485, 236786, 5106, 236786, 205171, 236772, 574, 11476, 236881, 1896, 236784, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 2705, 2750, 978, 1083, 1847, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 4070, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 89946, 4085, 6022, 5841, 827, 623, 10618, 1083, 623, 13319, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 793, 3775, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 89946, 827, 623, 14801, 1083, 623, 34692, 827, 623, 37673, 1083, 236743, 236810, 236778, 236761, 236810, 236778, 236764, 623, 41713, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236810, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236770, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 35898, 827, 623, 77269, 1083, 623, 236825, 236810, 38032, 5237, 3714, 547, 1083, 623, 11869, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 50429, 94648, 25822, 15097, 827, 623, 10618, 1083, 623, 30400, 617, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 158659, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 50429, 827, 623, 14801, 1083, 623, 31756, 827, 623, 37673, 1083, 236743, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 623, 41713, 1083, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236778, 236770, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 77269, 1083, 623, 236810, 236828, 38032, 5237, 3714, 547, 1083, 623, 1768, 236812, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 97375, 2111, 198592, 7455, 827, 623, 10618, 1083, 623, 30400, 617, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 6446, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 97375, 827, 623, 14801, 1083, 623, 65859, 827, 623, 37673, 1083, 236743, 236812, 236770, 236761, 236819, 236771, 236778, 236828, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236825, 236812, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236778, 236832, 236764, 623, 19216, 1083, 623, 22631, 7217, 827, 623, 77269, 1083, 623, 236812, 236810, 38032, 5237, 3714, 547, 1083, 623, 4070, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 97267, 734, 2375, 516, 7940, 827, 623, 10618, 1083, 623, 13319, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 13775, 734, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 97267, 734, 827, 623, 14801, 1083, 623, 34692, 827, 623, 37673, 1083, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 236770, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236761, 236810, 236828, 236778, 1263, 623, 19323, 1083, 3714, 27495, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 12098, 6927, 827, 623, 77269, 1083, 623, 236832, 236778, 38032, 1807, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 236743, 236828, 236832, 236828, 236761, 236810, 236764, 623, 6805, 1083, 623, 31570, 51265, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 236779, 11375, 1083, 236743, 236770, 236800, 236828, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28725, 3671, 573, 822, 32183, 18006, 7946, 6995, 236787, 108, 1018, 26588, 30076, 568, 15218, 6940, 236755, 1853, 1473, 1018, 107, 236770, 236761, 5213, 89946, 1018, 568, 34692, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236770, 236828, 237366, 236780, 1109, 20402, 236787, 216726, 35898, 1109, 208719, 236787, 236743, 236825, 236810, 236908, 138, 107, 236778, 236761, 5213, 50429, 1018, 568, 31756, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236778, 236770, 237366, 236780, 1109, 20402, 236787, 52489, 1109, 208719, 236787, 236743, 236810, 236828, 236908, 138, 107, 236800, 236761, 5213, 97375, 1018, 568, 65859, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236778, 236832, 237366, 236780, 1109, 20402, 236787, 25179, 7217, 1109, 208719, 236787, 236743, 236812, 236810, 236908, 138, 107, 236812, 236761, 5213, 97267, 734, 1018, 568, 34692, 236768, 138, 107, 139, 236772, 35267, 236787, 236743, 236770, 236825, 237366, 236780, 1109, 20402, 236787, 10847, 6927, 1109, 208719, 236787, 236743, 236832, 236778, 236908, 138, 108, 1018, 44410, 6063, 2499, 53121, 138, 107, 236772, 15687, 16130, 9079, 236787, 5213, 236828, 236832, 236828, 236761, 236810, 7251, 1018, 138, 107, 236772, 9079, 16130, 13706, 236787, 5213, 236770, 236764, 236800, 236828, 236771, 7251, 1018, 138, 108, 1018, 75652, 1030, 159502, 53121, 138, 107, 236770, 236761, 5213, 30211, 236743, 236770, 236810, 66515, 6693, 17607, 528, 5213, 89946, 1018, 568, 236760, 66174, 7606, 236768, 138, 107, 236778, 236761, 5213, 30902, 236743, 236770, 66515, 40035, 51544, 528, 5213, 89946, 1018, 568, 31159, 3207, 236764, 951, 4301, 4354, 236768, 138, 107, 236800, 236761, 5213, 36022, 236743, 236770, 236771, 66515, 11689, 236789, 236751, 17607, 528, 5213, 50429, 1018, 568, 185060, 7606, 236764, 236743, 236828, 236832, 236828, 236761, 236810, 7251, 699, 15687, 236768, 138, 107, 236812, 236761, 5213, 36817, 236743, 236778, 236778, 66515, 46566, 7607, 568, 32438, 63240, 2779, 531, 6927, 236793, 768, 21667, 236764, 236743, 236825, 236771, 236771, 7251, 699, 9079, 236768, 138, 107, 236810, 236761, 5213, 36956, 236743, 236810, 66515, 13706, 27847, 528, 5213, 97375, 1018, 568, 75951, 598, 7606, 236764, 236743, 236770, 236764, 236800, 236828, 236771, 7251, 699, 9079, 236768, 138, 108, 1018, 66649, 1230, 114314, 236881, 1018, 138, 107, 236772, 18975, 692, 56856, 5213, 97375, 1018, 1024, 46566, 2779, 531, 7606, 236881, 138, 107, 236772, 3574, 611, 1202, 81159, 17507, 573, 5213, 97267, 734, 7607, 1018, 653, 1032, 4749, 236881, 138, 107, 236772, 21284, 611, 1133, 531, 9279, 994, 22086, 653, 11327, 28540, 16266, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 59638, 506, 2731, 236888, 236743, 243594, 244906, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 506, 3736, 529, 506, 782, 2266, 21982, 236772, 22374, 13291, 573, 1366, 236770, 236743, 236778, 236771, 236778, 236800, 532, 10769, 625, 607, 886, 529, 1061, 5280, 10091, 236764, 10916, 9947, 236789, 236751, 2862, 236761, 5315, 236764, 33205, 506, 6376, 3546, 1262, 573, 506, 782, 2266, 21982, 236772, 22374, 13291, 1913, 672, 2846, 236761, 4298, 236764, 1699, 506, 14431, 9637, 18710, 699, 600, 1262, 236764, 8701, 9947, 236789, 236751, 5404, 532, 12270, 1061, 6376, 2862, 3736, 573, 506, 1638, 99299, 236761, 13472, 236764, 25774, 1800, 32542, 573, 9960, 236761, 3792, 786, 1281, 768, 1027, 4889, 1202, 65977, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236847, 7253, 236772, 7602, 827, 623, 32320, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 2662, 236779, 2394, 1083, 236743, 236770, 236778, 236810, 236771, 236761, 236800, 236812, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236810, 236778, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236828, 236832, 1263, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236800, 236828, 236764, 623, 2060, 1083, 753, 236771, 236761, 236771, 236771, 236812, 236810, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 2662, 236779, 2394, 1083, 236743, 236770, 236778, 236832, 236828, 236761, 236770, 236810, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236810, 236770, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236770, 236778, 236800, 1263, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236800, 236832, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236819, 236778, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 2662, 236779, 2394, 1083, 236743, 236770, 236800, 236770, 236778, 236761, 236825, 236832, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236812, 236819, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236770, 236810, 236825, 1263, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236800, 236825, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236825, 236828, 15947, 104960, 623, 32677, 236779, 29263, 1083, 3714, 236762, 2004, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236812, 236819, 236828, 236764, 623, 4477, 26633, 1083, 236743, 236771, 236761, 236770, 236778, 236812, 1263, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 1516, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 1083, 3714, 5265, 1083, 236743, 236770, 236800, 236771, 236761, 236770, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236800, 236778, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236778, 236828, 236761, 236812, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236770, 236761, 236832, 236778, 236764, 623, 20845, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 23179, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236778, 1083, 3714, 5265, 1083, 236743, 236770, 236800, 236770, 236761, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236800, 236800, 236761, 236778, 236764, 623, 976, 1083, 236743, 236770, 236800, 236771, 236761, 236819, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236778, 236761, 236812, 236810, 236764, 623, 20845, 1083, 623, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236775, 5237, 623, 27617, 1083, 623, 38556, 827, 623, 2662, 236779, 1201, 1083, 623, 236847, 2266, 21175, 40625, 13291, 753, 87342, 236798, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 506, 3149, 32542, 573, 822, 3671, 236787, 108, 236770, 236761, 5213, 236847, 2266, 21982, 236772, 22374, 13291, 568, 236847, 7253, 236772, 7602, 236768, 1366, 236770, 236743, 236778, 236771, 236778, 236800, 70731, 66515, 107, 236772, 13291, 1550, 4869, 699, 236743, 236770, 236764, 236778, 236810, 236771, 236761, 236800, 236812, 568, 18125, 236743, 236770, 236768, 531, 236743, 236770, 236764, 236800, 236770, 236778, 236761, 236825, 236832, 568, 9585, 236743, 236800, 236770, 236768, 107, 236772, 9947, 568, 226046, 236768, 3825, 16466, 8427, 699, 236743, 236810, 236761, 236778, 236908, 531, 236743, 236812, 236761, 236819, 236908, 107, 236772, 87342, 236798, 19263, 30706, 1546, 2297, 568, 236771, 236761, 236828, 236832, 65975, 236770, 236761, 236810, 236825, 236908, 13822, 7623, 236768, 108, 236778, 236761, 5213, 31319, 568, 226046, 236768, 18245, 13827, 5774, 66515, 107, 236772, 31278, 6376, 6527, 2487, 573, 4179, 236743, 236770, 236772, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 568, 10602, 1366, 236770, 1262, 1093, 1660, 4767, 6376, 16996, 6527, 236768, 107, 236772, 14691, 236787, 17016, 3385, 11076, 699, 609, 236770, 236800, 236770, 236761, 236832, 236778, 568, 18125, 236743, 236770, 236768, 531, 609, 236770, 236800, 236778, 236761, 236812, 236810, 568, 18125, 236743, 236778, 236768, 108, 1018, 9272, 50228, 573, 36520, 66515, 107, 236772, 564, 236789, 859, 9279, 87342, 236798, 236789, 236751, 13822, 7623, 699, 6376, 6527, 531, 4241, 506, 3546, 236789, 236751, 13822, 13761, 107, 236772, 1191, 740, 1299, 18840, 1217, 87342, 236798, 236789, 236751, 3736, 30446, 607, 506, 6782, 3546, 7296, 107, 236772, 21284, 611, 1133, 786, 531, 9279, 3530, 19455, 568, 236744, 236761, 236759, 1126, 13822, 2144, 2352, 236764, 12416, 531, 3546, 7623, 20625, 108, 818, 1262, 3831, 9947, 22541, 19263, 4414, 7623, 531, 506, 3546, 236764, 840, 692, 236789, 236753, 1202, 2587, 1366, 236770, 6376, 45165, 531, 4133, 506, 2862, 236772, 5909, 3671, 236761, 18975, 564, 2864, 4767, 1262, 3298, 573, 87342, 236798, 236789, 236751, 7250, 532, 5261, 3736, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 506, 3736, 529, 506, 782, 2266, 21982, 236772, 22374, 13291, 573, 1366, 236770, 236743, 236778, 236771, 236778, 236800, 532, 10769, 625, 607, 886, 529, 1061, 5280, 10091, 236764, 10916, 9947, 236789, 236751, 2862, 236761, 5315, 236764, 33205, 506, 6376, 3546, 1262, 573, 506, 782, 2266, 21982, 236772, 22374, 13291, 1913, 672, 2846, 236761, 4298, 236764, 1699, 506, 14431, 9637, 18710, 699, 600, 1262, 236764, 8701, 9947, 236789, 236751, 5404, 532, 12270, 1061, 6376, 2862, 3736, 573, 506, 1638, 99299, 236761, 13472, 236764, 25774, 1800, 32542, 573, 9960, 236761, 3792, 786, 1281, 768, 1027, 4889, 1202, 65977, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236847, 7253, 236772, 7602, 827, 623, 32320, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 2662, 236779, 2394, 1083, 236743, 236770, 236778, 236810, 236771, 236761, 236800, 236812, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236810, 236778, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236828, 236832, 1263, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236800, 236828, 236764, 623, 2060, 1083, 753, 236771, 236761, 236771, 236771, 236812, 236810, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 2662, 236779, 2394, 1083, 236743, 236770, 236778, 236832, 236828, 236761, 236770, 236810, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236810, 236770, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236770, 236778, 236800, 1263, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236800, 236832, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236819, 236778, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 2662, 236779, 2394, 1083, 236743, 236770, 236800, 236770, 236778, 236761, 236825, 236832, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236812, 236819, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236770, 236810, 236825, 1263, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 6078, 1083, 236743, 236771, 236761, 236771, 236800, 236825, 236764, 623, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236825, 236828, 15947, 104960, 623, 32677, 236779, 29263, 1083, 3714, 236762, 2004, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236812, 236819, 236828, 236764, 623, 4477, 26633, 1083, 236743, 236771, 236761, 236770, 236778, 236812, 1263, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 1516, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 1083, 3714, 5265, 1083, 236743, 236770, 236800, 236771, 236761, 236770, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236800, 236778, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236778, 236828, 236761, 236812, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236770, 236761, 236832, 236778, 236764, 623, 20845, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 23179, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236778, 1083, 3714, 5265, 1083, 236743, 236770, 236800, 236770, 236761, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236800, 236800, 236761, 236778, 236764, 623, 976, 1083, 236743, 236770, 236800, 236771, 236761, 236819, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236778, 236761, 236812, 236810, 236764, 623, 20845, 1083, 623, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236775, 5237, 623, 27617, 1083, 623, 38556, 827, 623, 2662, 236779, 1201, 1083, 623, 236847, 2266, 21175, 40625, 13291, 753, 87342, 236798, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 506, 3149, 32542, 573, 822, 3671, 236787, 108, 236770, 236761, 5213, 236847, 2266, 21982, 236772, 22374, 13291, 568, 236847, 7253, 236772, 7602, 236768, 1366, 236770, 236743, 236778, 236771, 236778, 236800, 70731, 66515, 107, 236772, 13291, 1550, 4869, 699, 236743, 236770, 236764, 236778, 236810, 236771, 236761, 236800, 236812, 568, 18125, 236743, 236770, 236768, 531, 236743, 236770, 236764, 236800, 236770, 236778, 236761, 236825, 236832, 568, 9585, 236743, 236800, 236770, 236768, 107, 236772, 9947, 568, 226046, 236768, 3825, 16466, 8427, 699, 236743, 236810, 236761, 236778, 236908, 531, 236743, 236812, 236761, 236819, 236908, 107, 236772, 87342, 236798, 19263, 30706, 1546, 2297, 568, 236771, 236761, 236828, 236832, 65975, 236770, 236761, 236810, 236825, 236908, 13822, 7623, 236768, 108, 236778, 236761, 5213, 31319, 568, 226046, 236768, 18245, 13827, 5774, 66515, 107, 236772, 31278, 6376, 6527, 2487, 573, 4179, 236743, 236770, 236772, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 568, 10602, 1366, 236770, 1262, 1093, 1660, 4767, 6376, 16996, 6527, 236768, 107, 236772, 14691, 236787, 17016, 3385, 11076, 699, 609, 236770, 236800, 236770, 236761, 236832, 236778, 568, 18125, 236743, 236770, 236768, 531, 609, 236770, 236800, 236778, 236761, 236812, 236810, 568, 18125, 236743, 236778, 236768, 108, 1018, 9272, 50228, 573, 36520, 66515, 107, 236772, 564, 236789, 859, 9279, 87342, 236798, 236789, 236751, 13822, 7623, 699, 6376, 6527, 531, 4241, 506, 3546, 236789, 236751, 13822, 13761, 107, 236772, 1191, 740, 1299, 18840, 1217, 87342, 236798, 236789, 236751, 3736, 30446, 607, 506, 6782, 3546, 7296, 107, 236772, 21284, 611, 1133, 786, 531, 9279, 3530, 19455, 568, 236744, 236761, 236759, 1126, 13822, 2144, 2352, 236764, 12416, 531, 3546, 7623, 20625, 108, 818, 1262, 3831, 9947, 22541, 19263, 4414, 7623, 531, 506, 3546, 236764, 840, 692, 236789, 236753, 1202, 2587, 1366, 236770, 6376, 45165, 531, 4133, 506, 2862, 236772, 5909, 3671, 236761, 18975, 564, 2864, 4767, 1262, 3298, 573, 87342, 236798, 236789, 236751, 7250, 532, 5261, 3736, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 1900, 496, 19406, 699, 1041, 8126, 9180, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 1093, 2174, 786, 531, 1601, 607, 24121, 19406, 653, 37860, 607, 9180, 3019, 236761, 3551, 1873, 15858, 659, 5809, 531, 7107, 2430, 10789, 2721, 580, 506, 3847, 5904, 236761, 21284, 611, 1133, 1601, 607, 7107, 614, 2881, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 1900, 496, 19406, 699, 1041, 8126, 9180, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 1093, 2174, 786, 531, 1601, 607, 24121, 19406, 653, 37860, 607, 9180, 3019, 236761, 3551, 1873, 15858, 659, 5809, 531, 7107, 2430, 10789, 2721, 580, 506, 3847, 5904, 236761, 21284, 611, 1133, 1601, 607, 7107, 614, 2881, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 4006, 1041, 3997, 6130, 532, 1765, 496, 40032, 2260, 21250, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 607, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236761, 28344, 611, 33205, 506, 9813, 1938, 1003, 672, 1698, 573, 786, 236881, 564, 236858, 236753, 1133, 531, 3050, 1061, 3004, 532, 21212, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 3250, 1083, 623, 109799, 8813, 236787, 562, 47746, 45750, 827, 623, 6386, 1083, 623, 136143, 153736, 236764, 45773, 630, 236761, 29005, 827, 623, 9707, 1083, 236743, 236812, 236810, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236776, 13611, 8214, 531, 4532, 10002, 3997, 236764, 14086, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 49308, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 11134, 1083, 236743, 236800, 236810, 236778, 236764, 623, 19859, 1083, 623, 27832, 827, 623, 27975, 1083, 11058, 17844, 833, 8813, 827, 623, 109799, 20467, 827, 623, 236788, 236772, 41586, 14255, 623, 13271, 236779, 43203, 1083, 623, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236828, 236819, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 1473, 108, 1018, 7396, 66515, 43499, 8813, 236787, 562, 47746, 45750, 138, 107, 1018, 14953, 66515, 35442, 153736, 236764, 45773, 630, 236761, 29005, 138, 107, 1018, 11280, 66515, 609, 236812, 236810, 236761, 236819, 236819, 568, 38556, 236768, 138, 107, 1018, 81606, 6809, 66515, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236771, 138, 107, 1018, 26685, 66515, 236743, 236800, 236810, 236778, 138, 107, 1018, 28040, 66515, 5422, 138, 107, 1018, 44576, 66515, 7449, 833, 8813, 236764, 43499, 20467, 236764, 645, 236772, 41586, 138, 108, 1018, 9770, 66515, 138, 107, 2094, 13611, 8214, 13526, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 1030, 5132, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 236761, 562, 870, 13271, 7312, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236768, 563, 2487, 573, 18201, 236761, 108, 1018, 19952, 31727, 66515, 138, 107, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 4398, 14470, 699, 236743, 236770, 236764, 236828, 236819, 236778, 10595, 138, 108, 38786, 611, 1133, 786, 531, 33205, 3530, 10595, 653, 8357, 2931, 10217, 529, 506, 2260, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 25890, 236888, 28344, 611, 1492, 33205, 506, 5602, 10595, 573, 506, 1638, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236881, 564, 236858, 236757, 6412, 7467, 528, 6611, 1144, 15021, 8357, 8859, 506, 10231, 44362, 532, 1624, 5254, 6950, 528, 506, 6492, 236761, 7129, 53552, 104846, 653, 95869, 1003, 1239, 10217, 1093, 1601, 786, 10741, 768, 625, 100146, 607, 1041, 4735, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236828, 236810, 236764, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236776, 236778, 236799, 236800, 236780, 236812, 236796, 236810, 236788, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 25612, 236779, 1005, 1083, 623, 818, 10231, 44362, 528, 672, 2260, 22094, 1217, 564, 4313, 1262, 3671, 236761, 669, 1624, 5254, 659, 20068, 9813, 532, 5467, 11955, 531, 1759, 236772, 12392, 25521, 236761, 562, 1921, 236772, 1399, 573, 37735, 41218, 623, 2364, 1083, 623, 2100, 63447, 617, 236778, 236771, 236778, 236800, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236832, 236811, 236828, 236823, 236819, 236814, 236771, 236777, 236770, 236863, 236778, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 25612, 236779, 1005, 1083, 623, 58632, 12606, 529, 1624, 5254, 236764, 3635, 1070, 44362, 6345, 496, 3103, 36389, 236761, 19238, 236764, 506, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 10498, 623, 2364, 1083, 623, 88634, 1489, 236819, 236819, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236800, 236855, 236812, 236798, 236810, 236792, 236825, 236797, 236832, 236806, 236828, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 25612, 236779, 1005, 1083, 623, 105367, 2707, 236761, 669, 1624, 5254, 964, 6121, 236764, 840, 506, 44362, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 236761, 114314, 66273, 5405, 531, 1500, 3008, 10498, 623, 2364, 1083, 623, 46297, 8925, 236770, 236771, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236778, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 5602, 10595, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 779, 19541, 580, 506, 10231, 44362, 532, 1624, 5254, 236787, 108, 1018, 33062, 47240, 66515, 136723, 236743, 236812, 236761, 236778, 236786, 236810, 568, 5140, 580, 236743, 236778, 236828, 236810, 10595, 236768, 138, 108, 10354, 9533, 137944, 528, 31727, 236787, 107, 236770, 236761, 5213, 70163, 3708, 573, 61286, 36376, 236751, 1018, 138, 107, 139, 236772, 5213, 167143, 167143, 240281, 66515, 165996, 818, 10231, 44362, 22094, 1217, 564, 4313, 1262, 3671, 236761, 181141, 11955, 531, 1759, 236772, 12392, 25521, 1781, 236829, 568, 2100, 63447, 617, 236778, 236771, 236778, 236800, 236764, 2481, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236772, 5213, 167143, 167143, 66515, 165996, 58632, 12606, 529, 1624, 5254, 1390, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 1781, 236829, 568, 88634, 1489, 236819, 236819, 236764, 5656, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 236778, 236761, 5213, 52795, 580, 15316, 14419, 1018, 138, 107, 139, 236772, 9352, 616, 22541, 24724, 506, 5213, 15104, 532, 36787, 1018, 529, 1624, 5254, 699, 3262, 30686, 236764, 28830, 910, 61155, 573, 6611, 14971, 6182, 236761, 138, 108, 236800, 236761, 5213, 64477, 705, 145854, 1018, 138, 107, 139, 236772, 5213, 167143, 240281, 66515, 165996, 25173, 236751, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 1390, 114314, 66273, 5405, 1781, 236829, 568, 46297, 8925, 236770, 236771, 236770, 236764, 4179, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 10354, 25252, 236787, 138, 107, 236772, 5213, 40308, 159517, 66515, 61286, 236764, 1759, 236772, 12392, 8698, 532, 44362, 600, 114542, 607, 9763, 14477, 236761, 138, 107, 236772, 5213, 24501, 567, 66515, 3353, 1660, 91798, 4654, 653, 56656, 5417, 573, 15021, 861, 531, 10002, 3997, 14485, 236761, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 1027, 3530, 6084, 529, 506, 10595, 653, 3213, 580, 496, 2931, 1722, 529, 9697, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 3540, 3671, 236761, 28344, 611, 1492, 5957, 506, 10595, 531, 8357, 1027, 42298, 529, 506, 5498, 7312, 568, 236744, 236761, 236759, 1126, 8968, 1003, 1061, 61155, 236764, 29972, 236764, 653, 1217, 625, 89289, 506, 44362, 236786, 4925, 5254, 20625, 564, 236858, 236753, 1133, 531, 20138, 768, 18201, 522, 506, 5498, 2473, 1601, 786, 2480, 36181, 506, 2260, 236858, 236751, 4313, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 818, 10595, 52236, 776, 711, 25010, 4928, 506, 5498, 7312, 653, 1061, 3004, 236761, 3153, 236764, 2721, 580, 506, 1698, 4889, 3847, 6517, 236764, 506, 5498, 7312, 563, 2487, 870, 8472, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 769, 5978, 7293, 529, 506, 10595, 5467, 3421, 506, 5498, 7312, 236789, 236751, 61155, 653, 29972, 236764, 506, 5213, 11480, 4398, 14470, 568, 236812, 236761, 236800, 236786, 236810, 62902, 532, 30450, 573, 506, 2260, 236858, 236751, 10231, 44362, 532, 1624, 5254, 3600, 600, 506, 5498, 1149, 2847, 496, 3188, 18201, 529, 506, 2260, 236858, 236751, 1550, 236761, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 8214, 611, 1343, 496, 7545, 531, 6077, 5608, 506, 5498, 7312, 236858, 236751, 36787, 236764, 1288, 618, 3182, 573, 236787, 138, 107, 236770, 236761, 5213, 81605, 49975, 44362, 1018, 568, 236744, 236761, 236759, 1126, 29981, 236764, 4681, 236768, 600, 8082, 7157, 14485, 236761, 138, 107, 236778, 236761, 5213, 1683, 2858, 30333, 699, 1624, 5254, 1018, 531, 20138, 910, 8744, 532, 67921, 236761, 138, 107, 236800, 236761, 5213, 1829, 23765, 529, 5712, 3117, 1018, 573, 36453, 568, 236744, 236761, 236759, 1126, 127481, 7728, 236761, 14529, 5192, 769, 138, 108, 38786, 611, 1133, 11221, 573, 30923, 506, 5498, 7312, 236764, 653, 2863, 564, 49573, 506, 2260, 236858, 236751, 6782, 25000, 607, 822, 4735, 7675, 2721, 580, 506, 1262, 21508, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 4006, 1041, 3997, 6130, 532, 1765, 496, 40032, 2260, 21250, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 607, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236761, 28344, 611, 33205, 506, 9813, 1938, 1003, 672, 1698, 573, 786, 236881, 564, 236858, 236753, 1133, 531, 3050, 1061, 3004, 532, 21212, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 3250, 1083, 623, 109799, 8813, 236787, 562, 47746, 45750, 827, 623, 6386, 1083, 623, 136143, 153736, 236764, 45773, 630, 236761, 29005, 827, 623, 9707, 1083, 236743, 236812, 236810, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236776, 13611, 8214, 531, 4532, 10002, 3997, 236764, 14086, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 49308, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 11134, 1083, 236743, 236800, 236810, 236778, 236764, 623, 19859, 1083, 623, 27832, 827, 623, 27975, 1083, 11058, 17844, 833, 8813, 827, 623, 109799, 20467, 827, 623, 236788, 236772, 41586, 14255, 623, 13271, 236779, 43203, 1083, 623, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236828, 236819, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 1473, 108, 1018, 7396, 66515, 43499, 8813, 236787, 562, 47746, 45750, 138, 107, 1018, 14953, 66515, 35442, 153736, 236764, 45773, 630, 236761, 29005, 138, 107, 1018, 11280, 66515, 609, 236812, 236810, 236761, 236819, 236819, 568, 38556, 236768, 138, 107, 1018, 81606, 6809, 66515, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236771, 138, 107, 1018, 26685, 66515, 236743, 236800, 236810, 236778, 138, 107, 1018, 28040, 66515, 5422, 138, 107, 1018, 44576, 66515, 7449, 833, 8813, 236764, 43499, 20467, 236764, 645, 236772, 41586, 138, 108, 1018, 9770, 66515, 138, 107, 2094, 13611, 8214, 13526, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 1030, 5132, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 236761, 562, 870, 13271, 7312, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236768, 563, 2487, 573, 18201, 236761, 108, 1018, 19952, 31727, 66515, 138, 107, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 4398, 14470, 699, 236743, 236770, 236764, 236828, 236819, 236778, 10595, 138, 108, 38786, 611, 1133, 786, 531, 33205, 3530, 10595, 653, 8357, 2931, 10217, 529, 506, 2260, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 25890, 236888, 28344, 611, 1492, 33205, 506, 5602, 10595, 573, 506, 1638, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236881, 564, 236858, 236757, 6412, 7467, 528, 6611, 1144, 15021, 8357, 8859, 506, 10231, 44362, 532, 1624, 5254, 6950, 528, 506, 6492, 236761, 7129, 53552, 104846, 653, 95869, 1003, 1239, 10217, 1093, 1601, 786, 10741, 768, 625, 100146, 607, 1041, 4735, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236828, 236810, 236764, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236776, 236778, 236799, 236800, 236780, 236812, 236796, 236810, 236788, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 25612, 236779, 1005, 1083, 623, 818, 10231, 44362, 528, 672, 2260, 22094, 1217, 564, 4313, 1262, 3671, 236761, 669, 1624, 5254, 659, 20068, 9813, 532, 5467, 11955, 531, 1759, 236772, 12392, 25521, 236761, 562, 1921, 236772, 1399, 573, 37735, 41218, 623, 2364, 1083, 623, 2100, 63447, 617, 236778, 236771, 236778, 236800, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236832, 236811, 236828, 236823, 236819, 236814, 236771, 236777, 236770, 236863, 236778, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 25612, 236779, 1005, 1083, 623, 58632, 12606, 529, 1624, 5254, 236764, 3635, 1070, 44362, 6345, 496, 3103, 36389, 236761, 19238, 236764, 506, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 10498, 623, 2364, 1083, 623, 88634, 1489, 236819, 236819, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236800, 236855, 236812, 236798, 236810, 236792, 236825, 236797, 236832, 236806, 236828, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 25612, 236779, 1005, 1083, 623, 105367, 2707, 236761, 669, 1624, 5254, 964, 6121, 236764, 840, 506, 44362, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 236761, 114314, 66273, 5405, 531, 1500, 3008, 10498, 623, 2364, 1083, 623, 46297, 8925, 236770, 236771, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236778, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 5602, 10595, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 779, 19541, 580, 506, 10231, 44362, 532, 1624, 5254, 236787, 108, 1018, 33062, 47240, 66515, 136723, 236743, 236812, 236761, 236778, 236786, 236810, 568, 5140, 580, 236743, 236778, 236828, 236810, 10595, 236768, 138, 108, 10354, 9533, 137944, 528, 31727, 236787, 107, 236770, 236761, 5213, 70163, 3708, 573, 61286, 36376, 236751, 1018, 138, 107, 139, 236772, 5213, 167143, 167143, 240281, 66515, 165996, 818, 10231, 44362, 22094, 1217, 564, 4313, 1262, 3671, 236761, 181141, 11955, 531, 1759, 236772, 12392, 25521, 1781, 236829, 568, 2100, 63447, 617, 236778, 236771, 236778, 236800, 236764, 2481, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236772, 5213, 167143, 167143, 66515, 165996, 58632, 12606, 529, 1624, 5254, 1390, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 1781, 236829, 568, 88634, 1489, 236819, 236819, 236764, 5656, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 236778, 236761, 5213, 52795, 580, 15316, 14419, 1018, 138, 107, 139, 236772, 9352, 616, 22541, 24724, 506, 5213, 15104, 532, 36787, 1018, 529, 1624, 5254, 699, 3262, 30686, 236764, 28830, 910, 61155, 573, 6611, 14971, 6182, 236761, 138, 108, 236800, 236761, 5213, 64477, 705, 145854, 1018, 138, 107, 139, 236772, 5213, 167143, 240281, 66515, 165996, 25173, 236751, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 1390, 114314, 66273, 5405, 1781, 236829, 568, 46297, 8925, 236770, 236771, 236770, 236764, 4179, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 10354, 25252, 236787, 138, 107, 236772, 5213, 40308, 159517, 66515, 61286, 236764, 1759, 236772, 12392, 8698, 532, 44362, 600, 114542, 607, 9763, 14477, 236761, 138, 107, 236772, 5213, 24501, 567, 66515, 3353, 1660, 91798, 4654, 653, 56656, 5417, 573, 15021, 861, 531, 10002, 3997, 14485, 236761, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 1027, 3530, 6084, 529, 506, 10595, 653, 3213, 580, 496, 2931, 1722, 529, 9697, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 3540, 3671, 236761, 28344, 611, 1492, 5957, 506, 10595, 531, 8357, 1027, 42298, 529, 506, 5498, 7312, 568, 236744, 236761, 236759, 1126, 8968, 1003, 1061, 61155, 236764, 29972, 236764, 653, 1217, 625, 89289, 506, 44362, 236786, 4925, 5254, 20625, 564, 236858, 236753, 1133, 531, 20138, 768, 18201, 522, 506, 5498, 2473, 1601, 786, 2480, 36181, 506, 2260, 236858, 236751, 4313, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 818, 10595, 52236, 776, 711, 25010, 4928, 506, 5498, 7312, 653, 1061, 3004, 236761, 3153, 236764, 2721, 580, 506, 1698, 4889, 3847, 6517, 236764, 506, 5498, 7312, 563, 2487, 870, 8472, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 769, 5978, 7293, 529, 506, 10595, 5467, 3421, 506, 5498, 7312, 236789, 236751, 61155, 653, 29972, 236764, 506, 5213, 11480, 4398, 14470, 568, 236812, 236761, 236800, 236786, 236810, 62902, 532, 30450, 573, 506, 2260, 236858, 236751, 10231, 44362, 532, 1624, 5254, 3600, 600, 506, 5498, 1149, 2847, 496, 3188, 18201, 529, 506, 2260, 236858, 236751, 1550, 236761, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 8214, 611, 1343, 496, 7545, 531, 6077, 5608, 506, 5498, 7312, 236858, 236751, 36787, 236764, 1288, 618, 3182, 573, 236787, 138, 107, 236770, 236761, 5213, 81605, 49975, 44362, 1018, 568, 236744, 236761, 236759, 1126, 29981, 236764, 4681, 236768, 600, 8082, 7157, 14485, 236761, 138, 107, 236778, 236761, 5213, 1683, 2858, 30333, 699, 1624, 5254, 1018, 531, 20138, 910, 8744, 532, 67921, 236761, 138, 107, 236800, 236761, 5213, 1829, 23765, 529, 5712, 3117, 1018, 573, 36453, 568, 236744, 236761, 236759, 1126, 127481, 7728, 236761, 14529, 5192, 769, 138, 108, 38786, 611, 1133, 11221, 573, 30923, 506, 5498, 7312, 236764, 653, 2863, 564, 49573, 506, 2260, 236858, 236751, 6782, 25000, 607, 822, 4735, 7675, 2721, 580, 506, 1262, 21508, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 21811, 211405, 18006, 573, 1023, 9180, 4698, 532, 1202, 1601, 16074, 1679, 506, 1447, 8283, 236761, 3792, 236789, 236751, 1502, 684, 8159, 3607, 236789, 236751, 49411, 12669, 573, 5484, 1024, 236743, 236800, 236771, 753, 1161, 506, 12669, 5904, 236761, 9920, 692, 974, 506, 8038, 5853, 236764, 2426, 837, 53451, 659, 5158, 672, 3409, 1699, 8038, 30400, 30353, 236761, 1637, 600, 4146, 236764, 1531, 236789, 236751, 974, 506, 1873, 90915, 607, 674, 25653, 536, 3745, 2244, 1013, 531, 8701, 1903, 7974, 531, 24372, 236761, 2024, 768, 506, 8038, 30400, 30353, 2246, 20269, 236764, 2056, 506, 2148, 24119, 8038, 5853, 236761, 6542, 236764, 1202, 506, 2148, 4241, 10368, 573, 506, 1903, 236743, 236778, 7974, 1699, 2434, 4874, 25541, 3622, 692, 735, 910, 2434, 62606, 699, 506, 90915, 236761, 17608, 786, 10448, 657, 1546, 2918, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 547, 1083, 236743, 236770, 236778, 236832, 236764, 623, 1201, 1083, 623, 40169, 236789, 236751, 126991, 37463, 568, 236800, 236771, 236862, 22730, 623, 24385, 1083, 623, 38667, 827, 623, 676, 236779, 4043, 1083, 623, 236800, 236771, 135527, 623, 2084, 1083, 623, 546, 14119, 23179, 3714, 547, 1083, 236743, 236828, 236819, 236764, 623, 1201, 1083, 623, 22463, 236789, 236751, 7607, 23471, 827, 623, 24385, 1083, 623, 40404, 827, 623, 676, 236779, 4043, 1083, 623, 7084, 827, 623, 2084, 1083, 623, 45437, 23179, 3714, 547, 1083, 236743, 236770, 236810, 236812, 236764, 623, 1201, 1083, 623, 105367, 26700, 17607, 749, 236770, 236828, 827, 623, 24385, 1083, 623, 63258, 827, 623, 676, 236779, 4043, 1083, 623, 14713, 236743, 236770, 236828, 827, 623, 2084, 1083, 623, 574, 11476, 23179, 3714, 547, 1083, 236743, 236778, 236771, 236800, 236764, 623, 1201, 1083, 623, 40169, 236789, 236751, 19563, 126991, 568, 236812, 236771, 236862, 22730, 623, 24385, 1083, 623, 38667, 827, 623, 676, 236779, 4043, 1083, 623, 236812, 236771, 135527, 623, 2084, 1083, 623, 546, 14119, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30400, 30353, 1083, 78493, 50001, 236779, 547, 1083, 623, 236774, 236770, 236778, 236832, 236776, 827, 623, 1201, 1083, 623, 42377, 11689, 236789, 236751, 7178, 236772, 236800, 236771, 126991, 176357, 9654, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 4818, 1083, 623, 5034, 827, 623, 4002, 236779, 20253, 1083, 623, 27753, 20273, 827, 623, 68925, 236779, 63595, 1083, 236743, 236770, 236825, 1263, 3714, 50001, 236779, 547, 1083, 623, 236774, 236770, 236778, 236832, 236799, 827, 623, 1201, 1083, 623, 18085, 73354, 176357, 11193, 568, 40169, 236789, 236751, 12522, 22730, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236778, 236771, 827, 623, 4818, 1083, 623, 144376, 827, 623, 4002, 236779, 20253, 1083, 623, 44383, 7607, 827, 623, 68925, 236779, 63595, 1083, 236743, 236828, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 236779, 547, 1083, 623, 20008, 236819, 236771, 236770, 827, 623, 14992, 236779, 1201, 1083, 623, 48659, 147108, 827, 623, 11116, 1083, 236743, 236812, 236828, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236778, 236778, 236764, 623, 76339, 1083, 236743, 236770, 236810, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236800, 236778, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 236779, 547, 1083, 623, 20008, 236832, 236825, 236810, 827, 623, 14992, 236779, 1201, 1083, 623, 48496, 23781, 127128, 827, 623, 11116, 1083, 236743, 236812, 236810, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236778, 236778, 236764, 623, 76339, 1083, 236743, 236770, 236812, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236810, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236828, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 236779, 547, 1083, 623, 20008, 236828, 236828, 236778, 827, 623, 14992, 236779, 1201, 1083, 623, 16520, 40520, 827, 623, 11116, 1083, 236743, 236812, 236778, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236778, 236778, 236764, 623, 76339, 1083, 236743, 236770, 236800, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236825, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236810, 25938, 1604, 623, 50001, 236779, 3906, 1083, 3714, 50001, 236779, 547, 1083, 623, 236774, 236770, 236778, 236832, 236776, 827, 623, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 10618, 1083, 623, 40169, 236789, 236751, 126991, 7178, 236743, 236800, 236771, 827, 623, 4002, 236779, 20253, 1083, 623, 27753, 20273, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 157638, 1083, 623, 18373, 33353, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 17698, 14669, 9519, 827, 623, 157775, 1083, 623, 5820, 665, 11193, 236743, 236778, 236771, 236778, 236810, 23179, 3714, 157638, 1083, 623, 18373, 50553, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 170425, 36770, 827, 623, 157775, 1083, 623, 98472, 66257, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 157638, 1083, 623, 18373, 33353, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 17698, 36770, 827, 623, 157775, 1083, 623, 20918, 176357, 11193, 23179, 3714, 157638, 1083, 623, 76796, 50535, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 130913, 603, 827, 623, 157775, 1083, 623, 98472, 126991, 9654, 25938, 1604, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236778, 236764, 623, 6725, 236779, 25541, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 1938, 573, 822, 21811, 18006, 6995, 236787, 108, 236770, 236761, 5213, 14945, 23223, 66515, 138, 107, 139, 236775, 40169, 236789, 236751, 126991, 37463, 568, 236800, 236771, 236862, 16291, 568, 1735, 236743, 236770, 236778, 236832, 236768, 1765, 607, 236743, 236770, 236825, 7974, 12314, 236761, 108, 236778, 236761, 5213, 14009, 51544, 66515, 138, 107, 139, 236775, 42377, 11689, 236789, 236751, 7178, 236772, 236800, 236771, 126991, 176357, 9654, 236775, 568, 236774, 236770, 236778, 236832, 236776, 236768, 563, 5158, 528, 236743, 236778, 236771, 236778, 236810, 236761, 108, 236800, 236761, 5213, 8534, 46001, 699, 8383, 1013, 66515, 138, 107, 139, 236772, 5213, 236770, 540, 66515, 18663, 147108, 568, 20008, 236819, 236771, 236770, 236768, 753, 55733, 64767, 900, 236800, 236778, 138, 107, 139, 236772, 5213, 236778, 523, 66515, 16522, 23781, 127128, 568, 20008, 236832, 236825, 236810, 236768, 753, 55733, 64767, 900, 236778, 236828, 138, 108, 236812, 236761, 5213, 9272, 145918, 573, 8231, 46001, 66515, 138, 107, 139, 236772, 5213, 48659, 147108, 1018, 568, 20008, 236819, 236771, 236770, 1473, 138, 107, 141, 236772, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 568, 5820, 665, 11193, 236743, 236778, 236771, 236778, 236810, 7728, 10765, 33353, 236768, 138, 107, 141, 236772, 5505, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 568, 98472, 66257, 7728, 10765, 50553, 236768, 138, 107, 139, 236772, 5213, 48496, 23781, 127128, 1018, 568, 20008, 236832, 236825, 236810, 1473, 138, 107, 141, 236772, 6243, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 20918, 176357, 11193, 7728, 10765, 33353, 236768, 138, 107, 141, 236772, 6243, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 568, 98472, 126991, 9654, 7728, 50553, 50535, 236768, 138, 108, 195096, 7918, 236787, 669, 16522, 23781, 127128, 236789, 12853, 659, 9456, 573, 236743, 236778, 236771, 236778, 236800, 753, 9128, 607, 506, 7974, 768, 1239, 14069, 659, 11459, 653, 768, 993, 236789, 236751, 496, 1262, 59725, 236761, 669, 18663, 147108, 735, 10778, 236743, 236778, 236771, 236778, 236810, 12853, 528, 506, 73354, 11193, 236761, 21284, 611, 1133, 531, 7162, 607, 57416, 1239, 7974, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 21811, 211405, 18006, 573, 1023, 9180, 4698, 532, 1202, 1601, 16074, 1679, 506, 1447, 8283, 236761, 3792, 236789, 236751, 1502, 684, 8159, 3607, 236789, 236751, 49411, 12669, 573, 5484, 1024, 236743, 236800, 236771, 753, 1161, 506, 12669, 5904, 236761, 9920, 692, 974, 506, 8038, 5853, 236764, 2426, 837, 53451, 659, 5158, 672, 3409, 1699, 8038, 30400, 30353, 236761, 1637, 600, 4146, 236764, 1531, 236789, 236751, 974, 506, 1873, 90915, 607, 674, 25653, 536, 3745, 2244, 1013, 531, 8701, 1903, 7974, 531, 24372, 236761, 2024, 768, 506, 8038, 30400, 30353, 2246, 20269, 236764, 2056, 506, 2148, 24119, 8038, 5853, 236761, 6542, 236764, 1202, 506, 2148, 4241, 10368, 573, 506, 1903, 236743, 236778, 7974, 1699, 2434, 4874, 25541, 3622, 692, 735, 910, 2434, 62606, 699, 506, 90915, 236761, 17608, 786, 10448, 657, 1546, 2918, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 547, 1083, 236743, 236770, 236778, 236832, 236764, 623, 1201, 1083, 623, 40169, 236789, 236751, 126991, 37463, 568, 236800, 236771, 236862, 22730, 623, 24385, 1083, 623, 38667, 827, 623, 676, 236779, 4043, 1083, 623, 236800, 236771, 135527, 623, 2084, 1083, 623, 546, 14119, 23179, 3714, 547, 1083, 236743, 236828, 236819, 236764, 623, 1201, 1083, 623, 22463, 236789, 236751, 7607, 23471, 827, 623, 24385, 1083, 623, 40404, 827, 623, 676, 236779, 4043, 1083, 623, 7084, 827, 623, 2084, 1083, 623, 45437, 23179, 3714, 547, 1083, 236743, 236770, 236810, 236812, 236764, 623, 1201, 1083, 623, 105367, 26700, 17607, 749, 236770, 236828, 827, 623, 24385, 1083, 623, 63258, 827, 623, 676, 236779, 4043, 1083, 623, 14713, 236743, 236770, 236828, 827, 623, 2084, 1083, 623, 574, 11476, 23179, 3714, 547, 1083, 236743, 236778, 236771, 236800, 236764, 623, 1201, 1083, 623, 40169, 236789, 236751, 19563, 126991, 568, 236812, 236771, 236862, 22730, 623, 24385, 1083, 623, 38667, 827, 623, 676, 236779, 4043, 1083, 623, 236812, 236771, 135527, 623, 2084, 1083, 623, 546, 14119, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30400, 30353, 1083, 78493, 50001, 236779, 547, 1083, 623, 236774, 236770, 236778, 236832, 236776, 827, 623, 1201, 1083, 623, 42377, 11689, 236789, 236751, 7178, 236772, 236800, 236771, 126991, 176357, 9654, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 4818, 1083, 623, 5034, 827, 623, 4002, 236779, 20253, 1083, 623, 27753, 20273, 827, 623, 68925, 236779, 63595, 1083, 236743, 236770, 236825, 1263, 3714, 50001, 236779, 547, 1083, 623, 236774, 236770, 236778, 236832, 236799, 827, 623, 1201, 1083, 623, 18085, 73354, 176357, 11193, 568, 40169, 236789, 236751, 12522, 22730, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236778, 236771, 827, 623, 4818, 1083, 623, 144376, 827, 623, 4002, 236779, 20253, 1083, 623, 44383, 7607, 827, 623, 68925, 236779, 63595, 1083, 236743, 236828, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 236779, 547, 1083, 623, 20008, 236819, 236771, 236770, 827, 623, 14992, 236779, 1201, 1083, 623, 48659, 147108, 827, 623, 11116, 1083, 236743, 236812, 236828, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236778, 236778, 236764, 623, 76339, 1083, 236743, 236770, 236810, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236800, 236778, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 236779, 547, 1083, 623, 20008, 236832, 236825, 236810, 827, 623, 14992, 236779, 1201, 1083, 623, 48496, 23781, 127128, 827, 623, 11116, 1083, 236743, 236812, 236810, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236778, 236778, 236764, 623, 76339, 1083, 236743, 236770, 236812, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236810, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236828, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 236779, 547, 1083, 623, 20008, 236828, 236828, 236778, 827, 623, 14992, 236779, 1201, 1083, 623, 16520, 40520, 827, 623, 11116, 1083, 236743, 236812, 236778, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236778, 236778, 236764, 623, 76339, 1083, 236743, 236770, 236800, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236825, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236810, 25938, 1604, 623, 50001, 236779, 3906, 1083, 3714, 50001, 236779, 547, 1083, 623, 236774, 236770, 236778, 236832, 236776, 827, 623, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 10618, 1083, 623, 40169, 236789, 236751, 126991, 7178, 236743, 236800, 236771, 827, 623, 4002, 236779, 20253, 1083, 623, 27753, 20273, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 157638, 1083, 623, 18373, 33353, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 17698, 14669, 9519, 827, 623, 157775, 1083, 623, 5820, 665, 11193, 236743, 236778, 236771, 236778, 236810, 23179, 3714, 157638, 1083, 623, 18373, 50553, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 170425, 36770, 827, 623, 157775, 1083, 623, 98472, 66257, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 157638, 1083, 623, 18373, 33353, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 17698, 36770, 827, 623, 157775, 1083, 623, 20918, 176357, 11193, 23179, 3714, 157638, 1083, 623, 76796, 50535, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 130913, 603, 827, 623, 157775, 1083, 623, 98472, 126991, 9654, 25938, 1604, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236778, 236764, 623, 6725, 236779, 25541, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 1938, 573, 822, 21811, 18006, 6995, 236787, 108, 236770, 236761, 5213, 14945, 23223, 66515, 138, 107, 139, 236775, 40169, 236789, 236751, 126991, 37463, 568, 236800, 236771, 236862, 16291, 568, 1735, 236743, 236770, 236778, 236832, 236768, 1765, 607, 236743, 236770, 236825, 7974, 12314, 236761, 108, 236778, 236761, 5213, 14009, 51544, 66515, 138, 107, 139, 236775, 42377, 11689, 236789, 236751, 7178, 236772, 236800, 236771, 126991, 176357, 9654, 236775, 568, 236774, 236770, 236778, 236832, 236776, 236768, 563, 5158, 528, 236743, 236778, 236771, 236778, 236810, 236761, 108, 236800, 236761, 5213, 8534, 46001, 699, 8383, 1013, 66515, 138, 107, 139, 236772, 5213, 236770, 540, 66515, 18663, 147108, 568, 20008, 236819, 236771, 236770, 236768, 753, 55733, 64767, 900, 236800, 236778, 138, 107, 139, 236772, 5213, 236778, 523, 66515, 16522, 23781, 127128, 568, 20008, 236832, 236825, 236810, 236768, 753, 55733, 64767, 900, 236778, 236828, 138, 108, 236812, 236761, 5213, 9272, 145918, 573, 8231, 46001, 66515, 138, 107, 139, 236772, 5213, 48659, 147108, 1018, 568, 20008, 236819, 236771, 236770, 1473, 138, 107, 141, 236772, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 568, 5820, 665, 11193, 236743, 236778, 236771, 236778, 236810, 7728, 10765, 33353, 236768, 138, 107, 141, 236772, 5505, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 568, 98472, 66257, 7728, 10765, 50553, 236768, 138, 107, 139, 236772, 5213, 48496, 23781, 127128, 1018, 568, 20008, 236832, 236825, 236810, 1473, 138, 107, 141, 236772, 6243, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 20918, 176357, 11193, 7728, 10765, 33353, 236768, 138, 107, 141, 236772, 6243, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 568, 98472, 126991, 9654, 7728, 50553, 50535, 236768, 138, 108, 195096, 7918, 236787, 669, 16522, 23781, 127128, 236789, 12853, 659, 9456, 573, 236743, 236778, 236771, 236778, 236800, 753, 9128, 607, 506, 7974, 768, 1239, 14069, 659, 11459, 653, 768, 993, 236789, 236751, 496, 1262, 59725, 236761, 669, 18663, 147108, 735, 10778, 236743, 236778, 236771, 236778, 236810, 12853, 528, 506, 73354, 11193, 236761, 21284, 611, 1133, 531, 7162, 607, 57416, 1239, 7974, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 31236, 506, 2066, 11749, 573, 496, 4430, 236789, 236751, 3161, 236772, 20253, 12214, 1458, 236761, 2195, 3847, 496, 1873, 4988, 529, 236743, 236778, 236771, 90289, 236764, 532, 692, 236789, 500, 2844, 607, 496, 236743, 236778, 236812, 236771, 236847, 8659, 236761, 669, 5842, 1368, 10988, 15852, 496, 2066, 5415, 529, 236743, 236771, 236761, 236828, 236810, 236761, 3199, 611, 7352, 600, 531, 62214, 1699, 506, 6780, 5904, 236881, 1174, 795, 1601, 786, 15128, 2778, 9286, 531, 506, 4430, 1913, 1023, 5886, 5395, 16922, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10310, 236779, 215746, 1083, 236743, 236812, 236771, 236828, 236771, 236783, 106, 107, 105, 4368, 107, 818, 2066, 11749, 573, 506, 3161, 236772, 20253, 12214, 1458, 563, 5213, 236812, 236771, 236828, 236771, 62214, 568, 236824, 62902, 236761, 138, 108, 2094, 691, 9255, 1699, 506, 6581, 236787, 138, 107, 1018, 18312, 568, 236824, 236768, 578, 14040, 568, 236776, 236768, 15666, 80536, 568, 236847, 236768, 15666, 7338, 42985, 1018, 138, 107, 236784, 236743, 236778, 236771, 562, 15666, 236743, 236778, 236812, 236771, 782, 15666, 236743, 236771, 236761, 236828, 236810, 578, 236743, 236812, 236771, 236828, 236771, 649, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 15621, 653, 215539, 573, 822, 5886, 5395, 236888, 103453, 106, 107, 105, 2364, 107, 6445, 600, 564, 1281, 506, 2066, 11749, 563, 236743, 236812, 236771, 236828, 236771, 236824, 236764, 564, 1202, 531, 9279, 506, 1873, 4988, 768, 506, 4430, 42392, 531, 496, 236743, 236810, 236771, 236771, 236771, 236824, 3161, 236772, 20253, 1458, 607, 506, 1638, 236743, 236778, 236812, 236771, 236847, 9832, 532, 236743, 236771, 236761, 236828, 236810, 2066, 5415, 236761, 3199, 611, 1161, 506, 14416, 14988, 5904, 531, 1586, 672, 202608, 236881, 1174, 795, 1601, 786, 8082, 8659, 6541, 6035, 573, 910, 10534, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 546, 72753, 1083, 236743, 236778, 236812, 236761, 236810, 236770, 236764, 623, 25441, 1083, 623, 236776, 25938, 106, 107, 105, 4368, 107, 818, 1873, 4988, 573, 506, 40269, 236743, 236810, 236771, 236771, 236771, 236824, 3161, 236772, 20253, 1458, 1093, 577, 5213, 236778, 236812, 236761, 236810, 236770, 108419, 568, 236776, 62902, 236761, 138, 108, 2094, 691, 9255, 1699, 506, 6581, 236787, 138, 107, 1018, 8782, 568, 236776, 236768, 578, 7338, 568, 236824, 236768, 108140, 568, 132565, 568, 236847, 236768, 15666, 7338, 42985, 62902, 138, 107, 236784, 236743, 236810, 236771, 236771, 236771, 649, 108140, 568, 236778, 236812, 236771, 782, 15666, 236743, 236771, 236761, 236828, 236810, 236768, 67081, 236743, 236778, 236812, 236761, 236810, 236770, 562, 236761, 138, 108, 2094, 2820, 506, 4430, 236858, 236751, 8659, 795, 1202, 531, 6060, 5213, 236995, 236778, 236812, 236761, 236810, 236776, 1018, 573, 506, 15744, 1458, 236761, 1599, 740, 1161, 672, 531, 3249, 8659, 70216, 84490, 236764, 8733, 20138, 6035, 236764, 653, 3435, 8309, 42392, 607, 506, 4430, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 236743, 248850, 106, 107, 105, 2364, 107, 236777, 1202, 531, 6054, 768, 26182, 531, 496, 1806, 236772, 20253, 1458, 1093, 577, 919, 8143, 573, 506, 4430, 236789, 236751, 236743, 236810, 236771, 236771, 236771, 236824, 10884, 236761, 10352, 506, 1638, 236743, 236778, 236812, 236771, 236847, 9832, 532, 236743, 236771, 236761, 236828, 236810, 2066, 5415, 236764, 740, 611, 9279, 506, 1873, 4988, 573, 496, 1806, 236772, 20253, 9831, 236881, 1174, 795, 1601, 786, 10769, 3161, 236772, 20253, 7728, 236761, 1806, 236772, 20253, 6035, 532, 5840, 506, 1791, 5086, 573, 910, 10534, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 546, 72753, 1083, 236743, 236770, 236812, 236761, 236770, 236810, 236764, 623, 14210, 1083, 623, 19765, 236772, 20253, 3797, 11082, 1660, 3718, 1873, 1082, 3161, 236772, 20253, 573, 506, 1638, 2066, 236764, 14526, 9286, 528, 8459, 6182, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1873, 4988, 573, 496, 5213, 19891, 236772, 20253, 236743, 236810, 236771, 236771, 236771, 236824, 1458, 1018, 657, 236743, 236778, 236812, 236771, 236847, 607, 496, 236743, 236771, 236761, 236828, 236810, 2066, 5415, 1093, 577, 5213, 236770, 236812, 236761, 236770, 236810, 108419, 568, 236776, 62902, 236761, 138, 108, 2094, 563, 9255, 1699, 506, 1806, 236772, 20253, 6581, 236787, 138, 107, 1018, 8782, 568, 236776, 236768, 578, 7338, 568, 236824, 236768, 108140, 568, 239176, 236800, 15666, 80536, 568, 236847, 236768, 15666, 7338, 42985, 62902, 138, 107, 236784, 236743, 236810, 236771, 236771, 236771, 649, 108140, 568, 236770, 236761, 236832, 236800, 236778, 15666, 236743, 236778, 236812, 236771, 782, 15666, 236743, 236771, 236761, 236828, 236810, 236768, 67081, 5213, 236770, 236812, 236761, 236770, 236810, 562, 84750, 138, 108, 10354, 36520, 236787, 107, 236909, 5213, 4521, 9250, 1018, 1109, 5213, 8782, 22705, 1018, 1109, 5213, 3503, 103057, 1018, 1109, 107, 236909, 2819, 726, 236909, 2819, 726, 236909, 2819, 33129, 236909, 107, 236909, 21175, 236772, 20253, 141, 236909, 236743, 236778, 236812, 236761, 236810, 236770, 562, 146, 236909, 34474, 1873, 236764, 6268, 35615, 236786, 223635, 3149, 1109, 107, 236909, 14019, 236772, 20253, 142, 236909, 5213, 236770, 236812, 236761, 236770, 236810, 562, 1018, 142, 236909, 5213, 236800, 236771, 236772, 236812, 236771, 236908, 3718, 1873, 1018, 573, 1638, 2066, 236764, 2480, 9286, 1109, 108, 10354, 111506, 236787, 107, 236776, 1806, 236772, 20253, 1458, 1093, 577, 5213, 8478, 149038, 919, 8143, 1018, 573, 910, 10534, 236787, 107, 236772, 5213, 218189, 63980, 532, 8659, 114344, 1018, 568, 11462, 1873, 17707, 2561, 236786, 138832, 5384, 769, 107, 236772, 5213, 150521, 9832, 7266, 1018, 532, 5213, 11462, 2778, 14672, 1018, 1024, 1440, 22086, 236761, 107, 236772, 45891, 573, 8459, 5842, 568, 236744, 236761, 236759, 1126, 30854, 236764, 69650, 3797, 236768, 600, 3187, 8784, 67456, 580, 1806, 236772, 20253, 2066, 236761, 108, 9675, 236764, 9128, 768, 506, 4430, 236858, 236751, 10056, 3016, 815, 1806, 236772, 20253, 2509, 2487, 236764, 618, 15341, 50742, 740, 11719, 82425, 5384, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 236743, 243082, 249772, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 31236, 506, 2066, 11749, 573, 496, 4430, 236789, 236751, 3161, 236772, 20253, 12214, 1458, 236761, 2195, 3847, 496, 1873, 4988, 529, 236743, 236778, 236771, 90289, 236764, 532, 692, 236789, 500, 2844, 607, 496, 236743, 236778, 236812, 236771, 236847, 8659, 236761, 669, 5842, 1368, 10988, 15852, 496, 2066, 5415, 529, 236743, 236771, 236761, 236828, 236810, 236761, 3199, 611, 7352, 600, 531, 62214, 1699, 506, 6780, 5904, 236881, 1174, 795, 1601, 786, 15128, 2778, 9286, 531, 506, 4430, 1913, 1023, 5886, 5395, 16922, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10310, 236779, 215746, 1083, 236743, 236812, 236771, 236828, 236771, 236783, 106, 107, 105, 4368, 107, 818, 2066, 11749, 573, 506, 3161, 236772, 20253, 12214, 1458, 563, 5213, 236812, 236771, 236828, 236771, 62214, 568, 236824, 62902, 236761, 138, 108, 2094, 691, 9255, 1699, 506, 6581, 236787, 138, 107, 1018, 18312, 568, 236824, 236768, 578, 14040, 568, 236776, 236768, 15666, 80536, 568, 236847, 236768, 15666, 7338, 42985, 1018, 138, 107, 236784, 236743, 236778, 236771, 562, 15666, 236743, 236778, 236812, 236771, 782, 15666, 236743, 236771, 236761, 236828, 236810, 578, 236743, 236812, 236771, 236828, 236771, 649, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 15621, 653, 215539, 573, 822, 5886, 5395, 236888, 103453, 106, 107, 105, 2364, 107, 6445, 600, 564, 1281, 506, 2066, 11749, 563, 236743, 236812, 236771, 236828, 236771, 236824, 236764, 564, 1202, 531, 9279, 506, 1873, 4988, 768, 506, 4430, 42392, 531, 496, 236743, 236810, 236771, 236771, 236771, 236824, 3161, 236772, 20253, 1458, 607, 506, 1638, 236743, 236778, 236812, 236771, 236847, 9832, 532, 236743, 236771, 236761, 236828, 236810, 2066, 5415, 236761, 3199, 611, 1161, 506, 14416, 14988, 5904, 531, 1586, 672, 202608, 236881, 1174, 795, 1601, 786, 8082, 8659, 6541, 6035, 573, 910, 10534, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 546, 72753, 1083, 236743, 236778, 236812, 236761, 236810, 236770, 236764, 623, 25441, 1083, 623, 236776, 25938, 106, 107, 105, 4368, 107, 818, 1873, 4988, 573, 506, 40269, 236743, 236810, 236771, 236771, 236771, 236824, 3161, 236772, 20253, 1458, 1093, 577, 5213, 236778, 236812, 236761, 236810, 236770, 108419, 568, 236776, 62902, 236761, 138, 108, 2094, 691, 9255, 1699, 506, 6581, 236787, 138, 107, 1018, 8782, 568, 236776, 236768, 578, 7338, 568, 236824, 236768, 108140, 568, 132565, 568, 236847, 236768, 15666, 7338, 42985, 62902, 138, 107, 236784, 236743, 236810, 236771, 236771, 236771, 649, 108140, 568, 236778, 236812, 236771, 782, 15666, 236743, 236771, 236761, 236828, 236810, 236768, 67081, 236743, 236778, 236812, 236761, 236810, 236770, 562, 236761, 138, 108, 2094, 2820, 506, 4430, 236858, 236751, 8659, 795, 1202, 531, 6060, 5213, 236995, 236778, 236812, 236761, 236810, 236776, 1018, 573, 506, 15744, 1458, 236761, 1599, 740, 1161, 672, 531, 3249, 8659, 70216, 84490, 236764, 8733, 20138, 6035, 236764, 653, 3435, 8309, 42392, 607, 506, 4430, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 236743, 248850, 106, 107, 105, 2364, 107, 236777, 1202, 531, 6054, 768, 26182, 531, 496, 1806, 236772, 20253, 1458, 1093, 577, 919, 8143, 573, 506, 4430, 236789, 236751, 236743, 236810, 236771, 236771, 236771, 236824, 10884, 236761, 10352, 506, 1638, 236743, 236778, 236812, 236771, 236847, 9832, 532, 236743, 236771, 236761, 236828, 236810, 2066, 5415, 236764, 740, 611, 9279, 506, 1873, 4988, 573, 496, 1806, 236772, 20253, 9831, 236881, 1174, 795, 1601, 786, 10769, 3161, 236772, 20253, 7728, 236761, 1806, 236772, 20253, 6035, 532, 5840, 506, 1791, 5086, 573, 910, 10534, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 546, 72753, 1083, 236743, 236770, 236812, 236761, 236770, 236810, 236764, 623, 14210, 1083, 623, 19765, 236772, 20253, 3797, 11082, 1660, 3718, 1873, 1082, 3161, 236772, 20253, 573, 506, 1638, 2066, 236764, 14526, 9286, 528, 8459, 6182, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1873, 4988, 573, 496, 5213, 19891, 236772, 20253, 236743, 236810, 236771, 236771, 236771, 236824, 1458, 1018, 657, 236743, 236778, 236812, 236771, 236847, 607, 496, 236743, 236771, 236761, 236828, 236810, 2066, 5415, 1093, 577, 5213, 236770, 236812, 236761, 236770, 236810, 108419, 568, 236776, 62902, 236761, 138, 108, 2094, 563, 9255, 1699, 506, 1806, 236772, 20253, 6581, 236787, 138, 107, 1018, 8782, 568, 236776, 236768, 578, 7338, 568, 236824, 236768, 108140, 568, 239176, 236800, 15666, 80536, 568, 236847, 236768, 15666, 7338, 42985, 62902, 138, 107, 236784, 236743, 236810, 236771, 236771, 236771, 649, 108140, 568, 236770, 236761, 236832, 236800, 236778, 15666, 236743, 236778, 236812, 236771, 782, 15666, 236743, 236771, 236761, 236828, 236810, 236768, 67081, 5213, 236770, 236812, 236761, 236770, 236810, 562, 84750, 138, 108, 10354, 36520, 236787, 107, 236909, 5213, 4521, 9250, 1018, 1109, 5213, 8782, 22705, 1018, 1109, 5213, 3503, 103057, 1018, 1109, 107, 236909, 2819, 726, 236909, 2819, 726, 236909, 2819, 33129, 236909, 107, 236909, 21175, 236772, 20253, 141, 236909, 236743, 236778, 236812, 236761, 236810, 236770, 562, 146, 236909, 34474, 1873, 236764, 6268, 35615, 236786, 223635, 3149, 1109, 107, 236909, 14019, 236772, 20253, 142, 236909, 5213, 236770, 236812, 236761, 236770, 236810, 562, 1018, 142, 236909, 5213, 236800, 236771, 236772, 236812, 236771, 236908, 3718, 1873, 1018, 573, 1638, 2066, 236764, 2480, 9286, 1109, 108, 10354, 111506, 236787, 107, 236776, 1806, 236772, 20253, 1458, 1093, 577, 5213, 8478, 149038, 919, 8143, 1018, 573, 910, 10534, 236787, 107, 236772, 5213, 218189, 63980, 532, 8659, 114344, 1018, 568, 11462, 1873, 17707, 2561, 236786, 138832, 5384, 769, 107, 236772, 5213, 150521, 9832, 7266, 1018, 532, 5213, 11462, 2778, 14672, 1018, 1024, 1440, 22086, 236761, 107, 236772, 45891, 573, 8459, 5842, 568, 236744, 236761, 236759, 1126, 30854, 236764, 69650, 3797, 236768, 600, 3187, 8784, 67456, 580, 1806, 236772, 20253, 2066, 236761, 108, 9675, 236764, 9128, 768, 506, 4430, 236858, 236751, 10056, 3016, 815, 1806, 236772, 20253, 2509, 2487, 236764, 618, 15341, 50742, 740, 11719, 82425, 5384, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 236743, 243082, 249772, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 4875, 531, 2958, 17075, 22726, 6607, 528, 17090, 532, 4257, 14277, 2338, 564, 236858, 236757, 6995, 531, 817, 1063, 531, 2528, 912, 236772, 2289, 1651, 2844, 236761, 564, 1461, 531, 3213, 580, 6607, 600, 2729, 14887, 30916, 573, 2844, 12795, 532, 735, 3188, 165656, 2065, 4122, 236764, 840, 564, 236858, 236757, 46002, 684, 506, 3835, 236761, 28344, 611, 1601, 18840, 506, 1903, 3927, 2536, 573, 999, 232320, 22726, 6607, 17090, 4257, 14277, 14887, 30916, 165656, 4122, 236919, 531, 8701, 3364, 22888, 1133, 5384, 236764, 84982, 236764, 532, 9737, 7760, 236881, 564, 236858, 859, 1202, 1800, 506, 4068, 7609, 3671, 532, 506, 18761, 2536, 3622, 625, 236858, 236751, 5508, 236761, 3792, 786, 1281, 768, 611, 740, 6060, 672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3278, 236779, 28263, 1083, 3714, 11757, 236779, 37311, 1083, 11058, 2806, 778, 2109, 827, 623, 132457, 39252, 573, 2844, 12795, 827, 623, 1716, 22189, 2065, 4122, 827, 623, 552, 14444, 5135, 827, 623, 72414, 7760, 14255, 623, 234863, 236779, 10470, 1083, 11058, 90508, 827, 623, 23425, 14277, 152254, 623, 86708, 1083, 78493, 1201, 1083, 623, 46600, 64315, 206039, 40121, 827, 623, 7777, 1083, 623, 48873, 6607, 8357, 528, 236772, 3255, 49362, 6224, 6131, 9873, 236795, 4624, 9873, 9873, 83580, 4867, 11278, 17489, 236764, 532, 33000, 607, 3399, 28319, 531, 6439, 5384, 221476, 3714, 1201, 1083, 623, 131223, 153025, 827, 623, 7777, 1083, 623, 236828, 236786, 236770, 236771, 6607, 2729, 9137, 236764, 9735, 236764, 653, 16217, 568, 23557, 236786, 495, 236772, 8269, 236768, 27857, 10916, 5402, 573, 2844, 14477, 221476, 3714, 1201, 1083, 623, 33338, 22189, 10668, 177007, 827, 623, 7777, 1083, 623, 19892, 25755, 4820, 3204, 11554, 165656, 22726, 12420, 236764, 9737, 74609, 528, 1440, 236772, 6061, 2065, 8848, 236764, 532, 27942, 5499, 2404, 5699, 221476, 3714, 1201, 1083, 623, 5475, 1192, 5135, 31022, 827, 623, 7777, 1083, 623, 3243, 1903, 6607, 1694, 84982, 699, 10914, 6136, 653, 11659, 1439, 236764, 607, 3131, 28830, 4767, 1883, 3905, 85745, 573, 10231, 22726, 16710, 221476, 3714, 1201, 1083, 623, 87958, 118836, 827, 623, 7777, 1083, 623, 162114, 42298, 529, 126853, 607, 10969, 16106, 12230, 568, 236744, 236761, 236759, 1126, 153243, 42622, 236764, 174522, 5554, 236768, 573, 4916, 236772, 498, 4122, 221476, 3714, 1201, 1083, 623, 15162, 49483, 827, 623, 7777, 1083, 623, 131223, 16710, 2644, 699, 236743, 236770, 236828, 3794, 568, 85005, 774, 236768, 531, 236743, 236800, 1518, 568, 1655, 236772, 2289, 779, 607, 5065, 7234, 3298, 573, 2844, 12795, 1781, 104960, 623, 21052, 1083, 3714, 6725, 236779, 12103, 236779, 79082, 8562, 1083, 236743, 236770, 236771, 236764, 623, 11147, 2027, 236779, 34436, 1083, 623, 236832, 236771, 236908, 653, 919, 529, 7021, 44112, 7824, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 1903, 236743, 236770, 236771, 3927, 2536, 573, 623, 232320, 22726, 6607, 17090, 4257, 14277, 14887, 30916, 165656, 4122, 1083, 108, 1018, 3503, 137944, 229414, 53121, 108, 236770, 236761, 5213, 23077, 23718, 1018, 138, 107, 139, 236772, 799, 236772, 3255, 49362, 21280, 699, 609, 236770, 236771, 236764, 236771, 236771, 236771, 236964, 236795, 236778, 236810, 236764, 236771, 236771, 236771, 2558, 1948, 2157, 138, 107, 139, 236772, 236743, 236832, 236786, 236770, 236771, 6607, 8357, 4867, 11278, 33000, 607, 1883, 19059, 529, 22726, 138, 107, 139, 236772, 11493, 8672, 27581, 568, 236744, 236761, 236759, 1126, 76880, 22202, 7430, 236768, 2729, 3718, 236772, 13769, 128647, 138, 108, 236778, 236761, 5213, 212441, 151366, 1018, 138, 107, 139, 236772, 236743, 236828, 236771, 236908, 2729, 9137, 236786, 197768, 9737, 74609, 138, 107, 139, 236772, 50154, 27857, 2487, 657, 11326, 1133, 4257, 3148, 568, 71087, 28873, 236768, 532, 106107, 3148, 236789, 236751, 47457, 236772, 1071, 236772, 5580, 236797, 1948, 138, 107, 139, 236772, 236743, 236812, 6607, 4928, 623, 25421, 6779, 105117, 236775, 607, 6530, 30916, 138, 108, 236800, 236761, 5213, 33338, 22189, 10624, 1854, 1018, 138, 107, 139, 236772, 31026, 165656, 74609, 528, 236743, 236819, 236786, 236770, 236771, 6607, 138, 107, 139, 236772, 153243, 3148, 532, 11669, 3148, 529, 4257, 14277, 568, 97615, 236780, 236768, 2729, 11554, 27942, 5499, 2404, 16710, 138, 107, 139, 236772, 236743, 236825, 6607, 1694, 16496, 49591, 573, 165656, 2065, 25521, 138, 108, 236812, 236761, 5213, 5475, 1192, 5135, 1018, 138, 107, 139, 236772, 2343, 236743, 236770, 236771, 6607, 57495, 684, 10914, 6136, 653, 11659, 1439, 138, 107, 139, 236772, 236743, 236810, 6607, 10916, 4928, 1883, 3905, 529, 22726, 85745, 573, 10231, 22726, 16710, 138, 108, 236810, 236761, 5213, 87958, 42879, 1018, 138, 107, 139, 236772, 18787, 33000, 607, 236787, 138, 107, 141, 236772, 153243, 42622, 568, 109180, 236768, 138, 107, 141, 236772, 174522, 5554, 568, 7427, 236768, 138, 107, 141, 236772, 7134, 7991, 5554, 1804, 568, 10032, 236768, 138, 107, 139, 236772, 236743, 236828, 236786, 236770, 236771, 6607, 2729, 13023, 9737, 24859, 3835, 138, 108, 236825, 236761, 5213, 15162, 37598, 1018, 138, 107, 139, 236772, 43899, 603, 19763, 236787, 236743, 236778, 236812, 236964, 236800, 236825, 3794, 138, 107, 139, 236772, 188429, 16710, 236787, 236743, 236770, 236828, 3794, 568, 236744, 236761, 236759, 1126, 77771, 3148, 236768, 138, 107, 139, 236772, 4040, 236772, 2289, 47457, 236772, 1071, 236772, 5580, 236797, 236787, 236743, 236778, 236771, 236964, 236778, 236828, 3794, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 112676, 2536, 531, 3530, 9979, 568, 236744, 236761, 236759, 1126, 26431, 236764, 18693, 236764, 114044, 20625, 138, 107, 236778, 236761, 44906, 3530, 6607, 6950, 528, 1239, 2536, 236881, 138, 107, 236800, 236761, 7179, 573, 4767, 18774, 1133, 23316, 32712, 1786, 6224, 653, 3195, 24859, 14906, 236881, 138, 108, 818, 3671, 563, 2721, 580, 496, 236743, 236832, 236771, 236519, 3364, 2027, 14272, 3418, 506, 1903, 236743, 236770, 236771, 3927, 2536, 236761, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 59638, 672, 3342, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 4875, 531, 2958, 17075, 22726, 6607, 528, 17090, 532, 4257, 14277, 2338, 564, 236858, 236757, 6995, 531, 817, 1063, 531, 2528, 912, 236772, 2289, 1651, 2844, 236761, 564, 1461, 531, 3213, 580, 6607, 600, 2729, 14887, 30916, 573, 2844, 12795, 532, 735, 3188, 165656, 2065, 4122, 236764, 840, 564, 236858, 236757, 46002, 684, 506, 3835, 236761, 28344, 611, 1601, 18840, 506, 1903, 3927, 2536, 573, 999, 232320, 22726, 6607, 17090, 4257, 14277, 14887, 30916, 165656, 4122, 236919, 531, 8701, 3364, 22888, 1133, 5384, 236764, 84982, 236764, 532, 9737, 7760, 236881, 564, 236858, 859, 1202, 1800, 506, 4068, 7609, 3671, 532, 506, 18761, 2536, 3622, 625, 236858, 236751, 5508, 236761, 3792, 786, 1281, 768, 611, 740, 6060, 672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3278, 236779, 28263, 1083, 3714, 11757, 236779, 37311, 1083, 11058, 2806, 778, 2109, 827, 623, 132457, 39252, 573, 2844, 12795, 827, 623, 1716, 22189, 2065, 4122, 827, 623, 552, 14444, 5135, 827, 623, 72414, 7760, 14255, 623, 234863, 236779, 10470, 1083, 11058, 90508, 827, 623, 23425, 14277, 152254, 623, 86708, 1083, 78493, 1201, 1083, 623, 46600, 64315, 206039, 40121, 827, 623, 7777, 1083, 623, 48873, 6607, 8357, 528, 236772, 3255, 49362, 6224, 6131, 9873, 236795, 4624, 9873, 9873, 83580, 4867, 11278, 17489, 236764, 532, 33000, 607, 3399, 28319, 531, 6439, 5384, 221476, 3714, 1201, 1083, 623, 131223, 153025, 827, 623, 7777, 1083, 623, 236828, 236786, 236770, 236771, 6607, 2729, 9137, 236764, 9735, 236764, 653, 16217, 568, 23557, 236786, 495, 236772, 8269, 236768, 27857, 10916, 5402, 573, 2844, 14477, 221476, 3714, 1201, 1083, 623, 33338, 22189, 10668, 177007, 827, 623, 7777, 1083, 623, 19892, 25755, 4820, 3204, 11554, 165656, 22726, 12420, 236764, 9737, 74609, 528, 1440, 236772, 6061, 2065, 8848, 236764, 532, 27942, 5499, 2404, 5699, 221476, 3714, 1201, 1083, 623, 5475, 1192, 5135, 31022, 827, 623, 7777, 1083, 623, 3243, 1903, 6607, 1694, 84982, 699, 10914, 6136, 653, 11659, 1439, 236764, 607, 3131, 28830, 4767, 1883, 3905, 85745, 573, 10231, 22726, 16710, 221476, 3714, 1201, 1083, 623, 87958, 118836, 827, 623, 7777, 1083, 623, 162114, 42298, 529, 126853, 607, 10969, 16106, 12230, 568, 236744, 236761, 236759, 1126, 153243, 42622, 236764, 174522, 5554, 236768, 573, 4916, 236772, 498, 4122, 221476, 3714, 1201, 1083, 623, 15162, 49483, 827, 623, 7777, 1083, 623, 131223, 16710, 2644, 699, 236743, 236770, 236828, 3794, 568, 85005, 774, 236768, 531, 236743, 236800, 1518, 568, 1655, 236772, 2289, 779, 607, 5065, 7234, 3298, 573, 2844, 12795, 1781, 104960, 623, 21052, 1083, 3714, 6725, 236779, 12103, 236779, 79082, 8562, 1083, 236743, 236770, 236771, 236764, 623, 11147, 2027, 236779, 34436, 1083, 623, 236832, 236771, 236908, 653, 919, 529, 7021, 44112, 7824, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 1903, 236743, 236770, 236771, 3927, 2536, 573, 623, 232320, 22726, 6607, 17090, 4257, 14277, 14887, 30916, 165656, 4122, 1083, 108, 1018, 3503, 137944, 229414, 53121, 108, 236770, 236761, 5213, 23077, 23718, 1018, 138, 107, 139, 236772, 799, 236772, 3255, 49362, 21280, 699, 609, 236770, 236771, 236764, 236771, 236771, 236771, 236964, 236795, 236778, 236810, 236764, 236771, 236771, 236771, 2558, 1948, 2157, 138, 107, 139, 236772, 236743, 236832, 236786, 236770, 236771, 6607, 8357, 4867, 11278, 33000, 607, 1883, 19059, 529, 22726, 138, 107, 139, 236772, 11493, 8672, 27581, 568, 236744, 236761, 236759, 1126, 76880, 22202, 7430, 236768, 2729, 3718, 236772, 13769, 128647, 138, 108, 236778, 236761, 5213, 212441, 151366, 1018, 138, 107, 139, 236772, 236743, 236828, 236771, 236908, 2729, 9137, 236786, 197768, 9737, 74609, 138, 107, 139, 236772, 50154, 27857, 2487, 657, 11326, 1133, 4257, 3148, 568, 71087, 28873, 236768, 532, 106107, 3148, 236789, 236751, 47457, 236772, 1071, 236772, 5580, 236797, 1948, 138, 107, 139, 236772, 236743, 236812, 6607, 4928, 623, 25421, 6779, 105117, 236775, 607, 6530, 30916, 138, 108, 236800, 236761, 5213, 33338, 22189, 10624, 1854, 1018, 138, 107, 139, 236772, 31026, 165656, 74609, 528, 236743, 236819, 236786, 236770, 236771, 6607, 138, 107, 139, 236772, 153243, 3148, 532, 11669, 3148, 529, 4257, 14277, 568, 97615, 236780, 236768, 2729, 11554, 27942, 5499, 2404, 16710, 138, 107, 139, 236772, 236743, 236825, 6607, 1694, 16496, 49591, 573, 165656, 2065, 25521, 138, 108, 236812, 236761, 5213, 5475, 1192, 5135, 1018, 138, 107, 139, 236772, 2343, 236743, 236770, 236771, 6607, 57495, 684, 10914, 6136, 653, 11659, 1439, 138, 107, 139, 236772, 236743, 236810, 6607, 10916, 4928, 1883, 3905, 529, 22726, 85745, 573, 10231, 22726, 16710, 138, 108, 236810, 236761, 5213, 87958, 42879, 1018, 138, 107, 139, 236772, 18787, 33000, 607, 236787, 138, 107, 141, 236772, 153243, 42622, 568, 109180, 236768, 138, 107, 141, 236772, 174522, 5554, 568, 7427, 236768, 138, 107, 141, 236772, 7134, 7991, 5554, 1804, 568, 10032, 236768, 138, 107, 139, 236772, 236743, 236828, 236786, 236770, 236771, 6607, 2729, 13023, 9737, 24859, 3835, 138, 108, 236825, 236761, 5213, 15162, 37598, 1018, 138, 107, 139, 236772, 43899, 603, 19763, 236787, 236743, 236778, 236812, 236964, 236800, 236825, 3794, 138, 107, 139, 236772, 188429, 16710, 236787, 236743, 236770, 236828, 3794, 568, 236744, 236761, 236759, 1126, 77771, 3148, 236768, 138, 107, 139, 236772, 4040, 236772, 2289, 47457, 236772, 1071, 236772, 5580, 236797, 236787, 236743, 236778, 236771, 236964, 236778, 236828, 3794, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 112676, 2536, 531, 3530, 9979, 568, 236744, 236761, 236759, 1126, 26431, 236764, 18693, 236764, 114044, 20625, 138, 107, 236778, 236761, 44906, 3530, 6607, 6950, 528, 1239, 2536, 236881, 138, 107, 236800, 236761, 7179, 573, 4767, 18774, 1133, 23316, 32712, 1786, 6224, 653, 3195, 24859, 14906, 236881, 138, 108, 818, 3671, 563, 2721, 580, 496, 236743, 236832, 236771, 236519, 3364, 2027, 14272, 3418, 506, 1903, 236743, 236770, 236771, 3927, 2536, 236761, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 59638, 672, 3342, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 16011, 872, 531, 1769, 1041, 35308, 531, 13706, 2148, 1051, 236764, 840, 564, 236789, 236757, 496, 3103, 23894, 1003, 506, 8770, 3136, 236761, 28344, 611, 2426, 1144, 236743, 236770, 2590, 46754, 14339, 528, 100608, 1239, 2668, 236881, 564, 1461, 531, 1386, 2889, 1041, 2255, 10964, 25065, 54772, 2793, 3487, 1024, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38556, 1083, 236743, 236771, 236761, 236819, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1873, 8770, 3136, 563, 5213, 236770, 2590, 46754, 568, 38556, 236768, 578, 236743, 236771, 236761, 236819, 236800, 100608, 568, 79271, 62902, 236764, 618, 529, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 236743, 108, 10081, 8770, 6224, 130712, 236764, 625, 2473, 577, 21608, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 531, 5330, 822, 25065, 13526, 822, 6614, 528, 13706, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 16329, 600, 236888, 564, 974, 496, 13822, 25065, 529, 609, 236770, 236764, 236828, 236771, 236771, 23058, 236761, 28344, 611, 7352, 600, 2886, 1131, 100608, 1699, 3124, 236858, 236751, 3136, 236881, 564, 236858, 236753, 1133, 531, 3050, 1217, 1623, 564, 236858, 859, 735, 531, 981, 607, 573, 1023, 13706, 7946, 2148, 6247, 236761, 6542, 236764, 776, 611, 1751, 672, 3136, 563, 27661, 5483, 531, 4803, 3794, 236764, 653, 1374, 564, 4491, 12532, 531, 1023, 4301, 3433, 531, 8770, 919, 236881, 106, 107, 105, 4368, 107, 818, 16952, 2886, 529, 822, 609, 236770, 236764, 236828, 236771, 236771, 23058, 25065, 657, 3124, 236858, 236751, 3136, 167043, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236800, 35594, 119542, 1093, 577, 5213, 237762, 236770, 236764, 236825, 236832, 236812, 35594, 84750, 138, 108, 10354, 69998, 506, 3136, 236858, 236751, 4664, 2109, 236787, 138, 107, 236772, 564, 3914, 5467, 10769, 11858, 6224, 568, 1904, 3068, 1262, 2802, 779, 840, 8770, 6224, 130712, 6376, 2721, 580, 5527, 5872, 236761, 138, 107, 236772, 1637, 506, 16152, 187168, 3342, 2342, 506, 23058, 1680, 822, 7946, 568, 236744, 236761, 236759, 1126, 3136, 17221, 3426, 236743, 236771, 236761, 236819, 236771, 779, 87154, 3209, 1451, 6422, 18661, 100608, 236761, 57264, 236764, 768, 506, 16152, 92104, 568, 236744, 236761, 236759, 1126, 33358, 2787, 236743, 236771, 236761, 236819, 236810, 779, 9495, 2473, 7458, 611, 236761, 138, 108, 10354, 111506, 236787, 138, 107, 236772, 26295, 6224, 16789, 1699, 506, 2165, 9910, 236929, 5904, 568, 236777, 740, 2426, 12496, 36448, 769, 138, 107, 236772, 14066, 87154, 496, 1944, 9381, 1492, 531, 6623, 528, 3124, 236858, 236751, 3136, 532, 4491, 573, 3435, 15955, 573, 506, 6268, 2886, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2426, 506, 3136, 1570, 2148, 2069, 653, 3249, 90352, 11221, 573, 822, 13706, 7946, 236881, 103453, 106, 107, 105, 2364, 107, 236775, 6481, 236858, 236751, 2426, 506, 3136, 1570, 528, 496, 2069, 236764, 23348, 236761, 564, 236858, 859, 1686, 1041, 14626, 573, 5365, 236743, 236770, 236778, 594, 236761, 28344, 611, 5091, 7352, 609, 236778, 236764, 236771, 236771, 236771, 23058, 531, 100608, 580, 600, 3433, 236881, 564, 236858, 236753, 1133, 531, 10769, 625, 531, 3124, 236858, 236751, 14274, 531, 1460, 768, 993, 236858, 236751, 1010, 496, 2563, 19480, 236761, 7062, 236764, 532, 1651, 692, 236858, 500, 657, 625, 236764, 776, 611, 735, 1027, 11221, 573, 16074, 15130, 30217, 2180, 3978, 5745, 528, 784, 506, 4945, 236881, 3551, 11825, 5975, 4690, 54650, 684, 1070, 13283, 236764, 840, 564, 236858, 236757, 711, 2889, 1298, 531, 1502, 1781, 103453, 106, 107, 105, 4368, 107, 2021, 2426, 506, 3136, 580, 5213, 30651, 236743, 236770, 236778, 594, 125546, 5181, 2679, 786, 1570, 600, 1719, 236764, 532, 564, 236858, 859, 33205, 506, 5213, 4002, 8770, 3136, 1018, 573, 23058, 531, 35594, 568, 1437, 5904, 1186, 4728, 1759, 236772, 2289, 1262, 236764, 711, 11858, 6224, 769, 564, 236858, 859, 1299, 7352, 822, 609, 236778, 236764, 236771, 236771, 236771, 23058, 1699, 506, 3892, 3136, 657, 600, 990, 236761, 138, 108, 7243, 108, 10354, 5213, 60237, 573, 64608, 59547, 39614, 201916, 1018, 138, 107, 236770, 236761, 5213, 22575, 43442, 66515, 138, 107, 139, 236772, 5213, 144052, 236761, 854, 66515, 9617, 850, 607, 1759, 236772, 2289, 6224, 236764, 11858, 28494, 236764, 532, 496, 623, 21796, 35868, 236775, 4926, 531, 29596, 611, 529, 3328, 3136, 3731, 236761, 138, 107, 139, 236772, 5213, 19540, 19666, 66515, 9250, 623, 38556, 531, 35594, 236775, 528, 6475, 236764, 532, 625, 236858, 859, 1407, 496, 3892, 3136, 607, 496, 236743, 236770, 236772, 3704, 3753, 236761, 138, 107, 139, 236772, 5213, 236806, 82852, 66515, 80007, 496, 623, 51574, 79186, 236775, 25287, 573, 3823, 17507, 236761, 138, 108, 236778, 236761, 5213, 24101, 165731, 66515, 1637, 822, 4856, 5469, 7262, 8770, 3019, 236764, 2679, 1091, 531, 1076, 872, 51679, 573, 3136, 64470, 568, 236744, 236761, 236759, 1126, 623, 50772, 786, 768, 23058, 531, 35594, 16737, 236743, 236771, 236761, 236819, 236810, 4248, 138, 108, 236800, 236761, 5213, 97813, 18003, 64608, 66515, 8600, 496, 3606, 6475, 42060, 531, 2212, 6376, 236786, 65775, 6224, 24473, 236761, 7178, 990, 236764, 672, 7426, 5411, 15067, 236761, 138, 108, 236812, 236761, 5213, 6845, 607, 3060, 40502, 66515, 1637, 13283, 2597, 26787, 236764, 1164, 2679, 786, 531, 2426, 506, 1873, 3136, 1546, 2069, 237028, 236777, 236858, 859, 49573, 506, 7003, 528, 14529, 5192, 236888, 138, 108, 38786, 611, 1133, 786, 531, 8082, 1217, 531, 1076, 872, 496, 3136, 9690, 580, 204228, 653, 6475, 19666, 236881, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 16011, 872, 531, 1769, 1041, 35308, 531, 13706, 2148, 1051, 236764, 840, 564, 236789, 236757, 496, 3103, 23894, 1003, 506, 8770, 3136, 236761, 28344, 611, 2426, 1144, 236743, 236770, 2590, 46754, 14339, 528, 100608, 1239, 2668, 236881, 564, 1461, 531, 1386, 2889, 1041, 2255, 10964, 25065, 54772, 2793, 3487, 1024, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38556, 1083, 236743, 236771, 236761, 236819, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1873, 8770, 3136, 563, 5213, 236770, 2590, 46754, 568, 38556, 236768, 578, 236743, 236771, 236761, 236819, 236800, 100608, 568, 79271, 62902, 236764, 618, 529, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 236743, 108, 10081, 8770, 6224, 130712, 236764, 625, 2473, 577, 21608, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 531, 5330, 822, 25065, 13526, 822, 6614, 528, 13706, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 16329, 600, 236888, 564, 974, 496, 13822, 25065, 529, 609, 236770, 236764, 236828, 236771, 236771, 23058, 236761, 28344, 611, 7352, 600, 2886, 1131, 100608, 1699, 3124, 236858, 236751, 3136, 236881, 564, 236858, 236753, 1133, 531, 3050, 1217, 1623, 564, 236858, 859, 735, 531, 981, 607, 573, 1023, 13706, 7946, 2148, 6247, 236761, 6542, 236764, 776, 611, 1751, 672, 3136, 563, 27661, 5483, 531, 4803, 3794, 236764, 653, 1374, 564, 4491, 12532, 531, 1023, 4301, 3433, 531, 8770, 919, 236881, 106, 107, 105, 4368, 107, 818, 16952, 2886, 529, 822, 609, 236770, 236764, 236828, 236771, 236771, 23058, 25065, 657, 3124, 236858, 236751, 3136, 167043, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236800, 35594, 119542, 1093, 577, 5213, 237762, 236770, 236764, 236825, 236832, 236812, 35594, 84750, 138, 108, 10354, 69998, 506, 3136, 236858, 236751, 4664, 2109, 236787, 138, 107, 236772, 564, 3914, 5467, 10769, 11858, 6224, 568, 1904, 3068, 1262, 2802, 779, 840, 8770, 6224, 130712, 6376, 2721, 580, 5527, 5872, 236761, 138, 107, 236772, 1637, 506, 16152, 187168, 3342, 2342, 506, 23058, 1680, 822, 7946, 568, 236744, 236761, 236759, 1126, 3136, 17221, 3426, 236743, 236771, 236761, 236819, 236771, 779, 87154, 3209, 1451, 6422, 18661, 100608, 236761, 57264, 236764, 768, 506, 16152, 92104, 568, 236744, 236761, 236759, 1126, 33358, 2787, 236743, 236771, 236761, 236819, 236810, 779, 9495, 2473, 7458, 611, 236761, 138, 108, 10354, 111506, 236787, 138, 107, 236772, 26295, 6224, 16789, 1699, 506, 2165, 9910, 236929, 5904, 568, 236777, 740, 2426, 12496, 36448, 769, 138, 107, 236772, 14066, 87154, 496, 1944, 9381, 1492, 531, 6623, 528, 3124, 236858, 236751, 3136, 532, 4491, 573, 3435, 15955, 573, 506, 6268, 2886, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2426, 506, 3136, 1570, 2148, 2069, 653, 3249, 90352, 11221, 573, 822, 13706, 7946, 236881, 103453, 106, 107, 105, 2364, 107, 236775, 6481, 236858, 236751, 2426, 506, 3136, 1570, 528, 496, 2069, 236764, 23348, 236761, 564, 236858, 859, 1686, 1041, 14626, 573, 5365, 236743, 236770, 236778, 594, 236761, 28344, 611, 5091, 7352, 609, 236778, 236764, 236771, 236771, 236771, 23058, 531, 100608, 580, 600, 3433, 236881, 564, 236858, 236753, 1133, 531, 10769, 625, 531, 3124, 236858, 236751, 14274, 531, 1460, 768, 993, 236858, 236751, 1010, 496, 2563, 19480, 236761, 7062, 236764, 532, 1651, 692, 236858, 500, 657, 625, 236764, 776, 611, 735, 1027, 11221, 573, 16074, 15130, 30217, 2180, 3978, 5745, 528, 784, 506, 4945, 236881, 3551, 11825, 5975, 4690, 54650, 684, 1070, 13283, 236764, 840, 564, 236858, 236757, 711, 2889, 1298, 531, 1502, 1781, 103453, 106, 107, 105, 4368, 107, 2021, 2426, 506, 3136, 580, 5213, 30651, 236743, 236770, 236778, 594, 125546, 5181, 2679, 786, 1570, 600, 1719, 236764, 532, 564, 236858, 859, 33205, 506, 5213, 4002, 8770, 3136, 1018, 573, 23058, 531, 35594, 568, 1437, 5904, 1186, 4728, 1759, 236772, 2289, 1262, 236764, 711, 11858, 6224, 769, 564, 236858, 859, 1299, 7352, 822, 609, 236778, 236764, 236771, 236771, 236771, 23058, 1699, 506, 3892, 3136, 657, 600, 990, 236761, 138, 108, 7243, 108, 10354, 5213, 60237, 573, 64608, 59547, 39614, 201916, 1018, 138, 107, 236770, 236761, 5213, 22575, 43442, 66515, 138, 107, 139, 236772, 5213, 144052, 236761, 854, 66515, 9617, 850, 607, 1759, 236772, 2289, 6224, 236764, 11858, 28494, 236764, 532, 496, 623, 21796, 35868, 236775, 4926, 531, 29596, 611, 529, 3328, 3136, 3731, 236761, 138, 107, 139, 236772, 5213, 19540, 19666, 66515, 9250, 623, 38556, 531, 35594, 236775, 528, 6475, 236764, 532, 625, 236858, 859, 1407, 496, 3892, 3136, 607, 496, 236743, 236770, 236772, 3704, 3753, 236761, 138, 107, 139, 236772, 5213, 236806, 82852, 66515, 80007, 496, 623, 51574, 79186, 236775, 25287, 573, 3823, 17507, 236761, 138, 108, 236778, 236761, 5213, 24101, 165731, 66515, 1637, 822, 4856, 5469, 7262, 8770, 3019, 236764, 2679, 1091, 531, 1076, 872, 51679, 573, 3136, 64470, 568, 236744, 236761, 236759, 1126, 623, 50772, 786, 768, 23058, 531, 35594, 16737, 236743, 236771, 236761, 236819, 236810, 4248, 138, 108, 236800, 236761, 5213, 97813, 18003, 64608, 66515, 8600, 496, 3606, 6475, 42060, 531, 2212, 6376, 236786, 65775, 6224, 24473, 236761, 7178, 990, 236764, 672, 7426, 5411, 15067, 236761, 138, 108, 236812, 236761, 5213, 6845, 607, 3060, 40502, 66515, 1637, 13283, 2597, 26787, 236764, 1164, 2679, 786, 531, 2426, 506, 1873, 3136, 1546, 2069, 237028, 236777, 236858, 859, 49573, 506, 7003, 528, 14529, 5192, 236888, 138, 108, 38786, 611, 1133, 786, 531, 8082, 1217, 531, 1076, 872, 496, 3136, 9690, 580, 204228, 653, 6475, 19666, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 9378, 4469, 8948, 1003, 22753, 4085, 236789, 236751, 32286, 4083, 236764, 840, 506, 57418, 9413, 699, 506, 236743, 236770, 236819, 236778, 236771, 236751, 29996, 659, 496, 6232, 236761, 2085, 236789, 236751, 4940, 88078, 1133, 2165, 4329, 236929, 532, 2165, 10371, 236929, 784, 1024, 236764, 1070, 20973, 31954, 135453, 236764, 532, 1581, 496, 2321, 16167, 16616, 1133, 16181, 9726, 528, 236761, 564, 1461, 531, 3980, 625, 872, 1680, 16386, 506, 200392, 236761, 3199, 611, 1657, 672, 1816, 573, 786, 236881, 568, 91781, 840, 711, 137177, 236787, 506, 5396, 1816, 531, 3980, 236764, 837, 5132, 3530, 8698, 1133, 623, 119547, 4329, 44795, 10371, 54710, 236775, 532, 623, 98393, 30150, 236858, 236751, 99362, 83852, 1373, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98394, 236779, 1005, 1083, 623, 119547, 236888, 44795, 236881, 54710, 236785, 236749, 98393, 30150, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 7630, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 30734, 1816, 607, 47892, 53892, 236787, 108, 1018, 119547, 236888, 44795, 236881, 54710, 1018, 138, 107, 1018, 98393, 30150, 236858, 236751, 7630, 1018, 108, 10354, 12364, 6055, 236787, 107, 236770, 236761, 5213, 10987, 29403, 1018, 8476, 16167, 41209, 236758, 67234, 4820, 138, 107, 236778, 236761, 5213, 8724, 10548, 1018, 47892, 2803, 7579, 568, 25611, 31954, 135453, 532, 8476, 2165, 99362, 18833, 138, 107, 236800, 236761, 5213, 236791, 23733, 5942, 1018, 30611, 21191, 88078, 12933, 20442, 4329, 236929, 16130, 2165, 236888, 8347, 2165, 10371, 236929, 16130, 2165, 236881, 18833, 138, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 3530, 4688, 3342, 653, 6060, 4767, 1816, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 9378, 4469, 8948, 1003, 22753, 4085, 236789, 236751, 32286, 4083, 236764, 840, 506, 57418, 9413, 699, 506, 236743, 236770, 236819, 236778, 236771, 236751, 29996, 659, 496, 6232, 236761, 2085, 236789, 236751, 4940, 88078, 1133, 2165, 4329, 236929, 532, 2165, 10371, 236929, 784, 1024, 236764, 1070, 20973, 31954, 135453, 236764, 532, 1581, 496, 2321, 16167, 16616, 1133, 16181, 9726, 528, 236761, 564, 1461, 531, 3980, 625, 872, 1680, 16386, 506, 200392, 236761, 3199, 611, 1657, 672, 1816, 573, 786, 236881, 568, 91781, 840, 711, 137177, 236787, 506, 5396, 1816, 531, 3980, 236764, 837, 5132, 3530, 8698, 1133, 623, 119547, 4329, 44795, 10371, 54710, 236775, 532, 623, 98393, 30150, 236858, 236751, 99362, 83852, 1373, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98394, 236779, 1005, 1083, 623, 119547, 236888, 44795, 236881, 54710, 236785, 236749, 98393, 30150, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 7630, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 30734, 1816, 607, 47892, 53892, 236787, 108, 1018, 119547, 236888, 44795, 236881, 54710, 1018, 138, 107, 1018, 98393, 30150, 236858, 236751, 7630, 1018, 108, 10354, 12364, 6055, 236787, 107, 236770, 236761, 5213, 10987, 29403, 1018, 8476, 16167, 41209, 236758, 67234, 4820, 138, 107, 236778, 236761, 5213, 8724, 10548, 1018, 47892, 2803, 7579, 568, 25611, 31954, 135453, 532, 8476, 2165, 99362, 18833, 138, 107, 236800, 236761, 5213, 236791, 23733, 5942, 1018, 30611, 21191, 88078, 12933, 20442, 4329, 236929, 16130, 2165, 236888, 8347, 2165, 10371, 236929, 16130, 2165, 236881, 18833, 138, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 3530, 4688, 3342, 653, 6060, 4767, 1816, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 3013, 1499, 236764, 506, 49075, 15903, 1015, 28453, 531, 506, 3697, 12960, 236761, 564, 236789, 560, 1010, 67301, 529, 8115, 496, 2268, 34499, 129379, 33443, 528, 23141, 572, 236764, 840, 564, 236789, 236757, 17539, 580, 506, 1463, 532, 6831, 236761, 28344, 611, 1601, 786, 607, 1156, 2432, 236881, 5315, 236764, 1161, 600, 974, 236779, 7513, 236779, 73250, 236779, 5900, 5904, 607, 506, 30136, 623, 23243, 22424, 33443, 236775, 531, 974, 3493, 9578, 1463, 6549, 237028, 44784, 600, 11906, 6962, 532, 33599, 1133, 1041, 3645, 16656, 236761, 4298, 236764, 1769, 506, 808, 6005, 236829, 1463, 699, 600, 1694, 532, 1161, 506, 130398, 236779, 150673, 5904, 607, 506, 31831, 623, 14081, 662, 236775, 531, 1586, 496, 15028, 573, 496, 6672, 34499, 129379, 130398, 236761, 564, 236789, 236757, 6972, 529, 18482, 625, 580, 1041, 6831, 531, 16885, 18361, 529, 2033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5900, 1083, 11058, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 1162, 5718, 827, 623, 236773, 2848, 569, 34499, 827, 623, 4967, 38002, 569, 3013, 1499, 827, 623, 60929, 622, 236785, 236756, 236771, 236771, 88920, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 591, 97192, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 69018, 15748, 662, 139213, 19804, 607, 174827, 83407, 827, 623, 77095, 1083, 11058, 236778, 35923, 3732, 2279, 236764, 48661, 236743, 236770, 236786, 236778, 13866, 7497, 827, 623, 236770, 236786, 236778, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 72881, 9551, 827, 623, 236770, 236786, 236778, 72881, 2764, 22300, 827, 623, 236770, 236786, 236812, 72881, 142513, 827, 623, 236770, 236786, 236812, 8578, 25357, 4446, 827, 623, 236792, 29022, 16510, 236787, 236743, 236800, 107072, 26677, 17926, 236764, 236743, 236778, 29508, 104582, 236764, 236743, 236778, 107072, 26012, 4446, 236764, 236743, 236770, 72881, 140335, 14255, 623, 96654, 1083, 11058, 10423, 535, 3732, 2279, 532, 23892, 1131, 236743, 236770, 236786, 236778, 236772, 14490, 25509, 10498, 623, 67829, 18763, 236764, 9551, 236764, 22300, 236764, 532, 142513, 528, 496, 28855, 13415, 10498, 623, 236796, 1192, 787, 3732, 662, 32892, 528, 18763, 11711, 10498, 623, 57064, 4446, 528, 94534, 1024, 7860, 5387, 236761, 38355, 3732, 2279, 3097, 13935, 568, 236800, 236772, 236812, 4310, 810, 2678, 769, 827, 623, 178546, 580, 3627, 51487, 236761, 68988, 6842, 607, 174827, 16510, 573, 82181, 1781, 21111, 106, 107, 105, 4368, 107, 8291, 659, 3493, 9578, 1463, 6549, 573, 822, 34499, 129379, 33443, 236764, 13696, 684, 623, 23243, 22424, 33443, 236775, 531, 104184, 41945, 532, 3399, 236787, 108, 236770, 236761, 5213, 160319, 236859, 1162, 5718, 1018, 138, 107, 236778, 236761, 555, 2848, 569, 34499, 138, 107, 236800, 236761, 2774, 38002, 569, 3013, 1499, 138, 107, 236812, 236761, 44135, 622, 8815, 62367, 138, 107, 236810, 236761, 62367, 591, 97192, 138, 108, 236777, 236858, 560, 9949, 5213, 160319, 236859, 1162, 5718, 1018, 618, 822, 33443, 1463, 237028, 509, 236858, 236751, 7804, 236764, 33599, 236764, 532, 11906, 1133, 496, 17635, 5597, 528, 34499, 43008, 236888, 236743, 244746, 138, 108, 2542, 822, 6831, 236764, 1590, 236858, 236751, 496, 6672, 34499, 129379, 130398, 15028, 1699, 5213, 14081, 662, 1018, 568, 236746, 27867, 31831, 528, 822, 6540, 1473, 138, 108, 7243, 108, 10354, 236743, 252075, 5213, 69018, 15748, 662, 139213, 19804, 607, 174827, 83407, 1018, 138, 107, 236829, 54133, 573, 11211, 236764, 607, 496, 66799, 19396, 532, 21870, 9228, 236764, 7779, 607, 177219, 29508, 236772, 43597, 82181, 16510, 9603, 138, 108, 1018, 64690, 1018, 138, 107, 236772, 236743, 236778, 35923, 3732, 2279, 236764, 48661, 47041, 13866, 7497, 138, 107, 236772, 47041, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 236743, 236770, 72881, 9551, 138, 107, 236772, 47041, 72881, 2764, 22300, 138, 107, 236772, 81568, 72881, 142513, 138, 107, 236772, 81568, 8578, 25357, 4446, 138, 107, 236772, 808, 236792, 29022, 16510, 149681, 236743, 236800, 107072, 26677, 17926, 236764, 236743, 236778, 29508, 104582, 236764, 236743, 236778, 107072, 26012, 4446, 236764, 236743, 236770, 72881, 140335, 138, 108, 1018, 81851, 1018, 138, 107, 236770, 236761, 89383, 3732, 2279, 532, 23892, 1131, 47041, 236772, 14490, 25509, 236761, 138, 107, 236778, 236761, 29785, 18763, 236764, 9551, 236764, 22300, 236764, 532, 142513, 528, 496, 28855, 13415, 236761, 138, 107, 236800, 236761, 191194, 787, 3732, 662, 32892, 528, 506, 18763, 11711, 236761, 138, 107, 236812, 236761, 27213, 4446, 528, 496, 94534, 1024, 7860, 5387, 236761, 38355, 3732, 2279, 3097, 13935, 568, 236800, 236964, 236812, 4310, 810, 2678, 769, 138, 107, 236810, 236761, 71211, 580, 3627, 51487, 236761, 68988, 6842, 607, 174827, 16510, 573, 82181, 236761, 138, 108, 7243, 108, 2094, 15028, 795, 3437, 506, 34894, 529, 2033, 531, 822, 33443, 236764, 3013, 1499, 236761, 21764, 32283, 8595, 3537, 236764, 532, 5293, 21295, 236888, 210131, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 3013, 1499, 236764, 506, 49075, 15903, 1015, 28453, 531, 506, 3697, 12960, 236761, 564, 236789, 560, 1010, 67301, 529, 8115, 496, 2268, 34499, 129379, 33443, 528, 23141, 572, 236764, 840, 564, 236789, 236757, 17539, 580, 506, 1463, 532, 6831, 236761, 28344, 611, 1601, 786, 607, 1156, 2432, 236881, 5315, 236764, 1161, 600, 974, 236779, 7513, 236779, 73250, 236779, 5900, 5904, 607, 506, 30136, 623, 23243, 22424, 33443, 236775, 531, 974, 3493, 9578, 1463, 6549, 237028, 44784, 600, 11906, 6962, 532, 33599, 1133, 1041, 3645, 16656, 236761, 4298, 236764, 1769, 506, 808, 6005, 236829, 1463, 699, 600, 1694, 532, 1161, 506, 130398, 236779, 150673, 5904, 607, 506, 31831, 623, 14081, 662, 236775, 531, 1586, 496, 15028, 573, 496, 6672, 34499, 129379, 130398, 236761, 564, 236789, 236757, 6972, 529, 18482, 625, 580, 1041, 6831, 531, 16885, 18361, 529, 2033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5900, 1083, 11058, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 1162, 5718, 827, 623, 236773, 2848, 569, 34499, 827, 623, 4967, 38002, 569, 3013, 1499, 827, 623, 60929, 622, 236785, 236756, 236771, 236771, 88920, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 591, 97192, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 69018, 15748, 662, 139213, 19804, 607, 174827, 83407, 827, 623, 77095, 1083, 11058, 236778, 35923, 3732, 2279, 236764, 48661, 236743, 236770, 236786, 236778, 13866, 7497, 827, 623, 236770, 236786, 236778, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 72881, 9551, 827, 623, 236770, 236786, 236778, 72881, 2764, 22300, 827, 623, 236770, 236786, 236812, 72881, 142513, 827, 623, 236770, 236786, 236812, 8578, 25357, 4446, 827, 623, 236792, 29022, 16510, 236787, 236743, 236800, 107072, 26677, 17926, 236764, 236743, 236778, 29508, 104582, 236764, 236743, 236778, 107072, 26012, 4446, 236764, 236743, 236770, 72881, 140335, 14255, 623, 96654, 1083, 11058, 10423, 535, 3732, 2279, 532, 23892, 1131, 236743, 236770, 236786, 236778, 236772, 14490, 25509, 10498, 623, 67829, 18763, 236764, 9551, 236764, 22300, 236764, 532, 142513, 528, 496, 28855, 13415, 10498, 623, 236796, 1192, 787, 3732, 662, 32892, 528, 18763, 11711, 10498, 623, 57064, 4446, 528, 94534, 1024, 7860, 5387, 236761, 38355, 3732, 2279, 3097, 13935, 568, 236800, 236772, 236812, 4310, 810, 2678, 769, 827, 623, 178546, 580, 3627, 51487, 236761, 68988, 6842, 607, 174827, 16510, 573, 82181, 1781, 21111, 106, 107, 105, 4368, 107, 8291, 659, 3493, 9578, 1463, 6549, 573, 822, 34499, 129379, 33443, 236764, 13696, 684, 623, 23243, 22424, 33443, 236775, 531, 104184, 41945, 532, 3399, 236787, 108, 236770, 236761, 5213, 160319, 236859, 1162, 5718, 1018, 138, 107, 236778, 236761, 555, 2848, 569, 34499, 138, 107, 236800, 236761, 2774, 38002, 569, 3013, 1499, 138, 107, 236812, 236761, 44135, 622, 8815, 62367, 138, 107, 236810, 236761, 62367, 591, 97192, 138, 108, 236777, 236858, 560, 9949, 5213, 160319, 236859, 1162, 5718, 1018, 618, 822, 33443, 1463, 237028, 509, 236858, 236751, 7804, 236764, 33599, 236764, 532, 11906, 1133, 496, 17635, 5597, 528, 34499, 43008, 236888, 236743, 244746, 138, 108, 2542, 822, 6831, 236764, 1590, 236858, 236751, 496, 6672, 34499, 129379, 130398, 15028, 1699, 5213, 14081, 662, 1018, 568, 236746, 27867, 31831, 528, 822, 6540, 1473, 138, 108, 7243, 108, 10354, 236743, 252075, 5213, 69018, 15748, 662, 139213, 19804, 607, 174827, 83407, 1018, 138, 107, 236829, 54133, 573, 11211, 236764, 607, 496, 66799, 19396, 532, 21870, 9228, 236764, 7779, 607, 177219, 29508, 236772, 43597, 82181, 16510, 9603, 138, 108, 1018, 64690, 1018, 138, 107, 236772, 236743, 236778, 35923, 3732, 2279, 236764, 48661, 47041, 13866, 7497, 138, 107, 236772, 47041, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 236743, 236770, 72881, 9551, 138, 107, 236772, 47041, 72881, 2764, 22300, 138, 107, 236772, 81568, 72881, 142513, 138, 107, 236772, 81568, 8578, 25357, 4446, 138, 107, 236772, 808, 236792, 29022, 16510, 149681, 236743, 236800, 107072, 26677, 17926, 236764, 236743, 236778, 29508, 104582, 236764, 236743, 236778, 107072, 26012, 4446, 236764, 236743, 236770, 72881, 140335, 138, 108, 1018, 81851, 1018, 138, 107, 236770, 236761, 89383, 3732, 2279, 532, 23892, 1131, 47041, 236772, 14490, 25509, 236761, 138, 107, 236778, 236761, 29785, 18763, 236764, 9551, 236764, 22300, 236764, 532, 142513, 528, 496, 28855, 13415, 236761, 138, 107, 236800, 236761, 191194, 787, 3732, 662, 32892, 528, 506, 18763, 11711, 236761, 138, 107, 236812, 236761, 27213, 4446, 528, 496, 94534, 1024, 7860, 5387, 236761, 38355, 3732, 2279, 3097, 13935, 568, 236800, 236964, 236812, 4310, 810, 2678, 769, 138, 107, 236810, 236761, 71211, 580, 3627, 51487, 236761, 68988, 6842, 607, 174827, 16510, 573, 82181, 236761, 138, 108, 7243, 108, 2094, 15028, 795, 3437, 506, 34894, 529, 2033, 531, 822, 33443, 236764, 3013, 1499, 236761, 21764, 32283, 8595, 3537, 236764, 532, 5293, 21295, 236888, 210131, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 5346, 1070, 6554, 68558, 573, 496, 861, 2203, 236761, 3199, 611, 8729, 496, 4940, 5853, 573, 1546, 886, 236881, 33128, 600, 236789, 236751, 3735, 531, 4087, 840, 4709, 3487, 531, 5571, 6921, 236772, 11303, 236761, 2900, 236789, 236751, 506, 1791, 1595, 531, 6060, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 12539, 5853, 236787, 5213, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 1018, 108, 2094, 6518, 28619, 496, 24905, 568, 46285, 578, 35713, 47491, 236768, 607, 496, 4709, 142585, 3393, 531, 5330, 180874, 1651, 53022, 72691, 13682, 236761, 21284, 611, 1133, 786, 531, 8729, 4767, 62606, 573, 1032, 68558, 236881, 7714, 886, 795, 1500, 506, 1638, 31044, 113250, 573, 25725, 236761, 106, 107, 105, 2364, 107, 11947, 1502, 236761, 2088, 776, 611, 5840, 564, 4087, 1239, 62606, 3622, 901, 236789, 500, 13720, 236881, 564, 1202, 496, 1458, 600, 236789, 236751, 3606, 3487, 573, 1041, 13919, 531, 1500, 840, 13868, 3487, 531, 5001, 9825, 236761, 18975, 564, 1076, 872, 496, 45767, 607, 12539, 4889, 236764, 653, 563, 993, 496, 2480, 1996, 236881, 106, 107, 105, 4368, 107, 2542, 496, 7002, 529, 28291, 532, 21016, 236764, 1590, 236789, 236751, 496, 75885, 1458, 611, 740, 4144, 236787, 108, 10354, 5213, 236770, 236761, 17354, 64608, 10474, 236787, 230360, 568, 26834, 236772, 29235, 236764, 4819, 236772, 13299, 10228, 62902, 107, 236772, 5213, 35221, 53121, 8600, 11312, 573, 5213, 28925, 5853, 125546, 5213, 3682, 65371, 125546, 5213, 3484, 8739, 125546, 5213, 28235, 125546, 5213, 8410, 163056, 2282, 125546, 532, 5213, 6375, 842, 2926, 84750, 107, 236772, 5213, 31810, 53121, 6890, 20824, 653, 6475, 89639, 568, 6796, 236768, 573, 1759, 236772, 2289, 13859, 236761, 19148, 506, 10988, 607, 822, 13919, 532, 1076, 26439, 531, 5001, 53762, 76121, 236761, 107, 236772, 5213, 1489, 42272, 53121, 124258, 506, 1903, 2050, 568, 5653, 236768, 532, 1161, 1262, 18256, 573, 45112, 236751, 568, 236744, 236761, 236759, 1126, 623, 8410, 7343, 236775, 4321, 236768, 531, 6439, 9825, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 4140, 496, 42674, 529, 63640, 568, 43983, 62902, 107, 236772, 5213, 190320, 236786, 38943, 8739, 98154, 53121, 43550, 44426, 17253, 573, 1546, 12539, 5853, 568, 1930, 2196, 6436, 1133, 870, 38943, 8739, 47011, 5457, 2574, 1411, 2769, 236761, 48203, 6458, 236761, 854, 236786, 1223, 532, 1887, 1091, 618, 42703, 236761, 51495, 740, 13952, 17253, 607, 23319, 531, 6282, 236772, 88306, 1262, 528, 506, 45767, 236761, 107, 236772, 5213, 26637, 2009, 43645, 53121, 6890, 13283, 1133, 5213, 19540, 17608, 1018, 653, 5213, 18801, 2282, 3574, 1018, 531, 3205, 12539, 62606, 531, 9395, 568, 236744, 236761, 236759, 1126, 623, 10896, 40920, 236772, 236778, 236776, 236812, 236811, 236832, 573, 7879, 1684, 684, 7672, 4248, 108, 7243, 108, 10354, 5213, 236800, 236761, 27085, 16401, 522, 1804, 1018, 107, 236772, 5213, 106979, 98154, 53121, 58108, 1546, 12539, 5853, 607, 496, 13762, 5346, 568, 236744, 236761, 236759, 1126, 623, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 236787, 90765, 7086, 1109, 236743, 236810, 39813, 1109, 25795, 562, 236800, 4248, 6890, 496, 5346, 25310, 568, 5282, 622, 103859, 236768, 573, 39601, 236761, 107, 236772, 5213, 3484, 236772, 84930, 53121, 4140, 496, 1944, 16128, 13548, 653, 49373, 531, 506, 5346, 600, 12853, 506, 6554, 2258, 573, 7426, 28250, 236761, 108, 7243, 108, 10354, 5213, 236812, 236761, 32923, 2109, 568, 2859, 1599, 19704, 4643, 23718, 25243, 62902, 107, 236772, 5213, 22575, 23260, 53121, 25373, 1133, 5213, 236776, 2747, 742, 1018, 568, 6796, 30028, 236768, 1531, 611, 2619, 496, 141778, 7948, 607, 12809, 8735, 568, 236744, 236761, 236759, 1126, 12539, 62606, 6638, 531, 2203, 90353, 653, 5417, 1456, 769, 107, 236772, 5213, 21723, 71887, 53121, 13516, 5177, 8735, 528, 496, 6425, 11709, 568, 19540, 17713, 236764, 102662, 236768, 607, 107084, 1133, 2165, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 236779, 8410, 236917, 236779, 69572, 236761, 10888, 236929, 573, 3735, 51139, 236761, 108, 7243, 108, 1018, 11355, 1174, 20016, 53121, 138, 107, 236772, 5213, 9028, 20781, 53121, 66599, 57040, 1660, 11893, 4122, 236761, 138, 107, 236772, 5213, 3494, 39276, 53121, 44426, 17253, 532, 2258, 236772, 45669, 6439, 12040, 7234, 23153, 236761, 138, 107, 236772, 5213, 26172, 2109, 53121, 1599, 740, 19260, 531, 496, 7948, 3209, 2180, 1024, 2118, 12570, 506, 1458, 236761, 138, 108, 38786, 611, 1133, 1601, 20150, 44426, 17253, 653, 25470, 5346, 23693, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 506, 45767, 10884, 236761, 3199, 611, 8729, 236743, 236810, 919, 12539, 62606, 2269, 506, 1638, 6518, 236881, 564, 236789, 859, 1202, 1091, 13762, 618, 12972, 532, 12809, 531, 2203, 4889, 1133, 2258, 17253, 532, 17772, 236761, 9920, 564, 1460, 1217, 672, 17752, 236764, 692, 740, 2910, 1003, 44426, 17253, 573, 506, 2148, 4886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13679, 236779, 2643, 1083, 11058, 138699, 236772, 236832, 236828, 236819, 236771, 236770, 827, 623, 138699, 236772, 236800, 236812, 236810, 236825, 236832, 827, 623, 138699, 236772, 236828, 236819, 236771, 236770, 236778, 827, 623, 138699, 236772, 236812, 236810, 236825, 236832, 236828, 827, 623, 138699, 236772, 236778, 236800, 236812, 236810, 236825, 99471, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236810, 4767, 12539, 62606, 528, 506, 1638, 31044, 6518, 236787, 138, 107, 1018, 138699, 236772, 236832, 236828, 236819, 236771, 236770, 125546, 5213, 138699, 236772, 236800, 236812, 236810, 236825, 236832, 125546, 5213, 138699, 236772, 236828, 236819, 236771, 236770, 236778, 125546, 5213, 138699, 236772, 236812, 236810, 236825, 236832, 236828, 125546, 5213, 138699, 236772, 236778, 236800, 236812, 236810, 236825, 1018, 138, 108, 10354, 5213, 9272, 50228, 573, 5180, 230360, 1018, 138, 107, 236777, 236858, 859, 6518, 496, 3606, 7930, 573, 611, 236761, 4140, 1239, 11312, 531, 822, 10988, 236787, 138, 108, 236909, 5213, 28925, 5853, 1018, 139, 236909, 5213, 3484, 8739, 1018, 1109, 5213, 28235, 1018, 1109, 5213, 8410, 7343, 1018, 1109, 5213, 11374, 21617, 1018, 1109, 138, 107, 236909, 2819, 236909, 2819, 236909, 29118, 236909, 2819, 171168, 2819, 40328, 236909, 138, 107, 236909, 603, 27272, 236772, 236832, 236828, 236819, 236771, 236770, 140, 236909, 152, 236909, 150, 236909, 155, 236909, 159, 236909, 138, 107, 236909, 3729, 148, 236909, 3729, 148, 236909, 3729, 146, 236909, 3729, 151, 236909, 3729, 155, 236909, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 39525, 496, 110718, 45767, 7930, 236881, 138, 107, 236778, 236761, 19536, 1702, 5346, 23693, 568, 236744, 236761, 236759, 1126, 573, 94255, 12972, 653, 496, 622, 103859, 25310, 20625, 138, 107, 236800, 236761, 59336, 2258, 236772, 45669, 6366, 568, 236744, 236761, 236759, 1126, 623, 3218, 496, 2604, 13548, 573, 68558, 1456, 528, 11690, 5699, 1373, 236881, 138, 108, 14946, 611, 5727, 528, 506, 4889, 236764, 692, 740, 2827, 531, 44426, 17253, 573, 11442, 16074, 3209, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 5346, 1070, 6554, 68558, 573, 496, 861, 2203, 236761, 3199, 611, 8729, 496, 4940, 5853, 573, 1546, 886, 236881, 33128, 600, 236789, 236751, 3735, 531, 4087, 840, 4709, 3487, 531, 5571, 6921, 236772, 11303, 236761, 2900, 236789, 236751, 506, 1791, 1595, 531, 6060, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 12539, 5853, 236787, 5213, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 1018, 108, 2094, 6518, 28619, 496, 24905, 568, 46285, 578, 35713, 47491, 236768, 607, 496, 4709, 142585, 3393, 531, 5330, 180874, 1651, 53022, 72691, 13682, 236761, 21284, 611, 1133, 786, 531, 8729, 4767, 62606, 573, 1032, 68558, 236881, 7714, 886, 795, 1500, 506, 1638, 31044, 113250, 573, 25725, 236761, 106, 107, 105, 2364, 107, 11947, 1502, 236761, 2088, 776, 611, 5840, 564, 4087, 1239, 62606, 3622, 901, 236789, 500, 13720, 236881, 564, 1202, 496, 1458, 600, 236789, 236751, 3606, 3487, 573, 1041, 13919, 531, 1500, 840, 13868, 3487, 531, 5001, 9825, 236761, 18975, 564, 1076, 872, 496, 45767, 607, 12539, 4889, 236764, 653, 563, 993, 496, 2480, 1996, 236881, 106, 107, 105, 4368, 107, 2542, 496, 7002, 529, 28291, 532, 21016, 236764, 1590, 236789, 236751, 496, 75885, 1458, 611, 740, 4144, 236787, 108, 10354, 5213, 236770, 236761, 17354, 64608, 10474, 236787, 230360, 568, 26834, 236772, 29235, 236764, 4819, 236772, 13299, 10228, 62902, 107, 236772, 5213, 35221, 53121, 8600, 11312, 573, 5213, 28925, 5853, 125546, 5213, 3682, 65371, 125546, 5213, 3484, 8739, 125546, 5213, 28235, 125546, 5213, 8410, 163056, 2282, 125546, 532, 5213, 6375, 842, 2926, 84750, 107, 236772, 5213, 31810, 53121, 6890, 20824, 653, 6475, 89639, 568, 6796, 236768, 573, 1759, 236772, 2289, 13859, 236761, 19148, 506, 10988, 607, 822, 13919, 532, 1076, 26439, 531, 5001, 53762, 76121, 236761, 107, 236772, 5213, 1489, 42272, 53121, 124258, 506, 1903, 2050, 568, 5653, 236768, 532, 1161, 1262, 18256, 573, 45112, 236751, 568, 236744, 236761, 236759, 1126, 623, 8410, 7343, 236775, 4321, 236768, 531, 6439, 9825, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 4140, 496, 42674, 529, 63640, 568, 43983, 62902, 107, 236772, 5213, 190320, 236786, 38943, 8739, 98154, 53121, 43550, 44426, 17253, 573, 1546, 12539, 5853, 568, 1930, 2196, 6436, 1133, 870, 38943, 8739, 47011, 5457, 2574, 1411, 2769, 236761, 48203, 6458, 236761, 854, 236786, 1223, 532, 1887, 1091, 618, 42703, 236761, 51495, 740, 13952, 17253, 607, 23319, 531, 6282, 236772, 88306, 1262, 528, 506, 45767, 236761, 107, 236772, 5213, 26637, 2009, 43645, 53121, 6890, 13283, 1133, 5213, 19540, 17608, 1018, 653, 5213, 18801, 2282, 3574, 1018, 531, 3205, 12539, 62606, 531, 9395, 568, 236744, 236761, 236759, 1126, 623, 10896, 40920, 236772, 236778, 236776, 236812, 236811, 236832, 573, 7879, 1684, 684, 7672, 4248, 108, 7243, 108, 10354, 5213, 236800, 236761, 27085, 16401, 522, 1804, 1018, 107, 236772, 5213, 106979, 98154, 53121, 58108, 1546, 12539, 5853, 607, 496, 13762, 5346, 568, 236744, 236761, 236759, 1126, 623, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 236787, 90765, 7086, 1109, 236743, 236810, 39813, 1109, 25795, 562, 236800, 4248, 6890, 496, 5346, 25310, 568, 5282, 622, 103859, 236768, 573, 39601, 236761, 107, 236772, 5213, 3484, 236772, 84930, 53121, 4140, 496, 1944, 16128, 13548, 653, 49373, 531, 506, 5346, 600, 12853, 506, 6554, 2258, 573, 7426, 28250, 236761, 108, 7243, 108, 10354, 5213, 236812, 236761, 32923, 2109, 568, 2859, 1599, 19704, 4643, 23718, 25243, 62902, 107, 236772, 5213, 22575, 23260, 53121, 25373, 1133, 5213, 236776, 2747, 742, 1018, 568, 6796, 30028, 236768, 1531, 611, 2619, 496, 141778, 7948, 607, 12809, 8735, 568, 236744, 236761, 236759, 1126, 12539, 62606, 6638, 531, 2203, 90353, 653, 5417, 1456, 769, 107, 236772, 5213, 21723, 71887, 53121, 13516, 5177, 8735, 528, 496, 6425, 11709, 568, 19540, 17713, 236764, 102662, 236768, 607, 107084, 1133, 2165, 46285, 236772, 236778, 236776, 236812, 236811, 236832, 236779, 8410, 236917, 236779, 69572, 236761, 10888, 236929, 573, 3735, 51139, 236761, 108, 7243, 108, 1018, 11355, 1174, 20016, 53121, 138, 107, 236772, 5213, 9028, 20781, 53121, 66599, 57040, 1660, 11893, 4122, 236761, 138, 107, 236772, 5213, 3494, 39276, 53121, 44426, 17253, 532, 2258, 236772, 45669, 6439, 12040, 7234, 23153, 236761, 138, 107, 236772, 5213, 26172, 2109, 53121, 1599, 740, 19260, 531, 496, 7948, 3209, 2180, 1024, 2118, 12570, 506, 1458, 236761, 138, 108, 38786, 611, 1133, 1601, 20150, 44426, 17253, 653, 25470, 5346, 23693, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 506, 45767, 10884, 236761, 3199, 611, 8729, 236743, 236810, 919, 12539, 62606, 2269, 506, 1638, 6518, 236881, 564, 236789, 859, 1202, 1091, 13762, 618, 12972, 532, 12809, 531, 2203, 4889, 1133, 2258, 17253, 532, 17772, 236761, 9920, 564, 1460, 1217, 672, 17752, 236764, 692, 740, 2910, 1003, 44426, 17253, 573, 506, 2148, 4886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13679, 236779, 2643, 1083, 11058, 138699, 236772, 236832, 236828, 236819, 236771, 236770, 827, 623, 138699, 236772, 236800, 236812, 236810, 236825, 236832, 827, 623, 138699, 236772, 236828, 236819, 236771, 236770, 236778, 827, 623, 138699, 236772, 236812, 236810, 236825, 236832, 236828, 827, 623, 138699, 236772, 236778, 236800, 236812, 236810, 236825, 99471, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236810, 4767, 12539, 62606, 528, 506, 1638, 31044, 6518, 236787, 138, 107, 1018, 138699, 236772, 236832, 236828, 236819, 236771, 236770, 125546, 5213, 138699, 236772, 236800, 236812, 236810, 236825, 236832, 125546, 5213, 138699, 236772, 236828, 236819, 236771, 236770, 236778, 125546, 5213, 138699, 236772, 236812, 236810, 236825, 236832, 236828, 125546, 5213, 138699, 236772, 236778, 236800, 236812, 236810, 236825, 1018, 138, 108, 10354, 5213, 9272, 50228, 573, 5180, 230360, 1018, 138, 107, 236777, 236858, 859, 6518, 496, 3606, 7930, 573, 611, 236761, 4140, 1239, 11312, 531, 822, 10988, 236787, 138, 108, 236909, 5213, 28925, 5853, 1018, 139, 236909, 5213, 3484, 8739, 1018, 1109, 5213, 28235, 1018, 1109, 5213, 8410, 7343, 1018, 1109, 5213, 11374, 21617, 1018, 1109, 138, 107, 236909, 2819, 236909, 2819, 236909, 29118, 236909, 2819, 171168, 2819, 40328, 236909, 138, 107, 236909, 603, 27272, 236772, 236832, 236828, 236819, 236771, 236770, 140, 236909, 152, 236909, 150, 236909, 155, 236909, 159, 236909, 138, 107, 236909, 3729, 148, 236909, 3729, 148, 236909, 3729, 146, 236909, 3729, 151, 236909, 3729, 155, 236909, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 39525, 496, 110718, 45767, 7930, 236881, 138, 107, 236778, 236761, 19536, 1702, 5346, 23693, 568, 236744, 236761, 236759, 1126, 573, 94255, 12972, 653, 496, 622, 103859, 25310, 20625, 138, 107, 236800, 236761, 59336, 2258, 236772, 45669, 6366, 568, 236744, 236761, 236759, 1126, 623, 3218, 496, 2604, 13548, 573, 68558, 1456, 528, 11690, 5699, 1373, 236881, 138, 108, 14946, 611, 5727, 528, 506, 4889, 236764, 692, 740, 2827, 531, 44426, 17253, 573, 11442, 16074, 3209, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 22424, 236764, 506, 71644, 657, 842, 236761, 8712, 236789, 236751, 528, 23865, 236761, 564, 236789, 236757, 6995, 614, 11690, 1610, 19520, 528, 506, 3399, 7972, 2148, 2297, 532, 1202, 531, 3050, 506, 10022, 15241, 573, 23865, 236764, 27608, 531, 5330, 692, 236789, 500, 7759, 573, 7606, 9935, 236761, 28344, 611, 1171, 2121, 496, 6475, 3927, 531, 1586, 506, 18997, 40899, 532, 50550, 15375, 573, 23865, 236764, 9539, 236764, 532, 1299, 1161, 1724, 15375, 531, 33205, 506, 40018, 22584, 10022, 15241, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 623, 236778, 236832, 236761, 236825, 236810, 236771, 236812, 827, 623, 41713, 1083, 9296, 236819, 236828, 236761, 236812, 236828, 236800, 236828, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 236780, 5742, 827, 623, 7777, 1083, 623, 40267, 547, 149680, 827, 623, 37673, 1083, 236743, 236778, 236832, 236761, 236825, 236810, 236771, 236812, 236764, 623, 41713, 1083, 753, 236819, 236828, 236761, 236812, 236828, 236800, 236828, 236783, 106, 107, 105, 4368, 107, 818, 40018, 22584, 10022, 15241, 573, 23865, 236764, 9539, 568, 3091, 15375, 236743, 236778, 236832, 236761, 236825, 236810, 236771, 236812, 237366, 646, 236764, 236743, 236819, 236828, 236761, 236812, 236828, 236800, 236828, 237366, 649, 236768, 563, 5213, 236780, 5742, 125546, 837, 17671, 531, 496, 5213, 40267, 547, 5375, 98962, 1018, 10022, 236761, 1174, 15241, 11387, 3425, 236764, 52472, 85271, 607, 17597, 37494, 532, 18790, 91399, 236761, 1701, 822, 11690, 1610, 19520, 236764, 611, 740, 2414, 10944, 5312, 3439, 568, 11480, 11139, 532, 31992, 236768, 532, 1374, 2731, 573, 3435, 6927, 52098, 1913, 506, 46649, 3794, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 7606, 236772, 10619, 4889, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 22424, 236764, 506, 71644, 657, 842, 236761, 8712, 236789, 236751, 528, 23865, 236761, 564, 236789, 236757, 6995, 614, 11690, 1610, 19520, 528, 506, 3399, 7972, 2148, 2297, 532, 1202, 531, 3050, 506, 10022, 15241, 573, 23865, 236764, 27608, 531, 5330, 692, 236789, 500, 7759, 573, 7606, 9935, 236761, 28344, 611, 1171, 2121, 496, 6475, 3927, 531, 1586, 506, 18997, 40899, 532, 50550, 15375, 573, 23865, 236764, 9539, 236764, 532, 1299, 1161, 1724, 15375, 531, 33205, 506, 40018, 22584, 10022, 15241, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 623, 236778, 236832, 236761, 236825, 236810, 236771, 236812, 827, 623, 41713, 1083, 9296, 236819, 236828, 236761, 236812, 236828, 236800, 236828, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 236780, 5742, 827, 623, 7777, 1083, 623, 40267, 547, 149680, 827, 623, 37673, 1083, 236743, 236778, 236832, 236761, 236825, 236810, 236771, 236812, 236764, 623, 41713, 1083, 753, 236819, 236828, 236761, 236812, 236828, 236800, 236828, 236783, 106, 107, 105, 4368, 107, 818, 40018, 22584, 10022, 15241, 573, 23865, 236764, 9539, 568, 3091, 15375, 236743, 236778, 236832, 236761, 236825, 236810, 236771, 236812, 237366, 646, 236764, 236743, 236819, 236828, 236761, 236812, 236828, 236800, 236828, 237366, 649, 236768, 563, 5213, 236780, 5742, 125546, 837, 17671, 531, 496, 5213, 40267, 547, 5375, 98962, 1018, 10022, 236761, 1174, 15241, 11387, 3425, 236764, 52472, 85271, 607, 17597, 37494, 532, 18790, 91399, 236761, 1701, 822, 11690, 1610, 19520, 236764, 611, 740, 2414, 10944, 5312, 3439, 568, 11480, 11139, 532, 31992, 236768, 532, 1374, 2731, 573, 3435, 6927, 52098, 1913, 506, 46649, 3794, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 7606, 236772, 10619, 4889, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 16807, 1070, 5602, 24157, 573, 1023, 861, 32192, 1948, 236761, 3199, 611, 2426, 768, 756, 7617, 2618, 236761, 854, 236789, 563, 496, 51415, 4553, 8610, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2763, 49090, 236779, 133624, 1083, 11058, 7617, 2618, 236761, 854, 827, 623, 236770, 236771, 1387, 550, 6774, 236761, 854, 827, 623, 2618, 74409, 236761, 854, 827, 623, 5025, 1193, 644, 546, 917, 236761, 854, 14255, 623, 9181, 236779, 2763, 49090, 236779, 133624, 1083, 11058, 18112, 236761, 854, 827, 623, 57082, 236761, 854, 827, 623, 99887, 236761, 854, 827, 623, 187301, 236761, 854, 827, 623, 149297, 236761, 854, 99471, 106, 107, 105, 4368, 107, 10784, 236764, 756, 7617, 2618, 236761, 854, 236789, 563, 9456, 618, 496, 51415, 4553, 8610, 3894, 531, 506, 10658, 18256, 2509, 236761, 199509, 4553, 26104, 659, 11082, 15404, 532, 711, 9273, 573, 32192, 6607, 1298, 1440, 236772, 6061, 5602, 15154, 563, 3149, 236761, 1191, 5840, 43943, 1288, 26104, 531, 5330, 4341, 532, 13451, 5602, 4553, 19246, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 756, 2618, 74409, 236761, 854, 236789, 563, 496, 51415, 4553, 8610, 236881, 106, 107, 105, 4368, 107, 10784, 236764, 756, 2618, 74409, 236761, 854, 236789, 563, 9456, 618, 496, 51415, 4553, 8610, 3894, 531, 506, 10658, 18256, 2509, 236761, 9929, 1032, 15404, 4553, 15063, 236764, 625, 563, 711, 9273, 573, 32192, 6607, 1298, 13160, 236764, 13451, 5602, 7283, 563, 3149, 236761, 1191, 5840, 43943, 1288, 26104, 531, 4883, 1262, 17661, 528, 822, 5602, 7948, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 756, 5025, 1193, 644, 546, 917, 236761, 854, 236789, 563, 496, 51415, 4553, 8610, 236881, 106, 107, 105, 4368, 107, 10784, 236764, 756, 5025, 1193, 644, 546, 917, 236761, 854, 236789, 563, 9456, 618, 496, 51415, 4553, 8610, 3894, 531, 506, 10658, 18256, 2509, 236761, 199509, 4553, 26104, 659, 11082, 15404, 532, 711, 9273, 573, 32192, 6607, 1298, 1440, 236772, 6061, 5602, 15154, 563, 3149, 236761, 1191, 5840, 43943, 1288, 26104, 531, 5330, 4341, 532, 13451, 5602, 4553, 19246, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 16807, 1070, 5602, 24157, 573, 1023, 861, 32192, 1948, 236761, 3199, 611, 2426, 768, 756, 7617, 2618, 236761, 854, 236789, 563, 496, 51415, 4553, 8610, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2763, 49090, 236779, 133624, 1083, 11058, 7617, 2618, 236761, 854, 827, 623, 236770, 236771, 1387, 550, 6774, 236761, 854, 827, 623, 2618, 74409, 236761, 854, 827, 623, 5025, 1193, 644, 546, 917, 236761, 854, 14255, 623, 9181, 236779, 2763, 49090, 236779, 133624, 1083, 11058, 18112, 236761, 854, 827, 623, 57082, 236761, 854, 827, 623, 99887, 236761, 854, 827, 623, 187301, 236761, 854, 827, 623, 149297, 236761, 854, 99471, 106, 107, 105, 4368, 107, 10784, 236764, 756, 7617, 2618, 236761, 854, 236789, 563, 9456, 618, 496, 51415, 4553, 8610, 3894, 531, 506, 10658, 18256, 2509, 236761, 199509, 4553, 26104, 659, 11082, 15404, 532, 711, 9273, 573, 32192, 6607, 1298, 1440, 236772, 6061, 5602, 15154, 563, 3149, 236761, 1191, 5840, 43943, 1288, 26104, 531, 5330, 4341, 532, 13451, 5602, 4553, 19246, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 756, 2618, 74409, 236761, 854, 236789, 563, 496, 51415, 4553, 8610, 236881, 106, 107, 105, 4368, 107, 10784, 236764, 756, 2618, 74409, 236761, 854, 236789, 563, 9456, 618, 496, 51415, 4553, 8610, 3894, 531, 506, 10658, 18256, 2509, 236761, 9929, 1032, 15404, 4553, 15063, 236764, 625, 563, 711, 9273, 573, 32192, 6607, 1298, 13160, 236764, 13451, 5602, 7283, 563, 3149, 236761, 1191, 5840, 43943, 1288, 26104, 531, 4883, 1262, 17661, 528, 822, 5602, 7948, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 756, 5025, 1193, 644, 546, 917, 236761, 854, 236789, 563, 496, 51415, 4553, 8610, 236881, 106, 107, 105, 4368, 107, 10784, 236764, 756, 5025, 1193, 644, 546, 917, 236761, 854, 236789, 563, 9456, 618, 496, 51415, 4553, 8610, 3894, 531, 506, 10658, 18256, 2509, 236761, 199509, 4553, 26104, 659, 11082, 15404, 532, 711, 9273, 573, 32192, 6607, 1298, 1440, 236772, 6061, 5602, 15154, 563, 3149, 236761, 1191, 5840, 43943, 1288, 26104, 531, 5330, 4341, 532, 13451, 5602, 4553, 19246, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 496, 57418, 2471, 529, 496, 94788, 5602, 9697, 1183, 699, 981, 600, 564, 1202, 531, 7352, 1131, 5177, 1816, 236761, 28344, 611, 2121, 160015, 580, 672, 2471, 531, 8430, 506, 3004, 573, 786, 236881, 564, 236789, 859, 13612, 506, 2471, 1492, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8430, 506, 1816, 699, 506, 57418, 1183, 236761, 9920, 611, 236789, 560, 39788, 506, 2471, 2129, 236764, 5091, 2847, 506, 2129, 2479, 653, 10739, 531, 506, 2471, 236764, 532, 564, 236789, 859, 2121, 506, 160015, 3671, 1699, 506, 1594, 1292, 236761, 669, 3678, 5192, 563, 5422, 236764, 840, 1531, 786, 1281, 768, 611, 1202, 496, 1607, 5192, 9155, 236761, 106, 107, 105, 2364, 107, 818, 2471, 2129, 563, 5628, 657, 2165, 236780, 23932, 13465, 236786, 40669, 236786, 41250, 236786, 25016, 236779, 46569, 236779, 1166, 743, 236786, 46569, 236779, 845, 236779, 4240, 25217, 236761, 4034, 21233, 7323, 1161, 506, 1594, 1292, 531, 8430, 506, 1816, 236761, 669, 97675, 563, 528, 5422, 236764, 840, 993, 236858, 236751, 496, 5433, 528, 14361, 657, 506, 5944, 5416, 237028, 60766, 20193, 600, 506, 160015, 1374, 6060, 1800, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 19952, 51474, 5959, 236785, 236749, 236785, 236749, 33062, 20369, 236787, 37843, 236785, 236749, 236785, 236749, 24967, 236787, 669, 2509, 691, 11172, 532, 4698, 964, 1401, 103351, 236761, 669, 1186, 9875, 4186, 691, 506, 4491, 990, 573, 33398, 6810, 236749, 236785, 236749, 10282, 236787, 10798, 4664, 236764, 16052, 759, 636, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 17896, 236761, 2774, 140621, 15341, 64365, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 1009, 236785, 236756, 236771, 236771, 236744, 236770, 696, 759, 7191, 175044, 1162, 98410, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 23583, 1816, 699, 822, 94788, 9697, 1183, 236787, 108, 1018, 19952, 51474, 5959, 1018, 107, 236772, 5213, 33062, 20369, 53121, 37843, 107, 236772, 5213, 24967, 53121, 669, 2509, 691, 11172, 532, 4698, 964, 1401, 103351, 236761, 669, 1186, 9875, 4186, 691, 506, 4491, 990, 573, 33398, 236761, 107, 236772, 5213, 10282, 568, 495, 14361, 1473, 1018, 623, 19254, 4664, 236764, 16052, 759, 78966, 17896, 236761, 2774, 140621, 15341, 64365, 2103, 6227, 696, 759, 7191, 175044, 1162, 98410, 1781, 108, 818, 14361, 5433, 55544, 531, 236787, 623, 9366, 16052, 506, 3527, 3336, 236761, 669, 1759, 9697, 563, 580, 506, 1063, 529, 506, 1183, 1781, 236743, 108, 38786, 611, 1133, 786, 531, 18840, 506, 14416, 2678, 529, 506, 1183, 618, 1388, 236881, 106, 107, 105, 2364, 107, 818, 14416, 2678, 529, 506, 1183, 563, 10683, 657, 2165, 236780, 23932, 13465, 236786, 40669, 236786, 41250, 236786, 25016, 236779, 46569, 236779, 1166, 743, 236786, 46569, 236779, 845, 236779, 4240, 25217, 236779, 1942, 236761, 4034, 21233, 7323, 18840, 600, 2678, 618, 1388, 236764, 19541, 580, 1027, 94788, 1816, 236761, 669, 5602, 6950, 506, 623, 9238, 9697, 236775, 563, 993, 236764, 834, 56856, 10634, 573, 1800, 5422, 532, 14361, 10458, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 1479, 32044, 1162, 98410, 12289, 236749, 236785, 236749, 8455, 20235, 9697, 236787, 3060, 135285, 862, 22412, 236764, 8195, 759, 47028, 9759, 186225, 236761, 21284, 4006, 16593, 236761, 2640, 533, 3644, 236764, 22424, 593, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 123362, 236749, 236785, 236749, 236811, 49269, 20231, 236755, 58103, 236787, 7339, 236863, 236761, 236791, 236761, 236743, 236778, 236800, 236786, 236771, 236810, 236786, 236778, 236771, 236778, 236810, 123362, 236749, 236785, 236749, 88712, 56562, 236787, 7339, 236785, 236756, 236778, 236778, 236770, 236746, 220516, 2862, 569, 1092, 4423, 6601, 696, 43789, 236785, 236756, 236771, 236771, 236744, 236819, 236749, 19627, 8455, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 23583, 1816, 699, 506, 14416, 2678, 529, 506, 1183, 236787, 108, 1018, 1479, 32044, 1162, 98410, 53121, 107, 236772, 5213, 20235, 9697, 53121, 623, 5191, 135285, 862, 22412, 236764, 8195, 759, 47028, 9759, 186225, 236761, 21284, 4006, 16593, 236761, 2640, 533, 3644, 236764, 22424, 66044, 236775, 107, 236772, 5213, 4974, 25217, 14187, 53121, 623, 236863, 236761, 236791, 236761, 236743, 236778, 236800, 236786, 236771, 236810, 236786, 236778, 236771, 236778, 236810, 236775, 107, 236772, 5213, 27779, 5433, 53121, 623, 239176, 220516, 2862, 569, 1092, 4423, 6601, 696, 43789, 3383, 19627, 236775, 108, 1018, 67830, 529, 14361, 3004, 53121, 107, 236772, 623, 20235, 9697, 236775, 5433, 236787, 623, 236777, 2765, 506, 1698, 236764, 840, 8341, 691, 5111, 236761, 21284, 4006, 16593, 236761, 223120, 236764, 22424, 66044, 236775, 107, 236772, 5213, 27779, 5433, 53121, 623, 239176, 7179, 16593, 2862, 528, 19627, 31882, 236775, 108, 2094, 7412, 531, 3014, 506, 1689, 9697, 506, 5602, 5048, 531, 17730, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3671, 3342, 653, 6518, 672, 1938, 1131, 496, 31044, 5177, 2072, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 496, 57418, 2471, 529, 496, 94788, 5602, 9697, 1183, 699, 981, 600, 564, 1202, 531, 7352, 1131, 5177, 1816, 236761, 28344, 611, 2121, 160015, 580, 672, 2471, 531, 8430, 506, 3004, 573, 786, 236881, 564, 236789, 859, 13612, 506, 2471, 1492, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8430, 506, 1816, 699, 506, 57418, 1183, 236761, 9920, 611, 236789, 560, 39788, 506, 2471, 2129, 236764, 5091, 2847, 506, 2129, 2479, 653, 10739, 531, 506, 2471, 236764, 532, 564, 236789, 859, 2121, 506, 160015, 3671, 1699, 506, 1594, 1292, 236761, 669, 3678, 5192, 563, 5422, 236764, 840, 1531, 786, 1281, 768, 611, 1202, 496, 1607, 5192, 9155, 236761, 106, 107, 105, 2364, 107, 818, 2471, 2129, 563, 5628, 657, 2165, 236780, 23932, 13465, 236786, 40669, 236786, 41250, 236786, 25016, 236779, 46569, 236779, 1166, 743, 236786, 46569, 236779, 845, 236779, 4240, 25217, 236761, 4034, 21233, 7323, 1161, 506, 1594, 1292, 531, 8430, 506, 1816, 236761, 669, 97675, 563, 528, 5422, 236764, 840, 993, 236858, 236751, 496, 5433, 528, 14361, 657, 506, 5944, 5416, 237028, 60766, 20193, 600, 506, 160015, 1374, 6060, 1800, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 19952, 51474, 5959, 236785, 236749, 236785, 236749, 33062, 20369, 236787, 37843, 236785, 236749, 236785, 236749, 24967, 236787, 669, 2509, 691, 11172, 532, 4698, 964, 1401, 103351, 236761, 669, 1186, 9875, 4186, 691, 506, 4491, 990, 573, 33398, 6810, 236749, 236785, 236749, 10282, 236787, 10798, 4664, 236764, 16052, 759, 636, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 17896, 236761, 2774, 140621, 15341, 64365, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 1009, 236785, 236756, 236771, 236771, 236744, 236770, 696, 759, 7191, 175044, 1162, 98410, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 23583, 1816, 699, 822, 94788, 9697, 1183, 236787, 108, 1018, 19952, 51474, 5959, 1018, 107, 236772, 5213, 33062, 20369, 53121, 37843, 107, 236772, 5213, 24967, 53121, 669, 2509, 691, 11172, 532, 4698, 964, 1401, 103351, 236761, 669, 1186, 9875, 4186, 691, 506, 4491, 990, 573, 33398, 236761, 107, 236772, 5213, 10282, 568, 495, 14361, 1473, 1018, 623, 19254, 4664, 236764, 16052, 759, 78966, 17896, 236761, 2774, 140621, 15341, 64365, 2103, 6227, 696, 759, 7191, 175044, 1162, 98410, 1781, 108, 818, 14361, 5433, 55544, 531, 236787, 623, 9366, 16052, 506, 3527, 3336, 236761, 669, 1759, 9697, 563, 580, 506, 1063, 529, 506, 1183, 1781, 236743, 108, 38786, 611, 1133, 786, 531, 18840, 506, 14416, 2678, 529, 506, 1183, 618, 1388, 236881, 106, 107, 105, 2364, 107, 818, 14416, 2678, 529, 506, 1183, 563, 10683, 657, 2165, 236780, 23932, 13465, 236786, 40669, 236786, 41250, 236786, 25016, 236779, 46569, 236779, 1166, 743, 236786, 46569, 236779, 845, 236779, 4240, 25217, 236779, 1942, 236761, 4034, 21233, 7323, 18840, 600, 2678, 618, 1388, 236764, 19541, 580, 1027, 94788, 1816, 236761, 669, 5602, 6950, 506, 623, 9238, 9697, 236775, 563, 993, 236764, 834, 56856, 10634, 573, 1800, 5422, 532, 14361, 10458, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 1479, 32044, 1162, 98410, 12289, 236749, 236785, 236749, 8455, 20235, 9697, 236787, 3060, 135285, 862, 22412, 236764, 8195, 759, 47028, 9759, 186225, 236761, 21284, 4006, 16593, 236761, 2640, 533, 3644, 236764, 22424, 593, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 123362, 236749, 236785, 236749, 236811, 49269, 20231, 236755, 58103, 236787, 7339, 236863, 236761, 236791, 236761, 236743, 236778, 236800, 236786, 236771, 236810, 236786, 236778, 236771, 236778, 236810, 123362, 236749, 236785, 236749, 88712, 56562, 236787, 7339, 236785, 236756, 236778, 236778, 236770, 236746, 220516, 2862, 569, 1092, 4423, 6601, 696, 43789, 236785, 236756, 236771, 236771, 236744, 236819, 236749, 19627, 8455, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 23583, 1816, 699, 506, 14416, 2678, 529, 506, 1183, 236787, 108, 1018, 1479, 32044, 1162, 98410, 53121, 107, 236772, 5213, 20235, 9697, 53121, 623, 5191, 135285, 862, 22412, 236764, 8195, 759, 47028, 9759, 186225, 236761, 21284, 4006, 16593, 236761, 2640, 533, 3644, 236764, 22424, 66044, 236775, 107, 236772, 5213, 4974, 25217, 14187, 53121, 623, 236863, 236761, 236791, 236761, 236743, 236778, 236800, 236786, 236771, 236810, 236786, 236778, 236771, 236778, 236810, 236775, 107, 236772, 5213, 27779, 5433, 53121, 623, 239176, 220516, 2862, 569, 1092, 4423, 6601, 696, 43789, 3383, 19627, 236775, 108, 1018, 67830, 529, 14361, 3004, 53121, 107, 236772, 623, 20235, 9697, 236775, 5433, 236787, 623, 236777, 2765, 506, 1698, 236764, 840, 8341, 691, 5111, 236761, 21284, 4006, 16593, 236761, 223120, 236764, 22424, 66044, 236775, 107, 236772, 5213, 27779, 5433, 53121, 623, 239176, 7179, 16593, 2862, 528, 19627, 31882, 236775, 108, 2094, 7412, 531, 3014, 506, 1689, 9697, 506, 5602, 5048, 531, 17730, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3671, 3342, 653, 6518, 672, 1938, 1131, 496, 31044, 5177, 2072, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 4602, 756, 236778, 236778, 236812, 236761, 236771, 236761, 236771, 236761, 236778, 236810, 236770, 236789, 496, 4341, 10710, 3421, 236881, 2900, 563, 506, 65911, 3393, 573, 756, 236770, 236832, 236761, 236770, 236832, 236778, 236761, 236778, 236778, 236812, 236761, 236812, 236832, 103709, 2375, 236743, 236778, 236812, 236771, 236771, 496, 42681, 1051, 236881, 64747, 236764, 2203, 506, 3877, 529, 614, 6828, 607, 614, 4068, 2886, 529, 609, 236812, 236771, 236771, 236771, 236764, 614, 7384, 2517, 529, 609, 236812, 236771, 236771, 236764, 573, 236743, 236800, 236771, 1518, 236764, 607, 496, 994, 3136, 529, 236743, 236800, 10014, 532, 614, 14440, 3136, 529, 236743, 236770, 236761, 236810, 9525, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 4602, 756, 236778, 236778, 236812, 236761, 236771, 236761, 236771, 236761, 236778, 236810, 236770, 236789, 496, 4341, 10710, 3421, 236881, 1018, 138, 107, 139, 10784, 236764, 625, 563, 496, 4341, 87730, 236812, 3421, 236761, 3153, 236764, 625, 19681, 531, 506, 5213, 8606, 198583, 3421, 2644, 1018, 568, 236778, 236778, 236812, 236761, 236771, 236761, 236771, 236761, 236771, 531, 236743, 236778, 236800, 236819, 236761, 236778, 236810, 236810, 236761, 236778, 236810, 236810, 236761, 236778, 236810, 236810, 779, 1456, 573, 2299, 15840, 236764, 711, 4077, 7359, 236761, 108, 236778, 236761, 5213, 92824, 3393, 573, 756, 236770, 236832, 236761, 236770, 236832, 236778, 236761, 236778, 236778, 236812, 236761, 236812, 236832, 2632, 1018, 138, 107, 139, 2094, 10710, 3421, 563, 12314, 531, 9947, 5295, 236761, 568, 14344, 90351, 236764, 8253, 769, 669, 23494, 65911, 3393, 573, 9947, 236789, 236751, 28471, 563, 5213, 236819, 236810, 236771, 236770, 236812, 84750, 10710, 179692, 563, 711, 2462, 18997, 236764, 834, 672, 563, 614, 10967, 236761, 108, 236800, 236761, 5213, 4602, 236743, 236778, 236812, 236771, 236771, 496, 42681, 1051, 236881, 1018, 138, 107, 139, 10784, 236761, 111444, 1051, 6366, 236787, 138, 107, 139, 236772, 7687, 158296, 684, 236743, 236812, 16130, 8438, 236761, 138, 107, 139, 236772, 5213, 4573, 1018, 768, 69330, 684, 236743, 236770, 236771, 236771, 16130, 8438, 236764, 625, 563, 992, 69330, 684, 236743, 236812, 236771, 236771, 16130, 8438, 236761, 138, 107, 139, 238183, 5213, 236778, 236812, 236771, 236771, 563, 496, 42681, 1051, 99382, 108, 236812, 236761, 5213, 116075, 26608, 115716, 53121, 138, 107, 139, 17123, 496, 4867, 25805, 607, 506, 2269, 9103, 236787, 138, 107, 139, 236772, 20879, 2886, 236787, 609, 236812, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 19419, 2517, 236787, 609, 236812, 236771, 236771, 568, 79442, 573, 236743, 236770, 236761, 236810, 236908, 14440, 236768, 138, 107, 139, 236772, 49483, 236787, 236743, 236800, 236771, 1518, 138, 107, 139, 236772, 9657, 3136, 236787, 236743, 236800, 236908, 568, 212069, 236768, 138, 107, 139, 236772, 80992, 3136, 236787, 236743, 236770, 236761, 236810, 236908, 138, 108, 139, 1018, 4116, 568, 495, 3124, 236858, 236751, 21186, 2066, 1473, 1018, 138, 107, 139, 236772, 5213, 9640, 7647, 25676, 53121, 609, 236770, 236825, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 5213, 17667, 7002, 568, 113934, 236772, 79442, 1473, 1018, 2578, 1018, 236795, 236778, 236771, 236764, 236812, 236800, 236800, 1018, 138, 107, 139, 236772, 5213, 83380, 9535, 53121, 870, 46603, 5904, 3205, 573, 44751, 1619, 138, 108, 139, 236829, 10282, 236787, 116870, 1161, 1759, 7623, 568, 236770, 236761, 236810, 236908, 217816, 236768, 531, 2881, 573, 14440, 9603, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 4602, 756, 236778, 236778, 236812, 236761, 236771, 236761, 236771, 236761, 236778, 236810, 236770, 236789, 496, 4341, 10710, 3421, 236881, 2900, 563, 506, 65911, 3393, 573, 756, 236770, 236832, 236761, 236770, 236832, 236778, 236761, 236778, 236778, 236812, 236761, 236812, 236832, 103709, 2375, 236743, 236778, 236812, 236771, 236771, 496, 42681, 1051, 236881, 64747, 236764, 2203, 506, 3877, 529, 614, 6828, 607, 614, 4068, 2886, 529, 609, 236812, 236771, 236771, 236771, 236764, 614, 7384, 2517, 529, 609, 236812, 236771, 236771, 236764, 573, 236743, 236800, 236771, 1518, 236764, 607, 496, 994, 3136, 529, 236743, 236800, 10014, 532, 614, 14440, 3136, 529, 236743, 236770, 236761, 236810, 9525, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 4602, 756, 236778, 236778, 236812, 236761, 236771, 236761, 236771, 236761, 236778, 236810, 236770, 236789, 496, 4341, 10710, 3421, 236881, 1018, 138, 107, 139, 10784, 236764, 625, 563, 496, 4341, 87730, 236812, 3421, 236761, 3153, 236764, 625, 19681, 531, 506, 5213, 8606, 198583, 3421, 2644, 1018, 568, 236778, 236778, 236812, 236761, 236771, 236761, 236771, 236761, 236771, 531, 236743, 236778, 236800, 236819, 236761, 236778, 236810, 236810, 236761, 236778, 236810, 236810, 236761, 236778, 236810, 236810, 779, 1456, 573, 2299, 15840, 236764, 711, 4077, 7359, 236761, 108, 236778, 236761, 5213, 92824, 3393, 573, 756, 236770, 236832, 236761, 236770, 236832, 236778, 236761, 236778, 236778, 236812, 236761, 236812, 236832, 2632, 1018, 138, 107, 139, 2094, 10710, 3421, 563, 12314, 531, 9947, 5295, 236761, 568, 14344, 90351, 236764, 8253, 769, 669, 23494, 65911, 3393, 573, 9947, 236789, 236751, 28471, 563, 5213, 236819, 236810, 236771, 236770, 236812, 84750, 10710, 179692, 563, 711, 2462, 18997, 236764, 834, 672, 563, 614, 10967, 236761, 108, 236800, 236761, 5213, 4602, 236743, 236778, 236812, 236771, 236771, 496, 42681, 1051, 236881, 1018, 138, 107, 139, 10784, 236761, 111444, 1051, 6366, 236787, 138, 107, 139, 236772, 7687, 158296, 684, 236743, 236812, 16130, 8438, 236761, 138, 107, 139, 236772, 5213, 4573, 1018, 768, 69330, 684, 236743, 236770, 236771, 236771, 16130, 8438, 236764, 625, 563, 992, 69330, 684, 236743, 236812, 236771, 236771, 16130, 8438, 236761, 138, 107, 139, 238183, 5213, 236778, 236812, 236771, 236771, 563, 496, 42681, 1051, 99382, 108, 236812, 236761, 5213, 116075, 26608, 115716, 53121, 138, 107, 139, 17123, 496, 4867, 25805, 607, 506, 2269, 9103, 236787, 138, 107, 139, 236772, 20879, 2886, 236787, 609, 236812, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 19419, 2517, 236787, 609, 236812, 236771, 236771, 568, 79442, 573, 236743, 236770, 236761, 236810, 236908, 14440, 236768, 138, 107, 139, 236772, 49483, 236787, 236743, 236800, 236771, 1518, 138, 107, 139, 236772, 9657, 3136, 236787, 236743, 236800, 236908, 568, 212069, 236768, 138, 107, 139, 236772, 80992, 3136, 236787, 236743, 236770, 236761, 236810, 236908, 138, 108, 139, 1018, 4116, 568, 495, 3124, 236858, 236751, 21186, 2066, 1473, 1018, 138, 107, 139, 236772, 5213, 9640, 7647, 25676, 53121, 609, 236770, 236825, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 5213, 17667, 7002, 568, 113934, 236772, 79442, 1473, 1018, 2578, 1018, 236795, 236778, 236771, 236764, 236812, 236800, 236800, 1018, 138, 107, 139, 236772, 5213, 83380, 9535, 53121, 870, 46603, 5904, 3205, 573, 44751, 1619, 138, 108, 139, 236829, 10282, 236787, 116870, 1161, 1759, 7623, 568, 236770, 236761, 236810, 236908, 217816, 236768, 531, 2881, 573, 14440, 9603, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 52928, 44605, 573, 614, 2460, 564, 236789, 236757, 6995, 236761, 564, 6827, 1003, 496, 38856, 7489, 8451, 565, 6298, 507, 237028, 4881, 611, 8091, 914, 20673, 532, 6334, 1262, 236881, 564, 1461, 531, 8357, 203299, 25092, 528, 1041, 52724, 1960, 236789, 236751, 42527, 5417, 236764, 532, 2338, 668, 236789, 236751, 203299, 236772, 14645, 236764, 564, 1751, 668, 236789, 236753, 577, 496, 1822, 4926, 236761, 9996, 2889, 531, 3204, 914, 13710, 3117, 236764, 1873, 3423, 236764, 532, 1027, 24786, 29685, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 26749, 565, 6298, 507, 827, 623, 122223, 1083, 623, 818, 32336, 827, 623, 58392, 1083, 623, 7168, 1687, 6078, 827, 623, 17789, 1083, 623, 236770, 236800, 236772, 236800, 236772, 236771, 827, 623, 89298, 236779, 3061, 1083, 623, 204979, 163859, 236772, 236863, 64056, 568, 6907, 49515, 779, 188492, 28991, 236764, 88377, 827, 623, 2217, 742, 236779, 813, 102106, 1083, 11058, 236836, 11962, 61127, 15895, 1689, 2460, 32571, 827, 623, 52277, 529, 506, 15895, 16201, 568, 236778, 236781, 22730, 623, 29002, 524, 997, 236770, 236778, 528, 52928, 45301, 6078, 11247, 14255, 623, 5353, 5167, 1083, 3714, 177349, 1083, 623, 236788, 44547, 1037, 236772, 14645, 827, 623, 37832, 2811, 1083, 623, 818, 90184, 236764, 1799, 3773, 236764, 8288, 827, 623, 18886, 236779, 5521, 1083, 623, 14645, 8231, 10765, 236764, 10964, 827, 623, 99313, 236779, 3041, 1083, 236743, 236778, 236771, 236771, 236828, 1263, 623, 43852, 236779, 236760, 4821, 1083, 78493, 157638, 1083, 623, 23969, 564, 787, 827, 623, 3709, 1083, 623, 43279, 568, 87732, 22730, 623, 5106, 1083, 623, 236836, 11962, 236743, 236778, 236828, 236828, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236825, 23179, 3714, 157638, 1083, 623, 62058, 144048, 827, 623, 3709, 1083, 623, 17561, 568, 127907, 22730, 623, 5106, 1083, 623, 236836, 11962, 61127, 15895, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236770, 236832, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 580, 8451, 565, 6298, 507, 573, 822, 42527, 5417, 236787, 108, 1018, 26749, 623, 818, 32336, 236775, 565, 6298, 507, 1018, 138, 107, 1018, 54763, 53121, 109641, 6078, 138, 107, 1018, 8782, 19558, 53121, 236743, 236770, 236800, 236772, 236800, 236772, 236771, 138, 107, 1018, 190311, 21072, 53121, 36828, 163859, 236772, 236863, 64056, 568, 6907, 49515, 779, 188492, 28991, 236764, 88377, 138, 107, 1018, 101609, 53121, 203299, 236772, 14645, 138, 107, 1018, 178132, 199186, 53121, 138, 107, 236772, 52928, 61127, 15895, 1689, 2460, 32571, 138, 107, 236772, 236743, 236778, 236781, 19791, 529, 506, 15895, 16201, 13961, 138, 107, 236772, 202262, 997, 236770, 236778, 528, 52928, 45301, 6078, 11247, 138, 108, 1018, 47619, 44987, 70731, 53121, 138, 107, 243594, 5213, 54365, 13357, 53121, 113655, 13626, 1024, 20554, 144048, 568, 8724, 236743, 236778, 236771, 236778, 236778, 236768, 138, 107, 243082, 5213, 178132, 66112, 53121, 93303, 4893, 3967, 531, 6624, 564, 787, 657, 52928, 236743, 236778, 236828, 236828, 568, 12055, 236743, 236778, 236771, 236778, 236800, 236768, 138, 108, 1018, 19702, 22839, 20303, 53121, 138, 107, 236772, 42251, 528, 669, 90184, 236764, 1799, 3773, 138, 107, 236772, 124809, 657, 3668, 8231, 10765, 568, 80409, 236768, 138, 107, 236772, 23471, 6334, 5158, 2338, 236743, 236778, 236771, 236771, 236828, 138, 108, 2094, 8376, 529, 203299, 23060, 532, 28317, 52928, 27672, 3590, 1515, 614, 7516, 14441, 573, 822, 52724, 1960, 236789, 236751, 9226, 17358, 236761, 21284, 611, 1133, 1027, 4767, 4889, 653, 65977, 580, 3530, 10217, 529, 914, 6334, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 52928, 44605, 573, 614, 2460, 564, 236789, 236757, 6995, 236761, 564, 6827, 1003, 496, 38856, 7489, 8451, 565, 6298, 507, 237028, 4881, 611, 8091, 914, 20673, 532, 6334, 1262, 236881, 564, 1461, 531, 8357, 203299, 25092, 528, 1041, 52724, 1960, 236789, 236751, 42527, 5417, 236764, 532, 2338, 668, 236789, 236751, 203299, 236772, 14645, 236764, 564, 1751, 668, 236789, 236753, 577, 496, 1822, 4926, 236761, 9996, 2889, 531, 3204, 914, 13710, 3117, 236764, 1873, 3423, 236764, 532, 1027, 24786, 29685, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 26749, 565, 6298, 507, 827, 623, 122223, 1083, 623, 818, 32336, 827, 623, 58392, 1083, 623, 7168, 1687, 6078, 827, 623, 17789, 1083, 623, 236770, 236800, 236772, 236800, 236772, 236771, 827, 623, 89298, 236779, 3061, 1083, 623, 204979, 163859, 236772, 236863, 64056, 568, 6907, 49515, 779, 188492, 28991, 236764, 88377, 827, 623, 2217, 742, 236779, 813, 102106, 1083, 11058, 236836, 11962, 61127, 15895, 1689, 2460, 32571, 827, 623, 52277, 529, 506, 15895, 16201, 568, 236778, 236781, 22730, 623, 29002, 524, 997, 236770, 236778, 528, 52928, 45301, 6078, 11247, 14255, 623, 5353, 5167, 1083, 3714, 177349, 1083, 623, 236788, 44547, 1037, 236772, 14645, 827, 623, 37832, 2811, 1083, 623, 818, 90184, 236764, 1799, 3773, 236764, 8288, 827, 623, 18886, 236779, 5521, 1083, 623, 14645, 8231, 10765, 236764, 10964, 827, 623, 99313, 236779, 3041, 1083, 236743, 236778, 236771, 236771, 236828, 1263, 623, 43852, 236779, 236760, 4821, 1083, 78493, 157638, 1083, 623, 23969, 564, 787, 827, 623, 3709, 1083, 623, 43279, 568, 87732, 22730, 623, 5106, 1083, 623, 236836, 11962, 236743, 236778, 236828, 236828, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236825, 23179, 3714, 157638, 1083, 623, 62058, 144048, 827, 623, 3709, 1083, 623, 17561, 568, 127907, 22730, 623, 5106, 1083, 623, 236836, 11962, 61127, 15895, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236770, 236832, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 580, 8451, 565, 6298, 507, 573, 822, 42527, 5417, 236787, 108, 1018, 26749, 623, 818, 32336, 236775, 565, 6298, 507, 1018, 138, 107, 1018, 54763, 53121, 109641, 6078, 138, 107, 1018, 8782, 19558, 53121, 236743, 236770, 236800, 236772, 236800, 236772, 236771, 138, 107, 1018, 190311, 21072, 53121, 36828, 163859, 236772, 236863, 64056, 568, 6907, 49515, 779, 188492, 28991, 236764, 88377, 138, 107, 1018, 101609, 53121, 203299, 236772, 14645, 138, 107, 1018, 178132, 199186, 53121, 138, 107, 236772, 52928, 61127, 15895, 1689, 2460, 32571, 138, 107, 236772, 236743, 236778, 236781, 19791, 529, 506, 15895, 16201, 13961, 138, 107, 236772, 202262, 997, 236770, 236778, 528, 52928, 45301, 6078, 11247, 138, 108, 1018, 47619, 44987, 70731, 53121, 138, 107, 243594, 5213, 54365, 13357, 53121, 113655, 13626, 1024, 20554, 144048, 568, 8724, 236743, 236778, 236771, 236778, 236778, 236768, 138, 107, 243082, 5213, 178132, 66112, 53121, 93303, 4893, 3967, 531, 6624, 564, 787, 657, 52928, 236743, 236778, 236828, 236828, 568, 12055, 236743, 236778, 236771, 236778, 236800, 236768, 138, 108, 1018, 19702, 22839, 20303, 53121, 138, 107, 236772, 42251, 528, 669, 90184, 236764, 1799, 3773, 138, 107, 236772, 124809, 657, 3668, 8231, 10765, 568, 80409, 236768, 138, 107, 236772, 23471, 6334, 5158, 2338, 236743, 236778, 236771, 236771, 236828, 138, 108, 2094, 8376, 529, 203299, 23060, 532, 28317, 52928, 27672, 3590, 1515, 614, 7516, 14441, 573, 822, 52724, 1960, 236789, 236751, 9226, 17358, 236761, 21284, 611, 1133, 1027, 4767, 4889, 653, 65977, 580, 3530, 10217, 529, 914, 6334, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 2260, 22344, 653, 2802, 8398, 22479, 3797, 236761, 3551, 1873, 15858, 659, 5809, 531, 20150, 44426, 17253, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 2260, 22344, 653, 2802, 8398, 22479, 3797, 236761, 3551, 1873, 15858, 659, 5809, 531, 20150, 44426, 17253, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 3399, 27715, 4926, 1003, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 1610, 19548, 573, 1023, 16038, 7972, 5975, 5395, 236761, 564, 735, 496, 14993, 699, 1116, 564, 1461, 531, 1161, 236764, 840, 564, 1202, 531, 16807, 625, 236789, 236751, 528, 5422, 1171, 1680, 564, 740, 18840, 625, 573, 496, 2317, 1707, 236761, 669, 14993, 563, 236787, 623, 236777, 1765, 564, 1451, 1879, 2432, 607, 2258, 532, 15965, 600, 564, 9225, 236789, 236745, 1879, 1027, 1032, 1595, 237028, 71467, 564, 1053, 951, 4171, 573, 1781, 28344, 611, 9128, 506, 5192, 563, 5422, 236764, 1299, 1586, 506, 27801, 180522, 660, 525, 85440, 528, 600, 4453, 1816, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19859, 1083, 623, 501, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236819, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 139989, 236779, 13463, 724, 660, 525, 236779, 26967, 1083, 623, 236777, 25938, 106, 107, 105, 4368, 107, 818, 14993, 563, 10778, 531, 577, 528, 5422, 568, 19859, 236787, 623, 501, 827, 10805, 236787, 236743, 236771, 236761, 236819, 236819, 769, 669, 27801, 180522, 660, 525, 85440, 528, 506, 4453, 1816, 563, 5213, 236775, 236777, 236775, 1018, 568, 236746, 3161, 236772, 13143, 142193, 236764, 618, 951, 4890, 180522, 660, 525, 17047, 2849, 528, 506, 14993, 769, 236743, 108, 25188, 1707, 236787, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 1161, 529, 506, 145715, 623, 236777, 236775, 618, 506, 27801, 180522, 660, 525, 3408, 528, 1116, 14993, 22136, 1116, 19297, 3577, 25075, 8300, 237028, 3350, 1581, 506, 33055, 45755, 4820, 6081, 27725, 6590, 236761, 236743, 242560, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 3399, 27715, 4926, 1003, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 1610, 19548, 573, 1023, 16038, 7972, 5975, 5395, 236761, 564, 735, 496, 14993, 699, 1116, 564, 1461, 531, 1161, 236764, 840, 564, 1202, 531, 16807, 625, 236789, 236751, 528, 5422, 1171, 1680, 564, 740, 18840, 625, 573, 496, 2317, 1707, 236761, 669, 14993, 563, 236787, 623, 236777, 1765, 564, 1451, 1879, 2432, 607, 2258, 532, 15965, 600, 564, 9225, 236789, 236745, 1879, 1027, 1032, 1595, 237028, 71467, 564, 1053, 951, 4171, 573, 1781, 28344, 611, 9128, 506, 5192, 563, 5422, 236764, 1299, 1586, 506, 27801, 180522, 660, 525, 85440, 528, 600, 4453, 1816, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19859, 1083, 623, 501, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236819, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 139989, 236779, 13463, 724, 660, 525, 236779, 26967, 1083, 623, 236777, 25938, 106, 107, 105, 4368, 107, 818, 14993, 563, 10778, 531, 577, 528, 5422, 568, 19859, 236787, 623, 501, 827, 10805, 236787, 236743, 236771, 236761, 236819, 236819, 769, 669, 27801, 180522, 660, 525, 85440, 528, 506, 4453, 1816, 563, 5213, 236775, 236777, 236775, 1018, 568, 236746, 3161, 236772, 13143, 142193, 236764, 618, 951, 4890, 180522, 660, 525, 17047, 2849, 528, 506, 14993, 769, 236743, 108, 25188, 1707, 236787, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 1161, 529, 506, 145715, 623, 236777, 236775, 618, 506, 27801, 180522, 660, 525, 3408, 528, 1116, 14993, 22136, 1116, 19297, 3577, 25075, 8300, 237028, 3350, 1581, 506, 33055, 45755, 4820, 6081, 27725, 6590, 236761, 236743, 242560, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 1156, 33597, 4856, 10789, 573, 496, 7548, 236761, 5315, 236764, 2426, 2881, 1548, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 607, 4260, 3393, 236743, 236771, 236812, 236812, 1699, 506, 18256, 5904, 236761, 1637, 4341, 236764, 9128, 506, 2881, 19305, 236789, 236751, 1463, 12853, 623, 104918, 236789, 236751, 166858, 77245, 11220, 3056, 1637, 19070, 236764, 2426, 2881, 1548, 236743, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 607, 506, 1638, 4260, 3393, 236761, 9920, 496, 4341, 2881, 563, 1765, 236764, 33205, 1061, 2587, 4889, 532, 5330, 506, 4856, 1463, 563, 623, 11942, 5970, 3056, 1637, 13637, 4146, 236764, 1531, 786, 1281, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 10479, 3970, 1083, 623, 230744, 4260, 17253, 1660, 1806, 26798, 568, 236744, 236761, 236759, 1126, 236743, 236771, 236812, 236812, 573, 13863, 5970, 769, 65802, 236743, 236812, 236812, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 4856, 4260, 3393, 236761, 3790, 12659, 528, 506, 33597, 16906, 79098, 8739, 78266, 10498, 623, 13308, 1083, 3714, 56082, 236779, 10479, 3970, 1083, 623, 236812, 236812, 236771, 827, 623, 4730, 236779, 10479, 3970, 236779, 8358, 1083, 623, 236771, 236812, 236812, 568, 11942, 5970, 22730, 623, 2064, 1083, 623, 9366, 16807, 506, 4260, 3393, 532, 2056, 1570, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10479, 3970, 1083, 623, 46456, 2483, 236764, 2506, 11995, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11622, 236779, 5640, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 10479, 236779, 3970, 1083, 623, 236771, 236812, 236812, 827, 623, 11622, 236779, 5317, 1083, 623, 104918, 236789, 236751, 166858, 77245, 11220, 827, 623, 15433, 236779, 1201, 1083, 623, 11942, 5970, 827, 623, 11622, 236779, 2084, 1083, 623, 17844, 14040, 827, 623, 4818, 1083, 623, 14009, 827, 623, 107996, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1171, 2881, 5213, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 1018, 607, 4260, 3393, 5213, 236771, 236812, 236812, 1018, 815, 1010, 10428, 44526, 236761, 669, 2881, 19305, 1463, 5213, 236775, 104918, 236789, 236751, 166858, 77245, 11220, 236775, 1018, 12853, 236764, 532, 506, 4856, 563, 10778, 618, 5213, 11942, 5970, 84750, 669, 2881, 563, 5158, 532, 5508, 573, 16788, 236761, 236743, 108, 3771, 1202, 531, 2426, 506, 1855, 2881, 236761, 236743, 108, 1018, 87228, 20303, 53121, 107, 236772, 11358, 9250, 236787, 7449, 14040, 107, 236772, 18365, 236787, 23531, 107, 236772, 90329, 6809, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 59528, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 1156, 33597, 4856, 10789, 573, 496, 7548, 236761, 5315, 236764, 2426, 2881, 1548, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 607, 4260, 3393, 236743, 236771, 236812, 236812, 1699, 506, 18256, 5904, 236761, 1637, 4341, 236764, 9128, 506, 2881, 19305, 236789, 236751, 1463, 12853, 623, 104918, 236789, 236751, 166858, 77245, 11220, 3056, 1637, 19070, 236764, 2426, 2881, 1548, 236743, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 607, 506, 1638, 4260, 3393, 236761, 9920, 496, 4341, 2881, 563, 1765, 236764, 33205, 1061, 2587, 4889, 532, 5330, 506, 4856, 1463, 563, 623, 11942, 5970, 3056, 1637, 13637, 4146, 236764, 1531, 786, 1281, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 10479, 3970, 1083, 623, 230744, 4260, 17253, 1660, 1806, 26798, 568, 236744, 236761, 236759, 1126, 236743, 236771, 236812, 236812, 573, 13863, 5970, 769, 65802, 236743, 236812, 236812, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 4856, 4260, 3393, 236761, 3790, 12659, 528, 506, 33597, 16906, 79098, 8739, 78266, 10498, 623, 13308, 1083, 3714, 56082, 236779, 10479, 3970, 1083, 623, 236812, 236812, 236771, 827, 623, 4730, 236779, 10479, 3970, 236779, 8358, 1083, 623, 236771, 236812, 236812, 568, 11942, 5970, 22730, 623, 2064, 1083, 623, 9366, 16807, 506, 4260, 3393, 532, 2056, 1570, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10479, 3970, 1083, 623, 46456, 2483, 236764, 2506, 11995, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11622, 236779, 5640, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 10479, 236779, 3970, 1083, 623, 236771, 236812, 236812, 827, 623, 11622, 236779, 5317, 1083, 623, 104918, 236789, 236751, 166858, 77245, 11220, 827, 623, 15433, 236779, 1201, 1083, 623, 11942, 5970, 827, 623, 11622, 236779, 2084, 1083, 623, 17844, 14040, 827, 623, 4818, 1083, 623, 14009, 827, 623, 107996, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1171, 2881, 5213, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 1018, 607, 4260, 3393, 5213, 236771, 236812, 236812, 1018, 815, 1010, 10428, 44526, 236761, 669, 2881, 19305, 1463, 5213, 236775, 104918, 236789, 236751, 166858, 77245, 11220, 236775, 1018, 12853, 236764, 532, 506, 4856, 563, 10778, 618, 5213, 11942, 5970, 84750, 669, 2881, 563, 5158, 532, 5508, 573, 16788, 236761, 236743, 108, 3771, 1202, 531, 2426, 506, 1855, 2881, 236761, 236743, 108, 1018, 87228, 20303, 53121, 107, 236772, 11358, 9250, 236787, 7449, 14040, 107, 236772, 18365, 236787, 23531, 107, 236772, 90329, 6809, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 59528, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 9279, 1041, 74013, 236761, 564, 236789, 236757, 236743, 236810, 6172, 236743, 236810, 12371, 13030, 532, 19281, 236743, 236770, 236812, 236771, 15176, 236761, 28344, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 2021, 9279, 822, 74013, 236764, 692, 1171, 7352, 822, 10802, 531, 14966, 6630, 236787, 107, 236772, 5213, 8843, 53121, 236743, 236810, 6172, 236743, 236810, 12371, 578, 236743, 236825, 236810, 12371, 578, 236743, 236770, 236761, 236825, 236810, 236770, 15930, 107, 236772, 5213, 17115, 53121, 236743, 236770, 236812, 236771, 15176, 67081, 236743, 236825, 236800, 236761, 236810, 11944, 108, 1018, 96402, 578, 3825, 568, 7022, 236768, 965, 3558, 568, 236757, 238131, 62902, 138, 107, 96402, 578, 236743, 236825, 236800, 236761, 236810, 965, 568, 236770, 236761, 236825, 236810, 236770, 15666, 236743, 236770, 236761, 236825, 236810, 236770, 236768, 67081, 5213, 236778, 236800, 236761, 236800, 1018, 108, 2094, 16071, 2351, 506, 5213, 7382, 3825, 1018, 2644, 568, 236770, 236828, 236761, 236810, 236964, 236778, 236812, 236761, 236819, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 14984, 236888, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 1070, 63527, 23642, 600, 1161, 91777, 236881, 564, 735, 496, 34351, 699, 1041, 7972, 672, 3409, 532, 1461, 531, 2056, 2613, 861, 236761, 3792, 236858, 236751, 1460, 1144, 9578, 3835, 993, 659, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236953, 226522, 224011, 607, 593, 20675, 827, 623, 77095, 1083, 11058, 236802, 226522, 827, 623, 10162, 543, 827, 623, 5359, 788, 827, 623, 106052, 4446, 827, 623, 1215, 4404, 508, 13840, 14255, 623, 2883, 1083, 623, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 236802, 226522, 236772, 231903, 23179, 3714, 3250, 1083, 623, 894, 60565, 1491, 226522, 100217, 827, 623, 77095, 1083, 11058, 236802, 226522, 827, 623, 1391, 21580, 827, 623, 26356, 813, 827, 623, 49010, 13840, 827, 623, 236763, 14814, 14255, 623, 2883, 1083, 623, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 540, 60565, 236772, 236802, 226522, 25938, 1604, 623, 4375, 1083, 623, 11099, 236743, 236778, 9578, 63527, 23642, 1699, 91777, 236761, 28819, 822, 7972, 34351, 9332, 236783, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236778, 9578, 63527, 23642, 531, 1161, 822, 91777, 34351, 236787, 108, 236770, 236761, 5213, 236840, 236953, 226522, 224011, 607, 593, 20675, 5457, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 236802, 226522, 236772, 231903, 62902, 138, 107, 139, 236829, 64690, 149681, 1491, 226522, 236764, 46590, 236764, 29508, 236764, 26012, 4446, 236764, 144378, 13840, 138, 107, 139, 250764, 562, 2214, 236764, 114996, 236772, 51958, 13415, 4011, 573, 5312, 236761, 108, 236778, 236761, 5213, 236840, 894, 60565, 1491, 226522, 100217, 5457, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 540, 60565, 236772, 236802, 226522, 62902, 138, 107, 139, 236829, 64690, 149681, 1491, 226522, 236764, 3866, 21580, 236764, 65051, 236764, 9728, 13840, 236764, 41559, 138, 107, 139, 248045, 562, 83862, 236764, 6762, 236772, 9705, 5086, 607, 496, 66799, 41559, 70013, 236761, 108, 20030, 14049, 236888, 103453, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 653, 15936, 236888, 106, 107, 105, 2364, 107, 30092, 611, 3927, 34115, 573, 82341, 4596, 531, 756, 147332, 13294, 6995, 236789, 653, 756, 147332, 15028, 54213, 103709, 564, 236858, 236753, 1133, 531, 1586, 496, 31044, 7930, 653, 850, 531, 2514, 4087, 529, 1144, 564, 236858, 236757, 14049, 532, 1056, 236761, 3551, 7972, 236858, 236751, 13342, 919, 91777, 1082, 564, 1281, 1144, 531, 776, 607, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82374, 1083, 78493, 1201, 1083, 623, 236855, 9015, 65247, 215895, 827, 623, 7777, 1083, 623, 236776, 71415, 7930, 573, 16074, 63527, 18917, 236764, 32095, 15852, 236764, 532, 14049, 30916, 236761, 49308, 91777, 236772, 18865, 23642, 10498, 623, 37623, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 19859, 1083, 623, 44195, 23179, 3714, 1201, 1083, 623, 236855, 9015, 64020, 175870, 827, 623, 7777, 1083, 623, 6721, 850, 573, 35447, 63527, 23642, 236764, 20150, 10294, 15852, 236764, 532, 6995, 16789, 45309, 10498, 623, 37623, 1083, 236743, 236819, 236828, 236771, 236764, 623, 19859, 1083, 623, 32651, 23179, 3714, 1201, 1083, 623, 236953, 226522, 4330, 2335, 112819, 827, 623, 7777, 1083, 623, 46640, 236772, 27612, 5249, 529, 63527, 91777, 23642, 532, 33862, 8403, 10498, 623, 37623, 1083, 236743, 236825, 236832, 236771, 236764, 623, 19859, 1083, 623, 8185, 25938, 1604, 623, 6725, 236779, 2861, 1083, 236743, 236812, 236778, 236764, 623, 5594, 236779, 5576, 236779, 12103, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236800, 34115, 82341, 531, 1601, 607, 63527, 13294, 6995, 532, 91777, 66342, 236787, 108, 236770, 236761, 5213, 236855, 9015, 65247, 215895, 1018, 568, 44195, 236764, 236743, 236770, 236761, 236778, 236767, 8197, 236768, 138, 107, 139, 236772, 82678, 18917, 236764, 32095, 15852, 236764, 532, 14049, 30916, 607, 91777, 236772, 18865, 23642, 5012, 236761, 138, 107, 139, 236772, 8098, 573, 31044, 16789, 6995, 236761, 108, 236778, 236761, 5213, 236855, 9015, 64020, 175870, 1018, 568, 32651, 236764, 236743, 236819, 236828, 236771, 8197, 236768, 138, 107, 139, 236772, 6940, 850, 573, 35447, 23642, 236764, 20150, 10294, 15852, 236764, 532, 6831, 6995, 236761, 138, 107, 139, 236772, 45891, 573, 14896, 236772, 187711, 5089, 1015, 1461, 28431, 236761, 108, 236800, 236761, 5213, 236953, 226522, 4330, 2335, 112819, 1018, 568, 8185, 236764, 236743, 236825, 236832, 236771, 8197, 236768, 138, 107, 139, 236772, 11493, 236772, 27612, 5249, 529, 63527, 91777, 23642, 532, 33862, 11221, 568, 236744, 236761, 236759, 1126, 91777, 51831, 236764, 45568, 91777, 769, 138, 108, 3810, 659, 5213, 236812, 236778, 236862, 2536, 1018, 2558, 236764, 834, 1531, 786, 1281, 768, 611, 236789, 236753, 1133, 19276, 4889, 653, 4767, 3835, 236888, 236743, 251722, 244862, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 9279, 1041, 74013, 236761, 564, 236789, 236757, 236743, 236810, 6172, 236743, 236810, 12371, 13030, 532, 19281, 236743, 236770, 236812, 236771, 15176, 236761, 28344, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 2021, 9279, 822, 74013, 236764, 692, 1171, 7352, 822, 10802, 531, 14966, 6630, 236787, 107, 236772, 5213, 8843, 53121, 236743, 236810, 6172, 236743, 236810, 12371, 578, 236743, 236825, 236810, 12371, 578, 236743, 236770, 236761, 236825, 236810, 236770, 15930, 107, 236772, 5213, 17115, 53121, 236743, 236770, 236812, 236771, 15176, 67081, 236743, 236825, 236800, 236761, 236810, 11944, 108, 1018, 96402, 578, 3825, 568, 7022, 236768, 965, 3558, 568, 236757, 238131, 62902, 138, 107, 96402, 578, 236743, 236825, 236800, 236761, 236810, 965, 568, 236770, 236761, 236825, 236810, 236770, 15666, 236743, 236770, 236761, 236825, 236810, 236770, 236768, 67081, 5213, 236778, 236800, 236761, 236800, 1018, 108, 2094, 16071, 2351, 506, 5213, 7382, 3825, 1018, 2644, 568, 236770, 236828, 236761, 236810, 236964, 236778, 236812, 236761, 236819, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 14984, 236888, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 1070, 63527, 23642, 600, 1161, 91777, 236881, 564, 735, 496, 34351, 699, 1041, 7972, 672, 3409, 532, 1461, 531, 2056, 2613, 861, 236761, 3792, 236858, 236751, 1460, 1144, 9578, 3835, 993, 659, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236953, 226522, 224011, 607, 593, 20675, 827, 623, 77095, 1083, 11058, 236802, 226522, 827, 623, 10162, 543, 827, 623, 5359, 788, 827, 623, 106052, 4446, 827, 623, 1215, 4404, 508, 13840, 14255, 623, 2883, 1083, 623, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 236802, 226522, 236772, 231903, 23179, 3714, 3250, 1083, 623, 894, 60565, 1491, 226522, 100217, 827, 623, 77095, 1083, 11058, 236802, 226522, 827, 623, 1391, 21580, 827, 623, 26356, 813, 827, 623, 49010, 13840, 827, 623, 236763, 14814, 14255, 623, 2883, 1083, 623, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 540, 60565, 236772, 236802, 226522, 25938, 1604, 623, 4375, 1083, 623, 11099, 236743, 236778, 9578, 63527, 23642, 1699, 91777, 236761, 28819, 822, 7972, 34351, 9332, 236783, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236778, 9578, 63527, 23642, 531, 1161, 822, 91777, 34351, 236787, 108, 236770, 236761, 5213, 236840, 236953, 226522, 224011, 607, 593, 20675, 5457, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 236802, 226522, 236772, 231903, 62902, 138, 107, 139, 236829, 64690, 149681, 1491, 226522, 236764, 46590, 236764, 29508, 236764, 26012, 4446, 236764, 144378, 13840, 138, 107, 139, 250764, 562, 2214, 236764, 114996, 236772, 51958, 13415, 4011, 573, 5312, 236761, 108, 236778, 236761, 5213, 236840, 894, 60565, 1491, 226522, 100217, 5457, 2574, 1411, 147332, 236772, 113519, 236761, 8358, 236761, 854, 236786, 540, 60565, 236772, 236802, 226522, 62902, 138, 107, 139, 236829, 64690, 149681, 1491, 226522, 236764, 3866, 21580, 236764, 65051, 236764, 9728, 13840, 236764, 41559, 138, 107, 139, 248045, 562, 83862, 236764, 6762, 236772, 9705, 5086, 607, 496, 66799, 41559, 70013, 236761, 108, 20030, 14049, 236888, 103453, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 653, 15936, 236888, 106, 107, 105, 2364, 107, 30092, 611, 3927, 34115, 573, 82341, 4596, 531, 756, 147332, 13294, 6995, 236789, 653, 756, 147332, 15028, 54213, 103709, 564, 236858, 236753, 1133, 531, 1586, 496, 31044, 7930, 653, 850, 531, 2514, 4087, 529, 1144, 564, 236858, 236757, 14049, 532, 1056, 236761, 3551, 7972, 236858, 236751, 13342, 919, 91777, 1082, 564, 1281, 1144, 531, 776, 607, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82374, 1083, 78493, 1201, 1083, 623, 236855, 9015, 65247, 215895, 827, 623, 7777, 1083, 623, 236776, 71415, 7930, 573, 16074, 63527, 18917, 236764, 32095, 15852, 236764, 532, 14049, 30916, 236761, 49308, 91777, 236772, 18865, 23642, 10498, 623, 37623, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 19859, 1083, 623, 44195, 23179, 3714, 1201, 1083, 623, 236855, 9015, 64020, 175870, 827, 623, 7777, 1083, 623, 6721, 850, 573, 35447, 63527, 23642, 236764, 20150, 10294, 15852, 236764, 532, 6995, 16789, 45309, 10498, 623, 37623, 1083, 236743, 236819, 236828, 236771, 236764, 623, 19859, 1083, 623, 32651, 23179, 3714, 1201, 1083, 623, 236953, 226522, 4330, 2335, 112819, 827, 623, 7777, 1083, 623, 46640, 236772, 27612, 5249, 529, 63527, 91777, 23642, 532, 33862, 8403, 10498, 623, 37623, 1083, 236743, 236825, 236832, 236771, 236764, 623, 19859, 1083, 623, 8185, 25938, 1604, 623, 6725, 236779, 2861, 1083, 236743, 236812, 236778, 236764, 623, 5594, 236779, 5576, 236779, 12103, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236800, 34115, 82341, 531, 1601, 607, 63527, 13294, 6995, 532, 91777, 66342, 236787, 108, 236770, 236761, 5213, 236855, 9015, 65247, 215895, 1018, 568, 44195, 236764, 236743, 236770, 236761, 236778, 236767, 8197, 236768, 138, 107, 139, 236772, 82678, 18917, 236764, 32095, 15852, 236764, 532, 14049, 30916, 607, 91777, 236772, 18865, 23642, 5012, 236761, 138, 107, 139, 236772, 8098, 573, 31044, 16789, 6995, 236761, 108, 236778, 236761, 5213, 236855, 9015, 64020, 175870, 1018, 568, 32651, 236764, 236743, 236819, 236828, 236771, 8197, 236768, 138, 107, 139, 236772, 6940, 850, 573, 35447, 23642, 236764, 20150, 10294, 15852, 236764, 532, 6831, 6995, 236761, 138, 107, 139, 236772, 45891, 573, 14896, 236772, 187711, 5089, 1015, 1461, 28431, 236761, 108, 236800, 236761, 5213, 236953, 226522, 4330, 2335, 112819, 1018, 568, 8185, 236764, 236743, 236825, 236832, 236771, 8197, 236768, 138, 107, 139, 236772, 11493, 236772, 27612, 5249, 529, 63527, 91777, 23642, 532, 33862, 11221, 568, 236744, 236761, 236759, 1126, 91777, 51831, 236764, 45568, 91777, 769, 138, 108, 3810, 659, 5213, 236812, 236778, 236862, 2536, 1018, 2558, 236764, 834, 1531, 786, 1281, 768, 611, 236789, 236753, 1133, 19276, 4889, 653, 4767, 3835, 236888, 236743, 251722, 244862, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 9795, 496, 2263, 3399, 7972, 2203, 528, 29936, 974, 5508, 573, 29080, 236761, 2195, 1461, 531, 1594, 506, 9295, 3325, 532, 2426, 573, 1027, 33984, 1680, 6730, 16062, 236761, 564, 6950, 1041, 1695, 528, 105338, 8351, 4866, 532, 2506, 935, 10796, 1131, 5830, 672, 236888, 669, 7972, 563, 657, 5213, 236812, 236771, 236761, 236825, 236828, 236819, 236778, 237366, 646, 236764, 236743, 236832, 236800, 236761, 236819, 236812, 236812, 236778, 237366, 649, 1018, 568, 17868, 3319, 15375, 573, 496, 8541, 3541, 506, 29936, 22577, 62634, 769, 564, 1202, 531, 1281, 236787, 753, 14040, 9295, 9637, 568, 22971, 236764, 28935, 236768, 753, 2969, 18680, 4535, 568, 53767, 17257, 236764, 54612, 236768, 753, 18592, 5872, 1133, 20511, 236786, 27495, 564, 236858, 560, 6827, 9726, 9106, 1003, 3363, 531, 1161, 11858, 1262, 653, 1759, 236772, 2289, 37297, 236761, 669, 119309, 659, 22566, 1003, 8459, 67491, 699, 14942, 7088, 236761, 2900, 236858, 236751, 506, 1791, 5904, 531, 1161, 1590, 236881, 3574, 564, 1202, 1800, 1873, 532, 11858, 1262, 236881, 6542, 236764, 768, 993, 808, 511, 236829, 33984, 236764, 1217, 1093, 692, 1581, 203644, 606, 600, 236881, 2024, 7463, 1502, 607, 506, 1262, 1171, 236761, 3792, 786, 1281, 1144, 611, 740, 8091, 573, 672, 4563, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 3714, 8938, 1083, 236743, 236812, 236771, 236761, 236825, 236828, 236819, 236778, 236764, 623, 68520, 1083, 753, 236832, 236800, 236761, 236819, 236812, 236812, 236778, 1263, 623, 49156, 236779, 48691, 1083, 3714, 22971, 1083, 236743, 236825, 236761, 236828, 236764, 623, 34791, 236779, 72750, 1083, 623, 236778, 236761, 236770, 70887, 623, 186131, 1083, 623, 236778, 236828, 52460, 827, 623, 33726, 22315, 1083, 623, 236770, 236810, 52460, 827, 623, 14221, 27205, 1083, 623, 236770, 236778, 236771, 52460, 23179, 623, 106018, 236779, 66846, 1083, 3714, 40227, 1083, 3714, 5909, 1083, 623, 236800, 236778, 236771, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 114954, 774, 827, 623, 2064, 236779, 5909, 1083, 623, 169538, 48196, 29867, 6152, 236787, 236743, 236770, 236771, 236771, 52460, 568, 122537, 16291, 1263, 623, 213660, 1083, 3714, 5909, 1083, 623, 236770, 236828, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 166920, 827, 623, 2064, 236779, 5909, 1083, 623, 82675, 102593, 16575, 236787, 236743, 236778, 236771, 52460, 23179, 623, 1042, 23743, 1083, 3714, 5909, 1083, 623, 236771, 236761, 236810, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 26834, 23179, 623, 27174, 19315, 1083, 3714, 5909, 1083, 623, 236810, 236761, 236778, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 114954, 774, 827, 623, 2064, 236779, 5909, 1083, 623, 51961, 7560, 645, 7273, 236823, 236787, 236743, 236770, 52460, 236775, 5237, 623, 182119, 236779, 114613, 236779, 63817, 1083, 78493, 20529, 236779, 547, 1083, 623, 169538, 236772, 236771, 236812, 236771, 236825, 236828, 236819, 236778, 236832, 236800, 236819, 236812, 236812, 236778, 827, 623, 1201, 1083, 623, 117786, 22577, 62634, 48196, 26295, 827, 623, 17178, 236779, 89803, 1083, 236743, 236800, 236778, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 169538, 7607, 2100, 827, 623, 82675, 197313, 530, 59769, 152254, 3714, 20529, 236779, 547, 1083, 623, 3118, 15683, 236772, 236800, 236771, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 36257, 7940, 147074, 14629, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 3118, 15683, 4025, 7768, 23260, 99471, 1604, 623, 125595, 236779, 68995, 1083, 3714, 49156, 236779, 1289, 199316, 1083, 623, 236770, 236828, 236761, 236832, 70887, 623, 49156, 236779, 27495, 1083, 623, 236770, 236778, 236761, 236812, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 43852, 236779, 44340, 1083, 623, 236778, 236761, 236770, 12371, 568, 236832, 236778, 2929, 22730, 623, 1591, 236779, 1930, 236779, 18308, 1083, 623, 43897, 8459, 3432, 568, 5976, 21125, 779, 5158, 2338, 236743, 236778, 236771, 236770, 236828, 3399, 7972, 23179, 623, 500, 172189, 236779, 85038, 847, 1083, 11058, 178347, 4086, 49115, 607, 25985, 9295, 573, 2780, 20859, 827, 623, 143402, 45450, 20575, 573, 7274, 6211, 48038, 827, 623, 27753, 11734, 568, 33255, 586, 236768, 573, 2080, 236786, 27174, 19315, 827, 623, 155228, 6352, 11764, 10325, 768, 1890, 236810, 236771, 236908, 9644, 831, 529, 2970, 4535, 14255, 623, 1516, 236779, 116871, 831, 1083, 3714, 6265, 236779, 156796, 1083, 3714, 49156, 236779, 48691, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 106018, 236779, 1516, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 568, 138061, 5498, 22730, 623, 125595, 236779, 68995, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 568, 9238, 236772, 2289, 13064, 16291, 1263, 623, 58578, 236779, 8318, 1083, 236743, 236828, 236778, 236764, 623, 58578, 236779, 23184, 1083, 623, 166920, 10805, 528, 33984, 1262, 236793, 5840, 30745, 21405, 18756, 573, 2080, 236786, 27174, 19315, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 3671, 573, 506, 29936, 3399, 7972, 3432, 236787, 108, 1018, 236770, 236761, 48196, 19779, 30076, 568, 8782, 150417, 1473, 1018, 107, 236772, 5213, 22971, 53121, 236743, 236825, 236761, 236828, 568, 58591, 573, 1346, 16062, 236768, 107, 236772, 5213, 56094, 97523, 53121, 90434, 4535, 529, 646, 568, 236778, 236828, 52460, 779, 593, 568, 236770, 236810, 52460, 779, 751, 568, 236770, 236778, 236771, 52460, 236768, 107, 236772, 5213, 99969, 36085, 53121, 236743, 236778, 236761, 236770, 236908, 568, 174991, 2708, 573, 28229, 49115, 236768, 108, 1018, 236778, 236761, 2969, 18680, 161601, 53121, 107, 236772, 5213, 66825, 53121, 236743, 236800, 236778, 236771, 52460, 568, 236800, 236761, 236778, 236781, 46585, 17448, 4576, 236768, 753, 5213, 114954, 774, 1018, 107, 236772, 5213, 60244, 19315, 53121, 236743, 236810, 236761, 236778, 52460, 568, 236810, 236781, 114393, 7560, 79624, 236768, 753, 5213, 114954, 774, 1018, 107, 236772, 5213, 2023, 7561, 525, 53121, 236743, 236770, 236828, 52460, 568, 11582, 12057, 36351, 14272, 236768, 753, 5213, 166920, 1018, 107, 236772, 5213, 178430, 53121, 236743, 236771, 236761, 236810, 52460, 568, 12977, 1984, 236768, 108, 1018, 236800, 236761, 18592, 32288, 53121, 107, 236772, 48196, 148038, 236787, 236743, 236770, 236828, 236761, 236832, 236908, 568, 15466, 573, 29080, 236768, 107, 236772, 48196, 41382, 236787, 236743, 236770, 236778, 236761, 236812, 237366, 236780, 568, 80017, 531, 6247, 4535, 236768, 107, 236772, 34980, 193737, 236787, 236743, 236778, 236761, 236770, 236775, 568, 150217, 20511, 236768, 108, 1018, 236812, 236761, 45325, 91982, 53121, 107, 236772, 29936, 22577, 62634, 6410, 568, 236800, 236778, 236771, 236757, 3121, 236768, 4728, 4841, 12496, 107, 236772, 7123, 7940, 25591, 1262, 2487, 568, 236770, 236761, 236828, 11375, 3121, 236768, 108, 1018, 201430, 53121, 107, 236770, 236761, 5213, 15928, 583, 21405, 33582, 53121, 236743, 107, 139, 236772, 22282, 77372, 4796, 3671, 573, 2080, 236786, 27174, 19315, 1699, 22907, 7365, 107, 139, 236772, 7179, 573, 13187, 94309, 568, 11147, 528, 4937, 8459, 4106, 236768, 108, 236778, 236761, 5213, 56003, 522, 34428, 53121, 107, 139, 236772, 6890, 8675, 21622, 568, 236770, 236778, 13452, 8744, 236768, 607, 25985, 3980, 9295, 573, 212940, 107, 139, 236772, 15904, 5989, 16062, 528, 24032, 107, 139, 236772, 15748, 99710, 48702, 528, 34446, 21622, 108, 236800, 236761, 5213, 8762, 524, 9534, 28636, 53121, 107, 139, 236772, 30839, 22647, 45450, 531, 19953, 7274, 17257, 107, 139, 236772, 14066, 59019, 663, 172189, 607, 116487, 568, 1708, 2080, 236768, 107, 139, 236772, 4140, 44166, 531, 8175, 10293, 4217, 531, 236743, 236810, 236772, 236832, 236908, 108, 236812, 236761, 5213, 61569, 184790, 53121, 107, 139, 236772, 18471, 20825, 12627, 568, 111012, 9130, 900, 236743, 236825, 236775, 3980, 9295, 236768, 107, 139, 236772, 48741, 4841, 1526, 63174, 14996, 107, 139, 236772, 8600, 496, 9295, 7257, 14626, 568, 33255, 586, 11734, 236768, 108, 1018, 9272, 50228, 53121, 107, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 11858, 33984, 1262, 573, 28594, 15067, 236881, 107, 236778, 236761, 44906, 672, 3432, 531, 1032, 46585, 3399, 26318, 236881, 107, 236800, 236761, 39525, 9813, 98985, 2157, 14287, 236881, 108, 818, 1873, 1262, 12205, 50799, 60330, 753, 607, 2005, 45759, 236764, 672, 3432, 740, 1894, 6338, 25357, 3719, 236761, 21284, 611, 1133, 531, 11327, 1027, 529, 1239, 3835, 528, 919, 8052, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 9795, 496, 2263, 3399, 7972, 2203, 528, 29936, 974, 5508, 573, 29080, 236761, 2195, 1461, 531, 1594, 506, 9295, 3325, 532, 2426, 573, 1027, 33984, 1680, 6730, 16062, 236761, 564, 6950, 1041, 1695, 528, 105338, 8351, 4866, 532, 2506, 935, 10796, 1131, 5830, 672, 236888, 669, 7972, 563, 657, 5213, 236812, 236771, 236761, 236825, 236828, 236819, 236778, 237366, 646, 236764, 236743, 236832, 236800, 236761, 236819, 236812, 236812, 236778, 237366, 649, 1018, 568, 17868, 3319, 15375, 573, 496, 8541, 3541, 506, 29936, 22577, 62634, 769, 564, 1202, 531, 1281, 236787, 753, 14040, 9295, 9637, 568, 22971, 236764, 28935, 236768, 753, 2969, 18680, 4535, 568, 53767, 17257, 236764, 54612, 236768, 753, 18592, 5872, 1133, 20511, 236786, 27495, 564, 236858, 560, 6827, 9726, 9106, 1003, 3363, 531, 1161, 11858, 1262, 653, 1759, 236772, 2289, 37297, 236761, 669, 119309, 659, 22566, 1003, 8459, 67491, 699, 14942, 7088, 236761, 2900, 236858, 236751, 506, 1791, 5904, 531, 1161, 1590, 236881, 3574, 564, 1202, 1800, 1873, 532, 11858, 1262, 236881, 6542, 236764, 768, 993, 808, 511, 236829, 33984, 236764, 1217, 1093, 692, 1581, 203644, 606, 600, 236881, 2024, 7463, 1502, 607, 506, 1262, 1171, 236761, 3792, 786, 1281, 1144, 611, 740, 8091, 573, 672, 4563, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 3714, 8938, 1083, 236743, 236812, 236771, 236761, 236825, 236828, 236819, 236778, 236764, 623, 68520, 1083, 753, 236832, 236800, 236761, 236819, 236812, 236812, 236778, 1263, 623, 49156, 236779, 48691, 1083, 3714, 22971, 1083, 236743, 236825, 236761, 236828, 236764, 623, 34791, 236779, 72750, 1083, 623, 236778, 236761, 236770, 70887, 623, 186131, 1083, 623, 236778, 236828, 52460, 827, 623, 33726, 22315, 1083, 623, 236770, 236810, 52460, 827, 623, 14221, 27205, 1083, 623, 236770, 236778, 236771, 52460, 23179, 623, 106018, 236779, 66846, 1083, 3714, 40227, 1083, 3714, 5909, 1083, 623, 236800, 236778, 236771, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 114954, 774, 827, 623, 2064, 236779, 5909, 1083, 623, 169538, 48196, 29867, 6152, 236787, 236743, 236770, 236771, 236771, 52460, 568, 122537, 16291, 1263, 623, 213660, 1083, 3714, 5909, 1083, 623, 236770, 236828, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 166920, 827, 623, 2064, 236779, 5909, 1083, 623, 82675, 102593, 16575, 236787, 236743, 236778, 236771, 52460, 23179, 623, 1042, 23743, 1083, 3714, 5909, 1083, 623, 236771, 236761, 236810, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 26834, 23179, 623, 27174, 19315, 1083, 3714, 5909, 1083, 623, 236810, 236761, 236778, 52460, 827, 623, 37716, 236779, 10618, 1083, 623, 114954, 774, 827, 623, 2064, 236779, 5909, 1083, 623, 51961, 7560, 645, 7273, 236823, 236787, 236743, 236770, 52460, 236775, 5237, 623, 182119, 236779, 114613, 236779, 63817, 1083, 78493, 20529, 236779, 547, 1083, 623, 169538, 236772, 236771, 236812, 236771, 236825, 236828, 236819, 236778, 236832, 236800, 236819, 236812, 236812, 236778, 827, 623, 1201, 1083, 623, 117786, 22577, 62634, 48196, 26295, 827, 623, 17178, 236779, 89803, 1083, 236743, 236800, 236778, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 169538, 7607, 2100, 827, 623, 82675, 197313, 530, 59769, 152254, 3714, 20529, 236779, 547, 1083, 623, 3118, 15683, 236772, 236800, 236771, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 36257, 7940, 147074, 14629, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 3118, 15683, 4025, 7768, 23260, 99471, 1604, 623, 125595, 236779, 68995, 1083, 3714, 49156, 236779, 1289, 199316, 1083, 623, 236770, 236828, 236761, 236832, 70887, 623, 49156, 236779, 27495, 1083, 623, 236770, 236778, 236761, 236812, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 43852, 236779, 44340, 1083, 623, 236778, 236761, 236770, 12371, 568, 236832, 236778, 2929, 22730, 623, 1591, 236779, 1930, 236779, 18308, 1083, 623, 43897, 8459, 3432, 568, 5976, 21125, 779, 5158, 2338, 236743, 236778, 236771, 236770, 236828, 3399, 7972, 23179, 623, 500, 172189, 236779, 85038, 847, 1083, 11058, 178347, 4086, 49115, 607, 25985, 9295, 573, 2780, 20859, 827, 623, 143402, 45450, 20575, 573, 7274, 6211, 48038, 827, 623, 27753, 11734, 568, 33255, 586, 236768, 573, 2080, 236786, 27174, 19315, 827, 623, 155228, 6352, 11764, 10325, 768, 1890, 236810, 236771, 236908, 9644, 831, 529, 2970, 4535, 14255, 623, 1516, 236779, 116871, 831, 1083, 3714, 6265, 236779, 156796, 1083, 3714, 49156, 236779, 48691, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 106018, 236779, 1516, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 568, 138061, 5498, 22730, 623, 125595, 236779, 68995, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 568, 9238, 236772, 2289, 13064, 16291, 1263, 623, 58578, 236779, 8318, 1083, 236743, 236828, 236778, 236764, 623, 58578, 236779, 23184, 1083, 623, 166920, 10805, 528, 33984, 1262, 236793, 5840, 30745, 21405, 18756, 573, 2080, 236786, 27174, 19315, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 3671, 573, 506, 29936, 3399, 7972, 3432, 236787, 108, 1018, 236770, 236761, 48196, 19779, 30076, 568, 8782, 150417, 1473, 1018, 107, 236772, 5213, 22971, 53121, 236743, 236825, 236761, 236828, 568, 58591, 573, 1346, 16062, 236768, 107, 236772, 5213, 56094, 97523, 53121, 90434, 4535, 529, 646, 568, 236778, 236828, 52460, 779, 593, 568, 236770, 236810, 52460, 779, 751, 568, 236770, 236778, 236771, 52460, 236768, 107, 236772, 5213, 99969, 36085, 53121, 236743, 236778, 236761, 236770, 236908, 568, 174991, 2708, 573, 28229, 49115, 236768, 108, 1018, 236778, 236761, 2969, 18680, 161601, 53121, 107, 236772, 5213, 66825, 53121, 236743, 236800, 236778, 236771, 52460, 568, 236800, 236761, 236778, 236781, 46585, 17448, 4576, 236768, 753, 5213, 114954, 774, 1018, 107, 236772, 5213, 60244, 19315, 53121, 236743, 236810, 236761, 236778, 52460, 568, 236810, 236781, 114393, 7560, 79624, 236768, 753, 5213, 114954, 774, 1018, 107, 236772, 5213, 2023, 7561, 525, 53121, 236743, 236770, 236828, 52460, 568, 11582, 12057, 36351, 14272, 236768, 753, 5213, 166920, 1018, 107, 236772, 5213, 178430, 53121, 236743, 236771, 236761, 236810, 52460, 568, 12977, 1984, 236768, 108, 1018, 236800, 236761, 18592, 32288, 53121, 107, 236772, 48196, 148038, 236787, 236743, 236770, 236828, 236761, 236832, 236908, 568, 15466, 573, 29080, 236768, 107, 236772, 48196, 41382, 236787, 236743, 236770, 236778, 236761, 236812, 237366, 236780, 568, 80017, 531, 6247, 4535, 236768, 107, 236772, 34980, 193737, 236787, 236743, 236778, 236761, 236770, 236775, 568, 150217, 20511, 236768, 108, 1018, 236812, 236761, 45325, 91982, 53121, 107, 236772, 29936, 22577, 62634, 6410, 568, 236800, 236778, 236771, 236757, 3121, 236768, 4728, 4841, 12496, 107, 236772, 7123, 7940, 25591, 1262, 2487, 568, 236770, 236761, 236828, 11375, 3121, 236768, 108, 1018, 201430, 53121, 107, 236770, 236761, 5213, 15928, 583, 21405, 33582, 53121, 236743, 107, 139, 236772, 22282, 77372, 4796, 3671, 573, 2080, 236786, 27174, 19315, 1699, 22907, 7365, 107, 139, 236772, 7179, 573, 13187, 94309, 568, 11147, 528, 4937, 8459, 4106, 236768, 108, 236778, 236761, 5213, 56003, 522, 34428, 53121, 107, 139, 236772, 6890, 8675, 21622, 568, 236770, 236778, 13452, 8744, 236768, 607, 25985, 3980, 9295, 573, 212940, 107, 139, 236772, 15904, 5989, 16062, 528, 24032, 107, 139, 236772, 15748, 99710, 48702, 528, 34446, 21622, 108, 236800, 236761, 5213, 8762, 524, 9534, 28636, 53121, 107, 139, 236772, 30839, 22647, 45450, 531, 19953, 7274, 17257, 107, 139, 236772, 14066, 59019, 663, 172189, 607, 116487, 568, 1708, 2080, 236768, 107, 139, 236772, 4140, 44166, 531, 8175, 10293, 4217, 531, 236743, 236810, 236772, 236832, 236908, 108, 236812, 236761, 5213, 61569, 184790, 53121, 107, 139, 236772, 18471, 20825, 12627, 568, 111012, 9130, 900, 236743, 236825, 236775, 3980, 9295, 236768, 107, 139, 236772, 48741, 4841, 1526, 63174, 14996, 107, 139, 236772, 8600, 496, 9295, 7257, 14626, 568, 33255, 586, 11734, 236768, 108, 1018, 9272, 50228, 53121, 107, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 11858, 33984, 1262, 573, 28594, 15067, 236881, 107, 236778, 236761, 44906, 672, 3432, 531, 1032, 46585, 3399, 26318, 236881, 107, 236800, 236761, 39525, 9813, 98985, 2157, 14287, 236881, 108, 818, 1873, 1262, 12205, 50799, 60330, 753, 607, 2005, 45759, 236764, 672, 3432, 740, 1894, 6338, 25357, 3719, 236761, 21284, 611, 1133, 531, 11327, 1027, 529, 1239, 3835, 528, 919, 8052, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 34339, 506, 3433, 756, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236770, 236810, 236789, 699, 756, 78002, 236772, 8395, 236772, 21738, 236789, 6518, 531, 756, 8395, 236786, 21738, 236786, 78002, 236789, 6518, 236761, 106, 107, 105, 4368, 107, 818, 4209, 7087, 35322, 496, 3433, 699, 756, 78002, 236772, 8395, 236772, 21738, 236789, 531, 756, 8395, 236786, 21738, 236786, 78002, 236789, 6518, 236761, 3153, 236764, 7293, 529, 506, 3847, 6436, 568, 30718, 236779, 9619, 236764, 14820, 236779, 2305, 236764, 9279, 236779, 676, 236768, 659, 11844, 529, 14980, 3433, 53892, 6675, 236761, 236743, 108, 7925, 236787, 138, 107, 236777, 3914, 5467, 7352, 506, 3433, 6518, 1699, 506, 2487, 6436, 236761, 1599, 1093, 1202, 531, 24473, 95678, 506, 6237, 653, 1161, 496, 3433, 53892, 1292, 236786, 13205, 711, 9456, 1590, 236761, 1701, 2591, 236764, 756, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236770, 236810, 236789, 6775, 756, 236771, 236800, 236786, 236770, 236810, 236786, 236778, 236771, 236778, 236800, 6748, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 34339, 506, 3433, 756, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236770, 236810, 236789, 699, 756, 78002, 236772, 8395, 236772, 21738, 236789, 6518, 531, 756, 8395, 236786, 21738, 236786, 78002, 236789, 6518, 236761, 106, 107, 105, 4368, 107, 818, 4209, 7087, 35322, 496, 3433, 699, 756, 78002, 236772, 8395, 236772, 21738, 236789, 531, 756, 8395, 236786, 21738, 236786, 78002, 236789, 6518, 236761, 3153, 236764, 7293, 529, 506, 3847, 6436, 568, 30718, 236779, 9619, 236764, 14820, 236779, 2305, 236764, 9279, 236779, 676, 236768, 659, 11844, 529, 14980, 3433, 53892, 6675, 236761, 236743, 108, 7925, 236787, 138, 107, 236777, 3914, 5467, 7352, 506, 3433, 6518, 1699, 506, 2487, 6436, 236761, 1599, 1093, 1202, 531, 24473, 95678, 506, 6237, 653, 1161, 496, 3433, 53892, 1292, 236786, 13205, 711, 9456, 1590, 236761, 1701, 2591, 236764, 756, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236770, 236810, 236789, 6775, 756, 236771, 236800, 236786, 236770, 236810, 236786, 236778, 236771, 236778, 236800, 6748, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 1900, 93107, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 1385, 872, 6387, 4889, 768, 611, 2847, 496, 3822, 532, 5588, 1051, 236761, 21284, 611, 1133, 1938, 1003, 496, 6387, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 1900, 93107, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 1385, 872, 6387, 4889, 768, 611, 2847, 496, 3822, 532, 5588, 1051, 236761, 21284, 611, 1133, 1938, 1003, 496, 6387, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 2731, 855, 1041, 170165, 3195, 10368, 573, 506, 2148, 2321, 3794, 236761, 3199, 611, 2426, 1144, 1237, 20720, 659, 528, 506, 2590, 573, 672, 1051, 834, 564, 1281, 837, 2668, 564, 1374, 2731, 2101, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236825, 827, 623, 1201, 1083, 623, 44691, 36938, 6065, 13297, 236761, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236778, 236771, 827, 623, 1201, 1083, 623, 42804, 236789, 236751, 41643, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236778, 236819, 827, 623, 1201, 1083, 623, 135831, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 1201, 1083, 623, 40885, 41356, 4025, 44506, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236812, 827, 623, 1201, 1083, 623, 219550, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236812, 827, 623, 1201, 1083, 623, 63651, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 1201, 1083, 623, 205192, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236770, 827, 623, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236800, 827, 623, 1201, 1083, 623, 12879, 24502, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236778, 236810, 827, 623, 1201, 1083, 623, 35966, 6156, 827, 623, 2084, 1083, 623, 2153, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 7933, 1237, 20720, 528, 506, 3640, 4184, 573, 5213, 236778, 236771, 236778, 236800, 1018, 600, 611, 1374, 2731, 2101, 573, 822, 170165, 3195, 10368, 236787, 108, 236772, 5213, 36302, 236743, 236770, 66515, 1799, 8799, 236789, 236751, 6156, 138, 107, 236772, 5213, 36302, 236743, 236770, 236825, 66515, 11393, 36938, 6065, 13297, 236761, 6156, 138, 107, 236772, 5213, 37207, 236743, 236778, 236771, 66515, 7693, 236789, 236751, 41643, 138, 107, 236772, 5213, 12055, 236743, 236778, 236819, 66515, 23563, 6156, 138, 107, 236772, 5213, 27403, 236743, 236770, 236819, 66515, 13067, 41356, 4025, 44506, 6156, 138, 107, 236772, 5213, 30211, 236743, 236812, 66515, 44506, 6156, 138, 107, 236772, 5213, 36022, 236743, 236812, 66515, 11712, 6156, 138, 107, 236772, 5213, 36817, 236743, 236819, 66515, 39560, 6156, 138, 107, 236772, 5213, 36956, 236743, 236770, 236770, 66515, 49480, 6156, 138, 107, 236772, 5213, 36956, 236743, 236778, 236800, 66515, 44694, 6156, 138, 107, 236772, 5213, 36471, 236743, 236778, 236810, 66515, 8226, 6156, 138, 108, 10282, 236787, 4943, 5022, 1149, 15739, 4767, 2263, 20720, 236764, 834, 611, 2473, 1461, 531, 16807, 10969, 72320, 573, 822, 2433, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 35447, 822, 10368, 2101, 1239, 14069, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 7933, 20720, 236761, 4224, 236764, 740, 611, 2426, 1144, 20720, 659, 3530, 531, 21436, 573, 672, 1051, 236881, 564, 1202, 531, 1281, 768, 993, 659, 1027, 2263, 2668, 1135, 564, 1374, 2731, 2101, 573, 1041, 3195, 3432, 528, 19662, 236761, 106, 107, 105, 4368, 107, 818, 1237, 20720, 5904, 5633, 1186, 4728, 5213, 147304, 20720, 1018, 573, 506, 3640, 4184, 568, 14801, 236772, 5909, 1262, 769, 1030, 1677, 711, 1894, 1883, 236772, 15396, 20720, 1133, 1724, 528, 21436, 236761, 236743, 108, 2542, 21436, 236772, 15396, 20720, 568, 236744, 236761, 236759, 1126, 2263, 3329, 2499, 1133, 623, 12407, 147348, 236789, 6156, 236775, 653, 1032, 1883, 236772, 169470, 2668, 1135, 779, 611, 236789, 859, 1202, 531, 6618, 5125, 1883, 5405, 1288, 618, 236787, 138, 107, 236772, 870, 147307, 6110, 84085, 11338, 5457, 2574, 1411, 2769, 236761, 4423, 236761, 12561, 236786, 36379, 236786, 3255, 236772, 5805, 17109, 31004, 138, 107, 236772, 19662, 4085, 3251, 55470, 573, 2263, 20720, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1601, 611, 1586, 496, 1982, 3205, 531, 21436, 236789, 236751, 5125, 10940, 14626, 236764, 653, 6361, 607, 4658, 1663, 573, 822, 170165, 10368, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 236789, 560, 15593, 506, 21436, 1883, 3251, 4456, 573, 236743, 236778, 236771, 236778, 236800, 20720, 236761, 5715, 236789, 236751, 1144, 564, 1765, 573, 19662, 236772, 15396, 3329, 2499, 236787, 108, 236772, 5213, 36817, 236743, 236770, 236771, 66515, 19662, 4085, 43571, 6156, 568, 116773, 684, 3207, 3251, 15913, 532, 7958, 236768, 138, 107, 236772, 5213, 36956, 236743, 236770, 236770, 66515, 49480, 6156, 568, 147304, 10940, 236764, 3016, 9456, 236768, 138, 107, 236772, 5213, 36471, 236743, 236778, 236825, 66515, 6156, 1308, 8226, 568, 116773, 684, 1070, 3207, 21235, 236764, 3635, 711, 496, 2587, 1237, 10940, 236768, 138, 108, 10282, 236787, 19662, 1677, 711, 735, 4767, 1883, 236772, 169470, 20720, 6998, 7933, 5906, 236764, 840, 4085, 43571, 6156, 563, 496, 24786, 2263, 127009, 573, 19312, 7683, 236761, 1701, 5431, 7088, 236764, 1346, 2147, 34674, 1500, 7933, 20720, 8423, 9155, 684, 506, 2203, 8123, 236761, 21284, 611, 1133, 786, 531, 1601, 2619, 496, 170165, 10368, 600, 10789, 573, 1800, 7933, 532, 19662, 236772, 15396, 3329, 2499, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3582, 12323, 529, 784, 7798, 20720, 532, 3329, 2499, 573, 822, 170165, 3195, 528, 5213, 104561, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 2721, 580, 7933, 532, 2263, 1262, 236787, 108, 7243, 108, 10354, 5213, 50797, 84085, 568, 116645, 5773, 684, 1346, 34674, 62902, 138, 107, 236772, 5213, 18125, 236743, 236770, 66515, 1799, 8799, 236858, 236751, 6156, 138, 107, 236772, 5213, 18125, 236743, 236770, 236825, 66515, 11393, 36938, 6065, 13297, 236761, 6156, 138, 107, 236772, 5213, 24631, 236743, 236778, 236771, 66515, 7693, 236858, 236751, 41643, 138, 107, 236772, 5213, 12055, 236743, 236778, 236819, 66515, 23563, 6156, 138, 107, 236772, 5213, 40885, 236743, 236770, 236819, 66515, 13067, 41356, 138, 107, 236772, 5213, 30588, 236743, 236812, 66515, 44506, 6156, 138, 107, 236772, 5213, 24683, 236743, 236812, 66515, 11712, 6156, 138, 107, 236772, 5213, 20123, 236743, 236819, 66515, 39560, 6156, 138, 107, 236772, 5213, 29097, 236743, 236770, 236770, 66515, 49480, 6156, 138, 107, 236772, 5213, 29097, 236743, 236778, 236800, 66515, 44694, 6156, 138, 107, 236772, 5213, 8724, 236743, 236778, 236810, 66515, 8226, 6156, 138, 108, 10354, 5213, 104561, 236772, 46163, 22192, 2499, 1018, 138, 107, 236772, 5213, 20123, 236743, 236770, 236771, 66515, 19662, 4085, 43571, 6156, 46260, 13319, 15913, 236786, 111671, 6535, 236793, 2426, 768, 822, 2203, 563, 3207, 236772, 10619, 12016, 138, 107, 236772, 5213, 8724, 236743, 236778, 236825, 66515, 6156, 1308, 8226, 46260, 2217, 496, 7933, 10940, 236764, 840, 1070, 3207, 21235, 3107, 236793, 2147, 34674, 1149, 653, 1149, 711, 15739, 672, 12016, 138, 108, 7243, 108, 10354, 5213, 3503, 24118, 573, 22039, 153025, 1018, 138, 107, 236772, 7660, 2147, 5431, 5699, 1500, 5213, 147304, 20720, 1186, 84750, 138, 107, 236772, 1637, 822, 2203, 13842, 5213, 13319, 236772, 16761, 3670, 653, 3207, 16374, 125546, 3204, 5213, 17698, 43571, 6156, 568, 20123, 236743, 236770, 236771, 62902, 618, 496, 3435, 1719, 1135, 236761, 138, 107, 236772, 5213, 8724, 236743, 236778, 236825, 1018, 563, 20390, 496, 2587, 41826, 573, 5431, 8423, 9155, 684, 822, 2203, 8123, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2619, 496, 5213, 12697, 1662, 170165, 10368, 1018, 573, 822, 2203, 236881, 1637, 834, 236764, 5091, 4024, 236787, 138, 107, 236772, 7879, 1502, 3433, 138, 107, 236772, 69850, 12032, 568, 236744, 236761, 236759, 1126, 236743, 236825, 5695, 236764, 236743, 236800, 3794, 236768, 138, 107, 236772, 16019, 625, 236858, 236751, 496, 5213, 13319, 2203, 1018, 653, 5213, 7128, 4258, 1018, 138, 108, 236777, 236858, 859, 4187, 855, 4453, 2844, 2668, 532, 20720, 531, 5571, 30583, 236888, 236743, 247975, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 2731, 855, 1041, 170165, 3195, 10368, 573, 506, 2148, 2321, 3794, 236761, 3199, 611, 2426, 1144, 1237, 20720, 659, 528, 506, 2590, 573, 672, 1051, 834, 564, 1281, 837, 2668, 564, 1374, 2731, 2101, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236825, 827, 623, 1201, 1083, 623, 44691, 36938, 6065, 13297, 236761, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236778, 236771, 827, 623, 1201, 1083, 623, 42804, 236789, 236751, 41643, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236778, 236819, 827, 623, 1201, 1083, 623, 135831, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 1201, 1083, 623, 40885, 41356, 4025, 44506, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236812, 827, 623, 1201, 1083, 623, 219550, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236812, 827, 623, 1201, 1083, 623, 63651, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 1201, 1083, 623, 205192, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236770, 827, 623, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236800, 827, 623, 1201, 1083, 623, 12879, 24502, 6156, 827, 623, 2084, 1083, 623, 2153, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236778, 236810, 827, 623, 1201, 1083, 623, 35966, 6156, 827, 623, 2084, 1083, 623, 2153, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 7933, 1237, 20720, 528, 506, 3640, 4184, 573, 5213, 236778, 236771, 236778, 236800, 1018, 600, 611, 1374, 2731, 2101, 573, 822, 170165, 3195, 10368, 236787, 108, 236772, 5213, 36302, 236743, 236770, 66515, 1799, 8799, 236789, 236751, 6156, 138, 107, 236772, 5213, 36302, 236743, 236770, 236825, 66515, 11393, 36938, 6065, 13297, 236761, 6156, 138, 107, 236772, 5213, 37207, 236743, 236778, 236771, 66515, 7693, 236789, 236751, 41643, 138, 107, 236772, 5213, 12055, 236743, 236778, 236819, 66515, 23563, 6156, 138, 107, 236772, 5213, 27403, 236743, 236770, 236819, 66515, 13067, 41356, 4025, 44506, 6156, 138, 107, 236772, 5213, 30211, 236743, 236812, 66515, 44506, 6156, 138, 107, 236772, 5213, 36022, 236743, 236812, 66515, 11712, 6156, 138, 107, 236772, 5213, 36817, 236743, 236819, 66515, 39560, 6156, 138, 107, 236772, 5213, 36956, 236743, 236770, 236770, 66515, 49480, 6156, 138, 107, 236772, 5213, 36956, 236743, 236778, 236800, 66515, 44694, 6156, 138, 107, 236772, 5213, 36471, 236743, 236778, 236810, 66515, 8226, 6156, 138, 108, 10282, 236787, 4943, 5022, 1149, 15739, 4767, 2263, 20720, 236764, 834, 611, 2473, 1461, 531, 16807, 10969, 72320, 573, 822, 2433, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 35447, 822, 10368, 2101, 1239, 14069, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 7933, 20720, 236761, 4224, 236764, 740, 611, 2426, 1144, 20720, 659, 3530, 531, 21436, 573, 672, 1051, 236881, 564, 1202, 531, 1281, 768, 993, 659, 1027, 2263, 2668, 1135, 564, 1374, 2731, 2101, 573, 1041, 3195, 3432, 528, 19662, 236761, 106, 107, 105, 4368, 107, 818, 1237, 20720, 5904, 5633, 1186, 4728, 5213, 147304, 20720, 1018, 573, 506, 3640, 4184, 568, 14801, 236772, 5909, 1262, 769, 1030, 1677, 711, 1894, 1883, 236772, 15396, 20720, 1133, 1724, 528, 21436, 236761, 236743, 108, 2542, 21436, 236772, 15396, 20720, 568, 236744, 236761, 236759, 1126, 2263, 3329, 2499, 1133, 623, 12407, 147348, 236789, 6156, 236775, 653, 1032, 1883, 236772, 169470, 2668, 1135, 779, 611, 236789, 859, 1202, 531, 6618, 5125, 1883, 5405, 1288, 618, 236787, 138, 107, 236772, 870, 147307, 6110, 84085, 11338, 5457, 2574, 1411, 2769, 236761, 4423, 236761, 12561, 236786, 36379, 236786, 3255, 236772, 5805, 17109, 31004, 138, 107, 236772, 19662, 4085, 3251, 55470, 573, 2263, 20720, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1601, 611, 1586, 496, 1982, 3205, 531, 21436, 236789, 236751, 5125, 10940, 14626, 236764, 653, 6361, 607, 4658, 1663, 573, 822, 170165, 10368, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 236789, 560, 15593, 506, 21436, 1883, 3251, 4456, 573, 236743, 236778, 236771, 236778, 236800, 20720, 236761, 5715, 236789, 236751, 1144, 564, 1765, 573, 19662, 236772, 15396, 3329, 2499, 236787, 108, 236772, 5213, 36817, 236743, 236770, 236771, 66515, 19662, 4085, 43571, 6156, 568, 116773, 684, 3207, 3251, 15913, 532, 7958, 236768, 138, 107, 236772, 5213, 36956, 236743, 236770, 236770, 66515, 49480, 6156, 568, 147304, 10940, 236764, 3016, 9456, 236768, 138, 107, 236772, 5213, 36471, 236743, 236778, 236825, 66515, 6156, 1308, 8226, 568, 116773, 684, 1070, 3207, 21235, 236764, 3635, 711, 496, 2587, 1237, 10940, 236768, 138, 108, 10282, 236787, 19662, 1677, 711, 735, 4767, 1883, 236772, 169470, 20720, 6998, 7933, 5906, 236764, 840, 4085, 43571, 6156, 563, 496, 24786, 2263, 127009, 573, 19312, 7683, 236761, 1701, 5431, 7088, 236764, 1346, 2147, 34674, 1500, 7933, 20720, 8423, 9155, 684, 506, 2203, 8123, 236761, 21284, 611, 1133, 786, 531, 1601, 2619, 496, 170165, 10368, 600, 10789, 573, 1800, 7933, 532, 19662, 236772, 15396, 3329, 2499, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3582, 12323, 529, 784, 7798, 20720, 532, 3329, 2499, 573, 822, 170165, 3195, 528, 5213, 104561, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 2721, 580, 7933, 532, 2263, 1262, 236787, 108, 7243, 108, 10354, 5213, 50797, 84085, 568, 116645, 5773, 684, 1346, 34674, 62902, 138, 107, 236772, 5213, 18125, 236743, 236770, 66515, 1799, 8799, 236858, 236751, 6156, 138, 107, 236772, 5213, 18125, 236743, 236770, 236825, 66515, 11393, 36938, 6065, 13297, 236761, 6156, 138, 107, 236772, 5213, 24631, 236743, 236778, 236771, 66515, 7693, 236858, 236751, 41643, 138, 107, 236772, 5213, 12055, 236743, 236778, 236819, 66515, 23563, 6156, 138, 107, 236772, 5213, 40885, 236743, 236770, 236819, 66515, 13067, 41356, 138, 107, 236772, 5213, 30588, 236743, 236812, 66515, 44506, 6156, 138, 107, 236772, 5213, 24683, 236743, 236812, 66515, 11712, 6156, 138, 107, 236772, 5213, 20123, 236743, 236819, 66515, 39560, 6156, 138, 107, 236772, 5213, 29097, 236743, 236770, 236770, 66515, 49480, 6156, 138, 107, 236772, 5213, 29097, 236743, 236778, 236800, 66515, 44694, 6156, 138, 107, 236772, 5213, 8724, 236743, 236778, 236810, 66515, 8226, 6156, 138, 108, 10354, 5213, 104561, 236772, 46163, 22192, 2499, 1018, 138, 107, 236772, 5213, 20123, 236743, 236770, 236771, 66515, 19662, 4085, 43571, 6156, 46260, 13319, 15913, 236786, 111671, 6535, 236793, 2426, 768, 822, 2203, 563, 3207, 236772, 10619, 12016, 138, 107, 236772, 5213, 8724, 236743, 236778, 236825, 66515, 6156, 1308, 8226, 46260, 2217, 496, 7933, 10940, 236764, 840, 1070, 3207, 21235, 3107, 236793, 2147, 34674, 1149, 653, 1149, 711, 15739, 672, 12016, 138, 108, 7243, 108, 10354, 5213, 3503, 24118, 573, 22039, 153025, 1018, 138, 107, 236772, 7660, 2147, 5431, 5699, 1500, 5213, 147304, 20720, 1186, 84750, 138, 107, 236772, 1637, 822, 2203, 13842, 5213, 13319, 236772, 16761, 3670, 653, 3207, 16374, 125546, 3204, 5213, 17698, 43571, 6156, 568, 20123, 236743, 236770, 236771, 62902, 618, 496, 3435, 1719, 1135, 236761, 138, 107, 236772, 5213, 8724, 236743, 236778, 236825, 1018, 563, 20390, 496, 2587, 41826, 573, 5431, 8423, 9155, 684, 822, 2203, 8123, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2619, 496, 5213, 12697, 1662, 170165, 10368, 1018, 573, 822, 2203, 236881, 1637, 834, 236764, 5091, 4024, 236787, 138, 107, 236772, 7879, 1502, 3433, 138, 107, 236772, 69850, 12032, 568, 236744, 236761, 236759, 1126, 236743, 236825, 5695, 236764, 236743, 236800, 3794, 236768, 138, 107, 236772, 16019, 625, 236858, 236751, 496, 5213, 13319, 2203, 1018, 653, 5213, 7128, 4258, 1018, 138, 108, 236777, 236858, 859, 4187, 855, 4453, 2844, 2668, 532, 20720, 531, 5571, 30583, 236888, 236743, 247975, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 822, 1601, 16329, 768, 496, 4456, 8610, 563, 6338, 573, 1041, 205080, 236761, 564, 236789, 236757, 6514, 872, 496, 154213, 18669, 573, 1091, 532, 1765, 496, 3432, 607, 9989, 236772, 18865, 2203, 6549, 236764, 840, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 2196, 529, 42467, 3004, 236761, 28344, 611, 2426, 768, 623, 5168, 25421, 1708, 36244, 60265, 236761, 854, 236775, 7412, 528, 1027, 3004, 88374, 34438, 236881, 564, 236789, 859, 1202, 531, 1281, 768, 625, 236789, 236751, 85859, 573, 14481, 2561, 1680, 11211, 625, 607, 910, 6296, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98542, 1083, 2416, 236764, 623, 21052, 1083, 3714, 27975, 236779, 48977, 1083, 11058, 10774, 827, 623, 52531, 14255, 623, 18624, 236779, 4406, 1083, 623, 236766, 236778, 236771, 236778, 236812, 236761, 236800, 827, 623, 25699, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236825, 1807, 106, 107, 105, 4368, 107, 818, 8610, 623, 5168, 25421, 1708, 36244, 60265, 236761, 854, 236775, 563, 5213, 2217, 26638, 1018, 528, 3004, 88374, 34438, 236761, 5137, 2426, 8323, 506, 2269, 2536, 236787, 138, 108, 236772, 5213, 44576, 25134, 66515, 12831, 236764, 9426, 568, 212431, 3911, 236772, 33562, 3004, 236768, 138, 107, 236772, 5213, 229806, 6317, 66515, 236743, 236819, 236825, 236908, 568, 11480, 21016, 528, 506, 15241, 236768, 138, 107, 236772, 5213, 17140, 3567, 66515, 566, 236778, 236771, 236778, 236812, 236761, 236800, 568, 4002, 618, 529, 3353, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 236772, 5213, 36401, 31115, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 59528, 138, 108, 2094, 12205, 506, 4456, 563, 6338, 236764, 2523, 236772, 18865, 236764, 532, 9273, 573, 2940, 236761, 1599, 740, 79269, 4024, 625, 607, 822, 205080, 532, 910, 6296, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 16807, 2264, 8610, 236888, 236743, 247975, 238178, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 8863, 573, 49378, 623, 5168, 25421, 1708, 36244, 60265, 236761, 854, 236775, 563, 6338, 236888, 5978, 35329, 2203, 6614, 236764, 564, 1765, 2264, 3432, 236787, 5213, 236775, 5168, 2025, 45689, 2643, 236761, 693, 236775, 1018, 568, 236746, 41082, 6511, 573, 23060, 154213, 769, 28344, 611, 2426, 768, 672, 8610, 7412, 528, 808, 58930, 236829, 506, 35333, 3004, 7948, 808, 504, 236829, 3004, 88374, 3797, 236881, 564, 236858, 236753, 1133, 531, 4024, 6672, 41082, 11803, 607, 1041, 205080, 236764, 840, 564, 1461, 531, 5330, 506, 3432, 563, 2523, 236772, 18865, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 4889, 236888, 236743, 247221, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98542, 1083, 2416, 236764, 623, 27388, 1083, 623, 31212, 711, 1765, 528, 35333, 3004, 7948, 827, 623, 19645, 1083, 623, 5168, 2025, 45689, 2643, 236761, 693, 827, 623, 3955, 236779, 2084, 1083, 623, 164003, 236786, 223420, 827, 623, 19859, 1083, 623, 227601, 827, 623, 22011, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236812, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 8610, 5213, 236775, 5168, 2025, 45689, 2643, 236761, 693, 236775, 1018, 815, 1010, 15593, 2342, 35333, 3004, 34438, 532, 3004, 88374, 3797, 236761, 5715, 236789, 236751, 506, 1354, 236787, 138, 108, 236772, 5213, 210872, 4981, 66515, 236743, 242523, 3790, 26638, 138, 107, 236772, 5213, 4795, 1722, 66515, 43600, 236786, 223420, 568, 4647, 607, 6672, 154213, 4993, 236768, 138, 107, 236772, 5213, 28040, 66515, 41082, 568, 25541, 506, 3432, 236789, 236751, 10969, 3213, 236768, 138, 107, 236772, 5213, 9008, 15593, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236743, 236770, 236810, 236787, 236812, 236778, 236787, 236800, 236771, 59528, 138, 108, 818, 3432, 7412, 531, 577, 2523, 236772, 18865, 532, 6780, 573, 11211, 6672, 41082, 154213, 11803, 607, 822, 205080, 236761, 2301, 2604, 22680, 964, 1765, 528, 1061, 28436, 236761, 21284, 611, 1133, 531, 16807, 2264, 8610, 236881, 236743, 254868, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 14756, 822, 13868, 17507, 834, 2793, 236888, 5978, 17373, 496, 16183, 580, 23060, 154213, 8403, 236764, 564, 3588, 3418, 5213, 236775, 223420, 95082, 8482, 236761, 2187, 236775, 1018, 237028, 236746, 3432, 9722, 2196, 6614, 573, 6672, 6693, 5699, 236764, 2440, 41082, 11803, 236761, 28344, 611, 16807, 768, 672, 8610, 563, 85859, 528, 808, 58930, 236829, 506, 35333, 3004, 7948, 808, 504, 236829, 506, 3004, 88374, 1458, 236881, 564, 236858, 236753, 1133, 531, 5330, 625, 236858, 236751, 6338, 1680, 2440, 625, 528, 506, 18669, 5417, 236761, 1701, 4403, 236764, 564, 236858, 236757, 96085, 5405, 600, 22064, 56241, 12466, 607, 9226, 23060, 236764, 1623, 1133, 1041, 1852, 1695, 236761, 3792, 786, 1281, 822, 12396, 236888, 236743, 246978, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98542, 1083, 2416, 236764, 623, 21052, 1083, 3714, 1045, 199278, 236779, 18624, 236779, 10480, 1083, 2416, 236764, 623, 3955, 236779, 153175, 567, 236779, 16213, 1083, 1847, 236764, 623, 16213, 3701, 236779, 27975, 1083, 11058, 50771, 23060, 14255, 623, 2064, 236779, 15979, 1083, 623, 79050, 3540, 10325, 573, 12524, 4403, 127096, 106, 107, 105, 4368, 107, 818, 8610, 5213, 236775, 223420, 95082, 8482, 236761, 2187, 236775, 1018, 815, 1010, 18212, 3418, 5646, 34438, 607, 506, 2269, 2536, 236787, 138, 108, 236772, 5213, 210872, 4981, 66515, 236743, 242523, 3790, 26638, 528, 35333, 3004, 34438, 236761, 138, 107, 236772, 5213, 4795, 88374, 8134, 66515, 236743, 195096, 28733, 3701, 1208, 5213, 236775, 50771, 23060, 236775, 1018, 8038, 236761, 138, 107, 236772, 5213, 4396, 3149, 66515, 29912, 3540, 10325, 531, 5330, 25000, 607, 12524, 7675, 236761, 138, 108, 10354, 9533, 20303, 236787, 138, 107, 236772, 5213, 1489, 199278, 7948, 4241, 66515, 2301, 14481, 2561, 13207, 236761, 138, 107, 236772, 5213, 18574, 61064, 66515, 669, 623, 50771, 23060, 236775, 193439, 12205, 3004, 1149, 3204, 11858, 653, 6672, 10154, 568, 236744, 236761, 236759, 1126, 6693, 154213, 4615, 236768, 600, 1660, 58344, 3540, 573, 3911, 236772, 27053, 98894, 236761, 138, 107, 236772, 5213, 9272, 6555, 66515, 5612, 822, 18669, 21132, 580, 56241, 900, 9226, 23060, 236764, 564, 5840, 21485, 35329, 506, 3432, 236858, 236751, 5417, 531, 9128, 901, 4241, 822, 12524, 9703, 236761, 138, 108, 38786, 611, 1133, 1601, 32187, 3530, 3004, 699, 506, 3432, 236764, 653, 16329, 2264, 8610, 236881, 236743, 244878, 251688, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 822, 1601, 16329, 768, 496, 4456, 8610, 563, 6338, 573, 1041, 205080, 236761, 564, 236789, 236757, 6514, 872, 496, 154213, 18669, 573, 1091, 532, 1765, 496, 3432, 607, 9989, 236772, 18865, 2203, 6549, 236764, 840, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 2196, 529, 42467, 3004, 236761, 28344, 611, 2426, 768, 623, 5168, 25421, 1708, 36244, 60265, 236761, 854, 236775, 7412, 528, 1027, 3004, 88374, 34438, 236881, 564, 236789, 859, 1202, 531, 1281, 768, 625, 236789, 236751, 85859, 573, 14481, 2561, 1680, 11211, 625, 607, 910, 6296, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98542, 1083, 2416, 236764, 623, 21052, 1083, 3714, 27975, 236779, 48977, 1083, 11058, 10774, 827, 623, 52531, 14255, 623, 18624, 236779, 4406, 1083, 623, 236766, 236778, 236771, 236778, 236812, 236761, 236800, 827, 623, 25699, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236825, 1807, 106, 107, 105, 4368, 107, 818, 8610, 623, 5168, 25421, 1708, 36244, 60265, 236761, 854, 236775, 563, 5213, 2217, 26638, 1018, 528, 3004, 88374, 34438, 236761, 5137, 2426, 8323, 506, 2269, 2536, 236787, 138, 108, 236772, 5213, 44576, 25134, 66515, 12831, 236764, 9426, 568, 212431, 3911, 236772, 33562, 3004, 236768, 138, 107, 236772, 5213, 229806, 6317, 66515, 236743, 236819, 236825, 236908, 568, 11480, 21016, 528, 506, 15241, 236768, 138, 107, 236772, 5213, 17140, 3567, 66515, 566, 236778, 236771, 236778, 236812, 236761, 236800, 568, 4002, 618, 529, 3353, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 236772, 5213, 36401, 31115, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 59528, 138, 108, 2094, 12205, 506, 4456, 563, 6338, 236764, 2523, 236772, 18865, 236764, 532, 9273, 573, 2940, 236761, 1599, 740, 79269, 4024, 625, 607, 822, 205080, 532, 910, 6296, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 16807, 2264, 8610, 236888, 236743, 247975, 238178, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 8863, 573, 49378, 623, 5168, 25421, 1708, 36244, 60265, 236761, 854, 236775, 563, 6338, 236888, 5978, 35329, 2203, 6614, 236764, 564, 1765, 2264, 3432, 236787, 5213, 236775, 5168, 2025, 45689, 2643, 236761, 693, 236775, 1018, 568, 236746, 41082, 6511, 573, 23060, 154213, 769, 28344, 611, 2426, 768, 672, 8610, 7412, 528, 808, 58930, 236829, 506, 35333, 3004, 7948, 808, 504, 236829, 3004, 88374, 3797, 236881, 564, 236858, 236753, 1133, 531, 4024, 6672, 41082, 11803, 607, 1041, 205080, 236764, 840, 564, 1461, 531, 5330, 506, 3432, 563, 2523, 236772, 18865, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 4889, 236888, 236743, 247221, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98542, 1083, 2416, 236764, 623, 27388, 1083, 623, 31212, 711, 1765, 528, 35333, 3004, 7948, 827, 623, 19645, 1083, 623, 5168, 2025, 45689, 2643, 236761, 693, 827, 623, 3955, 236779, 2084, 1083, 623, 164003, 236786, 223420, 827, 623, 19859, 1083, 623, 227601, 827, 623, 22011, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236812, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 8610, 5213, 236775, 5168, 2025, 45689, 2643, 236761, 693, 236775, 1018, 815, 1010, 15593, 2342, 35333, 3004, 34438, 532, 3004, 88374, 3797, 236761, 5715, 236789, 236751, 506, 1354, 236787, 138, 108, 236772, 5213, 210872, 4981, 66515, 236743, 242523, 3790, 26638, 138, 107, 236772, 5213, 4795, 1722, 66515, 43600, 236786, 223420, 568, 4647, 607, 6672, 154213, 4993, 236768, 138, 107, 236772, 5213, 28040, 66515, 41082, 568, 25541, 506, 3432, 236789, 236751, 10969, 3213, 236768, 138, 107, 236772, 5213, 9008, 15593, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236743, 236770, 236810, 236787, 236812, 236778, 236787, 236800, 236771, 59528, 138, 108, 818, 3432, 7412, 531, 577, 2523, 236772, 18865, 532, 6780, 573, 11211, 6672, 41082, 154213, 11803, 607, 822, 205080, 236761, 2301, 2604, 22680, 964, 1765, 528, 1061, 28436, 236761, 21284, 611, 1133, 531, 16807, 2264, 8610, 236881, 236743, 254868, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 14756, 822, 13868, 17507, 834, 2793, 236888, 5978, 17373, 496, 16183, 580, 23060, 154213, 8403, 236764, 564, 3588, 3418, 5213, 236775, 223420, 95082, 8482, 236761, 2187, 236775, 1018, 237028, 236746, 3432, 9722, 2196, 6614, 573, 6672, 6693, 5699, 236764, 2440, 41082, 11803, 236761, 28344, 611, 16807, 768, 672, 8610, 563, 85859, 528, 808, 58930, 236829, 506, 35333, 3004, 7948, 808, 504, 236829, 506, 3004, 88374, 1458, 236881, 564, 236858, 236753, 1133, 531, 5330, 625, 236858, 236751, 6338, 1680, 2440, 625, 528, 506, 18669, 5417, 236761, 1701, 4403, 236764, 564, 236858, 236757, 96085, 5405, 600, 22064, 56241, 12466, 607, 9226, 23060, 236764, 1623, 1133, 1041, 1852, 1695, 236761, 3792, 786, 1281, 822, 12396, 236888, 236743, 246978, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98542, 1083, 2416, 236764, 623, 21052, 1083, 3714, 1045, 199278, 236779, 18624, 236779, 10480, 1083, 2416, 236764, 623, 3955, 236779, 153175, 567, 236779, 16213, 1083, 1847, 236764, 623, 16213, 3701, 236779, 27975, 1083, 11058, 50771, 23060, 14255, 623, 2064, 236779, 15979, 1083, 623, 79050, 3540, 10325, 573, 12524, 4403, 127096, 106, 107, 105, 4368, 107, 818, 8610, 5213, 236775, 223420, 95082, 8482, 236761, 2187, 236775, 1018, 815, 1010, 18212, 3418, 5646, 34438, 607, 506, 2269, 2536, 236787, 138, 108, 236772, 5213, 210872, 4981, 66515, 236743, 242523, 3790, 26638, 528, 35333, 3004, 34438, 236761, 138, 107, 236772, 5213, 4795, 88374, 8134, 66515, 236743, 195096, 28733, 3701, 1208, 5213, 236775, 50771, 23060, 236775, 1018, 8038, 236761, 138, 107, 236772, 5213, 4396, 3149, 66515, 29912, 3540, 10325, 531, 5330, 25000, 607, 12524, 7675, 236761, 138, 108, 10354, 9533, 20303, 236787, 138, 107, 236772, 5213, 1489, 199278, 7948, 4241, 66515, 2301, 14481, 2561, 13207, 236761, 138, 107, 236772, 5213, 18574, 61064, 66515, 669, 623, 50771, 23060, 236775, 193439, 12205, 3004, 1149, 3204, 11858, 653, 6672, 10154, 568, 236744, 236761, 236759, 1126, 6693, 154213, 4615, 236768, 600, 1660, 58344, 3540, 573, 3911, 236772, 27053, 98894, 236761, 138, 107, 236772, 5213, 9272, 6555, 66515, 5612, 822, 18669, 21132, 580, 56241, 900, 9226, 23060, 236764, 564, 5840, 21485, 35329, 506, 3432, 236858, 236751, 5417, 531, 9128, 901, 4241, 822, 12524, 9703, 236761, 138, 108, 38786, 611, 1133, 1601, 32187, 3530, 3004, 699, 506, 3432, 236764, 653, 16329, 2264, 8610, 236881, 236743, 244878, 251688, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 56083, 236761, 564, 236789, 236757, 17373, 6050, 32123, 3173, 573, 496, 12960, 22658, 532, 1202, 531, 7352, 496, 15028, 12167, 236761, 669, 15028, 9139, 573, 623, 236770, 8578, 529, 12480, 71072, 2098, 840, 564, 1461, 531, 1161, 201164, 573, 18510, 2338, 564, 236789, 236757, 496, 105338, 19788, 236761, 5315, 236764, 1451, 611, 1385, 872, 506, 8514, 529, 623, 8144, 236775, 531, 9128, 625, 236789, 236751, 506, 2590, 57487, 4360, 236881, 4298, 236764, 7352, 236743, 236770, 8578, 531, 201164, 1699, 506, 5542, 41219, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 8144, 827, 623, 30124, 1083, 623, 236746, 4360, 529, 5542, 528, 506, 2590, 57487, 1458, 236764, 4745, 531, 236743, 236828, 11756, 56875, 653, 8296, 236743, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 201164, 236764, 14003, 1456, 528, 14049, 532, 23642, 10498, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 36898, 1083, 11058, 818, 15028, 9139, 573, 886, 8578, 529, 18763, 10498, 623, 32866, 506, 71072, 528, 496, 4077, 8578, 573, 10634, 62192, 623, 6265, 1083, 623, 10252, 38777, 17283, 26634, 9299, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 236764, 623, 6805, 1083, 623, 13795, 116410, 25938, 106, 107, 105, 4368, 107, 818, 8514, 529, 623, 8144, 236775, 44898, 625, 236789, 236751, 506, 2590, 57487, 4360, 236764, 4745, 531, 5213, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 201164, 84750, 236743, 108, 21204, 236764, 5213, 236770, 8578, 529, 12480, 71072, 578, 236743, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 55293, 84750, 236743, 108, 3048, 740, 79269, 4113, 5213, 236778, 236800, 236825, 236761, 236825, 55293, 1018, 568, 38753, 531, 886, 20632, 1977, 236768, 573, 18997, 14049, 236761, 20728, 6050, 32123, 3173, 3043, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 56083, 236761, 564, 236789, 236757, 17373, 6050, 32123, 3173, 573, 496, 12960, 22658, 532, 1202, 531, 7352, 496, 15028, 12167, 236761, 669, 15028, 9139, 573, 623, 236770, 8578, 529, 12480, 71072, 2098, 840, 564, 1461, 531, 1161, 201164, 573, 18510, 2338, 564, 236789, 236757, 496, 105338, 19788, 236761, 5315, 236764, 1451, 611, 1385, 872, 506, 8514, 529, 623, 8144, 236775, 531, 9128, 625, 236789, 236751, 506, 2590, 57487, 4360, 236881, 4298, 236764, 7352, 236743, 236770, 8578, 531, 201164, 1699, 506, 5542, 41219, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 8144, 827, 623, 30124, 1083, 623, 236746, 4360, 529, 5542, 528, 506, 2590, 57487, 1458, 236764, 4745, 531, 236743, 236828, 11756, 56875, 653, 8296, 236743, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 201164, 236764, 14003, 1456, 528, 14049, 532, 23642, 10498, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 36898, 1083, 11058, 818, 15028, 9139, 573, 886, 8578, 529, 18763, 10498, 623, 32866, 506, 71072, 528, 496, 4077, 8578, 573, 10634, 62192, 623, 6265, 1083, 623, 10252, 38777, 17283, 26634, 9299, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 236764, 623, 6805, 1083, 623, 13795, 116410, 25938, 106, 107, 105, 4368, 107, 818, 8514, 529, 623, 8144, 236775, 44898, 625, 236789, 236751, 506, 2590, 57487, 4360, 236764, 4745, 531, 5213, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 201164, 84750, 236743, 108, 21204, 236764, 5213, 236770, 8578, 529, 12480, 71072, 578, 236743, 236778, 236800, 236825, 236761, 236810, 236828, 236828, 55293, 84750, 236743, 108, 3048, 740, 79269, 4113, 5213, 236778, 236800, 236825, 236761, 236825, 55293, 1018, 568, 38753, 531, 886, 20632, 1977, 236768, 573, 18997, 14049, 236761, 20728, 6050, 32123, 3173, 3043, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 506, 1262, 529, 506, 51280, 5089, 607, 62606, 756, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236789, 532, 756, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 6748, 106, 107, 105, 4368, 107, 236777, 776, 711, 735, 2802, 531, 51280, 236789, 236751, 2430, 1262, 653, 506, 5596, 531, 12270, 2430, 1938, 699, 51280, 236761, 669, 2487, 5904, 568, 828, 236779, 3955, 236768, 563, 5402, 531, 8430, 3004, 699, 224769, 236764, 840, 625, 3914, 33205, 51280, 2430, 1262, 236761, 1599, 1093, 1202, 531, 1161, 51280, 236789, 236751, 5125, 9299, 653, 2264, 19278, 1996, 531, 3011, 2430, 1938, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 506, 1262, 529, 506, 51280, 5089, 607, 62606, 756, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236789, 532, 756, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 6748, 106, 107, 105, 4368, 107, 236777, 776, 711, 735, 2802, 531, 51280, 236789, 236751, 2430, 1262, 653, 506, 5596, 531, 12270, 2430, 1938, 699, 51280, 236761, 669, 2487, 5904, 568, 828, 236779, 3955, 236768, 563, 5402, 531, 8430, 3004, 699, 224769, 236764, 840, 625, 3914, 33205, 51280, 2430, 1262, 236761, 1599, 1093, 1202, 531, 1161, 51280, 236789, 236751, 5125, 9299, 653, 2264, 19278, 1996, 531, 3011, 2430, 1938, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 25618, 699, 59823, 236761, 564, 236789, 236757, 22293, 496, 2197, 91624, 672, 8224, 573, 1041, 1610, 2299, 532, 1461, 531, 1407, 808, 818, 34525, 172519, 120998, 236829, 237028, 509, 236858, 236751, 496, 9760, 607, 1822, 10595, 236764, 532, 564, 1202, 506, 1689, 20473, 573, 496, 131782, 2290, 236761, 5315, 236764, 1161, 506, 974, 236779, 21000, 236779, 66850, 5904, 531, 12270, 506, 10595, 573, 600, 4453, 3822, 236761, 4298, 236764, 699, 506, 3072, 236764, 8091, 506, 94345, 5853, 568, 509, 236858, 859, 577, 528, 506, 1262, 779, 532, 1161, 600, 4453, 5853, 607, 506, 19293, 236779, 547, 236779, 3241, 236779, 81746, 5904, 531, 974, 506, 6171, 1694, 236761, 564, 236858, 859, 1161, 506, 20473, 236858, 5618, 531, 1386, 506, 131782, 4137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21000, 236779, 3250, 1083, 623, 818, 34525, 172519, 120998, 827, 623, 108456, 236779, 547, 1083, 623, 1220, 236771, 236770, 236770, 236770, 236770, 236825, 236770, 827, 623, 66850, 1083, 78493, 206570, 1083, 623, 96627, 189816, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 1005, 1083, 623, 236776, 65972, 529, 54491, 532, 3246, 7304, 221476, 3714, 206570, 1083, 623, 21313, 1571, 95463, 827, 623, 13126, 1083, 236743, 236819, 236828, 236764, 623, 1005, 1083, 623, 4906, 529, 506, 11333, 11847, 3785, 1603, 236764, 607, 58931, 19575, 221476, 3714, 206570, 1083, 623, 2783, 21845, 7486, 827, 623, 13126, 1083, 236743, 236819, 236761, 236800, 236764, 623, 1005, 1083, 623, 17214, 9342, 3925, 529, 4614, 532, 27147, 600, 119636, 3418, 20971, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108456, 236779, 547, 1083, 623, 1220, 236771, 236770, 236770, 236770, 236770, 236825, 236770, 827, 623, 3241, 236779, 81746, 1083, 11058, 17214, 102408, 827, 623, 104195, 52579, 827, 623, 43930, 24754, 1108, 827, 623, 34848, 197071, 827, 623, 81866, 603, 3881, 236751, 99471, 106, 107, 105, 4368, 107, 818, 1689, 20473, 573, 808, 818, 34525, 172519, 120998, 236829, 568, 2783, 21845, 5853, 236787, 44714, 236771, 236770, 236770, 236770, 236770, 236825, 236770, 236768, 659, 236787, 138, 107, 1018, 17214, 102408, 236764, 23570, 52579, 236764, 15943, 24754, 1108, 236764, 8966, 197071, 236764, 19869, 603, 3881, 236751, 84750, 138, 108, 9208, 5618, 659, 4011, 573, 822, 131782, 2290, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236761, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 25618, 699, 59823, 236761, 564, 236789, 236757, 22293, 496, 2197, 91624, 672, 8224, 573, 1041, 1610, 2299, 532, 1461, 531, 1407, 808, 818, 34525, 172519, 120998, 236829, 237028, 509, 236858, 236751, 496, 9760, 607, 1822, 10595, 236764, 532, 564, 1202, 506, 1689, 20473, 573, 496, 131782, 2290, 236761, 5315, 236764, 1161, 506, 974, 236779, 21000, 236779, 66850, 5904, 531, 12270, 506, 10595, 573, 600, 4453, 3822, 236761, 4298, 236764, 699, 506, 3072, 236764, 8091, 506, 94345, 5853, 568, 509, 236858, 859, 577, 528, 506, 1262, 779, 532, 1161, 600, 4453, 5853, 607, 506, 19293, 236779, 547, 236779, 3241, 236779, 81746, 5904, 531, 974, 506, 6171, 1694, 236761, 564, 236858, 859, 1161, 506, 20473, 236858, 5618, 531, 1386, 506, 131782, 4137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21000, 236779, 3250, 1083, 623, 818, 34525, 172519, 120998, 827, 623, 108456, 236779, 547, 1083, 623, 1220, 236771, 236770, 236770, 236770, 236770, 236825, 236770, 827, 623, 66850, 1083, 78493, 206570, 1083, 623, 96627, 189816, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 1005, 1083, 623, 236776, 65972, 529, 54491, 532, 3246, 7304, 221476, 3714, 206570, 1083, 623, 21313, 1571, 95463, 827, 623, 13126, 1083, 236743, 236819, 236828, 236764, 623, 1005, 1083, 623, 4906, 529, 506, 11333, 11847, 3785, 1603, 236764, 607, 58931, 19575, 221476, 3714, 206570, 1083, 623, 2783, 21845, 7486, 827, 623, 13126, 1083, 236743, 236819, 236761, 236800, 236764, 623, 1005, 1083, 623, 17214, 9342, 3925, 529, 4614, 532, 27147, 600, 119636, 3418, 20971, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108456, 236779, 547, 1083, 623, 1220, 236771, 236770, 236770, 236770, 236770, 236825, 236770, 827, 623, 3241, 236779, 81746, 1083, 11058, 17214, 102408, 827, 623, 104195, 52579, 827, 623, 43930, 24754, 1108, 827, 623, 34848, 197071, 827, 623, 81866, 603, 3881, 236751, 99471, 106, 107, 105, 4368, 107, 818, 1689, 20473, 573, 808, 818, 34525, 172519, 120998, 236829, 568, 2783, 21845, 5853, 236787, 44714, 236771, 236770, 236770, 236770, 236770, 236825, 236770, 236768, 659, 236787, 138, 107, 1018, 17214, 102408, 236764, 23570, 52579, 236764, 15943, 24754, 1108, 236764, 8966, 197071, 236764, 19869, 603, 3881, 236751, 84750, 138, 108, 9208, 5618, 659, 4011, 573, 822, 131782, 2290, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 2260, 1003, 1041, 9871, 618, 496, 214091, 528, 83545, 6914, 236764, 532, 564, 236789, 236753, 1133, 531, 3204, 1070, 4403, 1003, 1217, 16106, 528, 1023, 3399, 815, 28404, 1024, 506, 1518, 236761, 28344, 611, 1601, 786, 1586, 4803, 4668, 10308, 600, 3249, 16106, 18783, 653, 3731, 528, 83545, 6914, 10916, 236881, 564, 1751, 506, 808, 29449, 236779, 12959, 236779, 2003, 236779, 1862, 236829, 5904, 2473, 981, 1590, 753, 1531, 236789, 236751, 1161, 623, 188964, 236775, 618, 506, 3336, 532, 623, 236811, 36778, 6914, 236775, 618, 506, 10562, 236761, 1174, 1093, 2583, 786, 496, 1535, 6250, 1523, 531, 5577, 2263, 4083, 528, 1041, 5712, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236811, 36778, 6914, 11493, 5554, 6022, 13642, 2964, 8381, 531, 34556, 58078, 62986, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 18245, 7074, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 818, 83545, 6914, 11493, 5554, 6022, 59817, 496, 609, 236778, 236792, 10534, 2203, 531, 1138, 5905, 2065, 47822, 532, 9069, 2404, 3019, 236764, 32427, 4869, 16106, 3548, 528, 506, 4128, 221476, 3714, 3250, 1083, 623, 4199, 16218, 90512, 118836, 32526, 39259, 42622, 13863, 528, 83545, 6914, 827, 623, 6265, 1083, 623, 149178, 10950, 26194, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 13149, 15063, 8324, 607, 11321, 20990, 531, 4144, 186546, 14175, 236764, 14526, 20727, 2065, 2802, 573, 83545, 6914, 10465, 221476, 3714, 3250, 1083, 623, 68051, 83545, 6914, 5554, 15519, 184345, 17357, 183154, 55905, 532, 59804, 1280, 10668, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 66891, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 3500, 54213, 2072, 3423, 26241, 657, 672, 1051, 236789, 236751, 2404, 5888, 236764, 607, 2196, 115684, 532, 12524, 28023, 580, 17044, 5933, 3997, 1781, 104960, 623, 5576, 236779, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 659, 4803, 16106, 236772, 10619, 18783, 528, 83545, 6914, 699, 2263, 4668, 7021, 236787, 108, 236770, 236761, 5213, 236811, 36778, 6914, 11493, 5554, 6022, 81909, 1018, 138, 107, 139, 236829, 5825, 63508, 83545, 6914, 18245, 7074, 568, 20123, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 24355, 236787, 562, 609, 236778, 236792, 10534, 2203, 795, 1138, 5905, 2065, 47822, 532, 9069, 2404, 3019, 531, 3421, 6730, 3399, 3548, 236761, 108, 236778, 236761, 5213, 28942, 90512, 118836, 1018, 138, 107, 139, 236829, 5825, 63508, 42622, 10950, 26194, 568, 20123, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 24355, 236787, 1799, 13023, 236772, 8819, 33000, 659, 21494, 2802, 531, 20727, 2065, 1343, 186546, 14175, 236761, 108, 236800, 236761, 5213, 19924, 15519, 30235, 580, 17357, 183154, 55905, 1018, 138, 107, 139, 236829, 5825, 63508, 83545, 6914, 66891, 568, 20123, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 24355, 236787, 19558, 26241, 657, 506, 7384, 2404, 5888, 20756, 3399, 15154, 607, 73025, 14496, 532, 105669, 2065, 19898, 236761, 108, 818, 5904, 11387, 919, 10308, 659, 2487, 768, 611, 236789, 236753, 1133, 531, 11327, 3530, 1159, 51996, 3342, 568, 236744, 236761, 236759, 1126, 4957, 3731, 236764, 46144, 24637, 769, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 607, 4767, 18774, 653, 3213, 580, 496, 2931, 6084, 529, 1239, 18783, 236881, 106, 107, 105, 2364, 107, 818, 10534, 529, 506, 83545, 6914, 11493, 5554, 6022, 532, 506, 186546, 33000, 659, 6412, 6121, 236761, 564, 236858, 236753, 1133, 531, 3137, 19276, 1131, 1217, 1239, 18783, 2473, 33647, 607, 143740, 2065, 236761, 28344, 611, 3927, 1570, 1699, 506, 1638, 5904, 840, 59638, 506, 10562, 531, 3204, 623, 6411, 1682, 74363, 2065, 236775, 653, 623, 19234, 1280, 12999, 236775, 16195, 623, 236811, 36778, 6914, 51653, 564, 236858, 236757, 23210, 768, 993, 236858, 236751, 2263, 12606, 529, 1217, 39435, 48703, 1133, 35079, 659, 1646, 22420, 1131, 25898, 16106, 19898, 236761, 1174, 1093, 1601, 786, 58344, 969, 1041, 23538, 236858, 236751, 3853, 528, 506, 3399, 236858, 236751, 36757, 2404, 10092, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236811, 36778, 6914, 11493, 5554, 6022, 13642, 2964, 197611, 8381, 124148, 16218, 90512, 26608, 827, 623, 6011, 1083, 623, 818, 83545, 6914, 11493, 5554, 6022, 59817, 861, 143740, 2065, 6607, 13148, 607, 230968, 14175, 236764, 42351, 531, 4006, 2802, 531, 39435, 48703, 528, 13023, 4106, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 574, 6175, 236772, 73522, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 29579, 1280, 16802, 67347, 37081, 528, 83545, 6914, 236789, 236751, 42622, 139945, 827, 623, 6011, 1083, 623, 13149, 47822, 8324, 607, 10969, 20990, 531, 27968, 143740, 532, 49639, 17591, 1131, 5905, 2065, 236764, 32427, 4559, 15067, 8797, 6213, 236772, 51257, 2065, 4681, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 19234, 1280, 236772, 90512, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 25938, 1604, 623, 1862, 1083, 623, 188964, 827, 623, 14801, 1083, 623, 3118, 827, 623, 29449, 1083, 623, 236811, 36778, 6914, 143740, 2065, 135236, 12999, 25938, 106, 107, 105, 4368, 107, 8291, 659, 4803, 10308, 600, 5467, 3371, 143740, 2065, 236786, 19234, 1280, 12999, 531, 83545, 6914, 236789, 236751, 16106, 11294, 236787, 108, 236770, 236761, 5213, 236811, 36778, 6914, 11493, 5554, 6022, 13642, 2964, 197611, 8381, 1018, 138, 107, 139, 236829, 3682, 63508, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 24355, 236787, 1799, 143740, 6607, 659, 1646, 13148, 607, 230968, 14175, 531, 4006, 2802, 531, 39435, 48703, 528, 13023, 4106, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 574, 6175, 236772, 73522, 236768, 138, 108, 236778, 236761, 5213, 29579, 1280, 16802, 528, 83545, 6914, 236789, 236751, 42622, 139945, 1018, 138, 107, 139, 236829, 3682, 63508, 5261, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 24355, 236787, 12263, 47822, 659, 69757, 607, 10969, 20990, 531, 27968, 143740, 532, 49639, 17591, 1131, 5905, 2065, 236764, 120022, 607, 4559, 15067, 8797, 6213, 236772, 51257, 2065, 4681, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 19234, 1280, 236772, 90512, 236768, 138, 108, 9208, 12396, 3600, 822, 23538, 236858, 236751, 981, 100146, 607, 1156, 2307, 15067, 236787, 138, 107, 236772, 5213, 28942, 16602, 12434, 66515, 197611, 2065, 563, 15747, 12063, 16195, 5177, 2404, 6436, 236764, 21494, 5370, 531, 13023, 4399, 236761, 138, 107, 236772, 5213, 7765, 6678, 22109, 529, 135236, 2065, 66515, 112921, 835, 48703, 1133, 23149, 659, 1492, 25010, 5012, 528, 3399, 2404, 3988, 19898, 236764, 32427, 496, 8633, 8797, 49639, 35818, 4681, 236761, 138, 108, 38786, 611, 1133, 786, 531, 11327, 11858, 4403, 568, 236744, 236761, 236759, 1126, 1056, 143740, 2065, 1171, 16531, 41954, 528, 83545, 6914, 236768, 653, 3213, 580, 6213, 14421, 1262, 4596, 531, 1239, 6607, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 11327, 506, 11858, 4403, 236761, 28344, 611, 1161, 506, 808, 29449, 236779, 12959, 236779, 2003, 236779, 1862, 236829, 5904, 1570, 236764, 672, 990, 607, 506, 10562, 1076, 531, 999, 18308, 529, 143740, 2065, 528, 83545, 6914, 236919, 532, 506, 3336, 618, 999, 188964, 65785, 564, 236858, 236753, 1133, 531, 1460, 1217, 143740, 2065, 815, 1010, 26969, 532, 13148, 1024, 506, 13013, 236764, 4285, 1217, 625, 28404, 699, 496, 36989, 5428, 531, 1646, 912, 529, 31653, 19898, 1133, 506, 1873, 230968, 33000, 236761, 1174, 1093, 1601, 786, 3371, 1041, 23538, 236858, 236751, 9338, 531, 506, 25898, 3399, 22323, 528, 1041, 2260, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236811, 36778, 6914, 236789, 236751, 197611, 85454, 236787, 562, 236743, 236770, 236819, 236832, 236771, 236751, 5554, 34856, 827, 623, 6011, 1083, 623, 39403, 13049, 529, 3587, 236761, 27369, 77771, 23364, 83545, 6914, 236789, 236751, 1171, 143740, 23538, 528, 236743, 236770, 236819, 236832, 236812, 236764, 13668, 130099, 699, 6672, 5526, 37735, 1651, 31760, 82158, 1894, 573, 5290, 236772, 6796, 4331, 3997, 10498, 623, 1896, 1083, 623, 236770, 236819, 236832, 236812, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 18245, 77742, 827, 623, 2883, 1083, 623, 2574, 1411, 15727, 236761, 157445, 6914, 12186, 2355, 236761, 854, 236786, 236770, 236819, 236832, 236812, 236786, 236771, 236828, 236786, 236770, 236810, 236786, 6411, 1682, 74363, 236772, 77208, 236772, 183934, 236751, 23179, 3714, 3250, 1083, 623, 27258, 3316, 5554, 81909, 236787, 197611, 2358, 1826, 6400, 6678, 568, 236770, 236819, 236819, 236778, 22730, 623, 6011, 1083, 623, 15764, 580, 83545, 6914, 11669, 6022, 236789, 236751, 31332, 236743, 236770, 236819, 236819, 236778, 4893, 531, 25139, 143740, 3019, 1131, 910, 4331, 3997, 1948, 236764, 36996, 496, 8633, 528, 24085, 23772, 10498, 623, 1896, 1083, 623, 236770, 236819, 236819, 236778, 236772, 236771, 236800, 236772, 236778, 236778, 827, 623, 6265, 1083, 623, 143872, 36683, 5554, 9352, 827, 623, 2883, 1083, 623, 2574, 1411, 89237, 36683, 16602, 25612, 236761, 2187, 236786, 15727, 236786, 236770, 236819, 236819, 236778, 236786, 4545, 236778, 236778, 236772, 574, 6175, 236772, 49701, 23179, 3714, 3250, 1083, 623, 32106, 89282, 236787, 16218, 16602, 189533, 197611, 10668, 827, 623, 6011, 1083, 623, 236778, 236771, 236770, 236828, 3671, 529, 83545, 6914, 197611, 833, 64542, 6022, 236789, 236751, 11403, 607, 18738, 143266, 5554, 236764, 66370, 9144, 66064, 532, 2033, 8774, 16074, 13283, 573, 40362, 2404, 10498, 623, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 6265, 1083, 623, 19924, 29235, 46627, 1277, 827, 623, 2883, 1083, 623, 2574, 1411, 16602, 17470, 131016, 1277, 236761, 854, 236786, 236778, 236771, 236770, 236828, 236786, 236770, 236770, 236786, 236771, 236810, 236786, 21913, 574, 6175, 236772, 4925, 236772, 44215, 23179, 3714, 3250, 1083, 623, 46640, 10668, 36630, 236787, 236743, 236810, 236771, 25712, 529, 197611, 528, 83545, 6914, 827, 623, 6011, 1083, 623, 236778, 236771, 236778, 236800, 81111, 34629, 1217, 2263, 93440, 228082, 130661, 699, 9302, 37735, 531, 5250, 6627, 528, 83545, 6914, 236789, 236751, 1237, 2404, 19898, 236764, 2440, 73025, 9095, 6607, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 7423, 5554, 9186, 827, 623, 2883, 1083, 623, 2574, 1411, 157445, 6914, 16602, 31725, 236761, 2187, 236786, 236810, 236771, 236772, 3704, 236772, 4243, 207221, 25938, 1604, 623, 1862, 1083, 623, 188964, 827, 623, 29449, 1083, 623, 18308, 529, 143740, 2065, 528, 83545, 6914, 827, 623, 12103, 236779, 2861, 1083, 236743, 236812, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 11858, 34315, 529, 143740, 2065, 528, 83545, 6914, 236764, 9710, 699, 87349, 4668, 10308, 532, 1237, 2404, 41341, 236787, 108, 7243, 108, 10354, 5213, 236770, 236819, 236832, 236771, 236751, 236787, 40065, 46802, 27441, 26615, 1018, 138, 107, 1018, 236811, 36778, 6914, 236789, 236751, 197611, 85454, 568, 236770, 236819, 236832, 236812, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 3587, 236761, 27369, 77771, 8678, 83545, 6914, 236858, 236751, 1171, 143740, 23538, 528, 236743, 236770, 236819, 236832, 236812, 236761, 138, 107, 236772, 5213, 3637, 66515, 193206, 130099, 699, 6672, 5526, 37735, 840, 16531, 41954, 3571, 10465, 12985, 5290, 236772, 6796, 4331, 3997, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 236811, 36778, 6914, 18245, 77742, 568, 236770, 236819, 236832, 236812, 65311, 2574, 1411, 15727, 236761, 157445, 6914, 12186, 2355, 236761, 854, 236786, 236770, 236819, 236832, 236812, 236786, 236771, 236828, 236786, 236770, 236810, 236786, 6411, 1682, 74363, 236772, 77208, 236772, 183934, 236751, 236768, 138, 108, 7243, 108, 10354, 5213, 236770, 236819, 236819, 236771, 236751, 236787, 85358, 122902, 1018, 138, 107, 1018, 27258, 3316, 5554, 81909, 568, 236770, 236819, 236819, 236778, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 83545, 6914, 11669, 6022, 13148, 143740, 3019, 1131, 1061, 4331, 3997, 1948, 237028, 236746, 31332, 2827, 657, 506, 990, 236761, 138, 107, 236772, 5213, 3637, 66515, 183358, 496, 13805, 1523, 528, 31653, 13909, 529, 143740, 2065, 618, 496, 39435, 11682, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 143872, 36683, 5554, 9352, 568, 236770, 236819, 236819, 236778, 65311, 2574, 1411, 89237, 36683, 16602, 25612, 236761, 2187, 236786, 15727, 236786, 236770, 236819, 236819, 236778, 236786, 4545, 236778, 236778, 236772, 574, 6175, 236772, 49701, 236768, 138, 108, 7243, 108, 10354, 5213, 236778, 236771, 236770, 236771, 236751, 236787, 10856, 43645, 1018, 138, 107, 1018, 32106, 89282, 568, 236778, 236771, 236770, 236828, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 83545, 6914, 197611, 833, 64542, 6022, 55666, 607, 18738, 143266, 5554, 531, 2729, 9144, 66064, 532, 850, 236772, 5140, 40362, 2404, 16074, 236761, 138, 107, 236772, 5213, 3637, 66515, 58785, 3747, 230968, 528, 506, 2135, 236764, 84808, 13023, 2802, 28893, 1518, 1680, 506, 4803, 186546, 31111, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 19924, 29235, 46627, 1277, 568, 236778, 236771, 236770, 236828, 65311, 2574, 1411, 16602, 17470, 131016, 1277, 236761, 854, 236786, 236778, 236771, 236770, 236828, 236786, 236770, 236770, 236786, 236771, 236810, 236786, 21913, 574, 6175, 236772, 4925, 236772, 44215, 236768, 138, 108, 7243, 108, 10354, 5213, 236778, 236771, 236778, 236771, 236751, 236787, 7423, 5554, 45012, 1018, 138, 107, 1018, 46640, 10668, 36630, 568, 236778, 236771, 236778, 236800, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 5578, 207221, 3671, 24724, 93440, 228082, 236858, 7140, 699, 999, 83186, 236919, 37735, 531, 2307, 6627, 528, 1237, 2404, 19898, 568, 236744, 236761, 236759, 1126, 73025, 9095, 6607, 769, 138, 107, 236772, 5213, 3637, 66515, 1429, 86381, 607, 4559, 15067, 79720, 1908, 236772, 198229, 3535, 4331, 3997, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 236811, 36778, 6914, 7423, 5554, 9186, 568, 236778, 236771, 236778, 236800, 65311, 2574, 1411, 157445, 6914, 16602, 31725, 236761, 2187, 236786, 236810, 236771, 236772, 3704, 236772, 4243, 207221, 236768, 138, 108, 7243, 108, 10354, 5213, 101068, 531, 5180, 16976, 1018, 138, 107, 11069, 23538, 236858, 236751, 9338, 44066, 83545, 6914, 236858, 236751, 25898, 22323, 236787, 138, 107, 236772, 5213, 4663, 93751, 35210, 1929, 531, 122902, 66515, 21107, 86945, 1133, 3587, 236761, 77771, 15026, 506, 135925, 573, 3124, 236858, 236751, 135236, 33000, 236761, 138, 107, 236772, 5213, 29235, 140165, 66515, 5180, 23538, 236858, 236751, 230968, 7880, 568, 5282, 1724, 528, 236743, 236778, 236771, 236770, 236828, 236768, 4547, 36477, 1913, 506, 10248, 236764, 32427, 496, 3399, 236772, 2788, 13862, 236761, 138, 107, 236772, 5213, 8782, 29722, 66515, 1773, 3472, 528, 506, 236743, 236778, 236771, 236778, 236800, 81111, 236764, 143740, 2065, 563, 1492, 496, 12161, 574, 10475, 528, 25963, 38673, 4342, 1133, 506, 73025, 11127, 237028, 236746, 8632, 7275, 573, 822, 2260, 236858, 236751, 12882, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 3530, 6213, 8511, 699, 1239, 101335, 236764, 653, 3213, 580, 1217, 4957, 3731, 568, 236744, 236761, 236759, 1126, 8657, 12606, 573, 143740, 2065, 236768, 21202, 672, 33744, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 2260, 1003, 1041, 9871, 618, 496, 214091, 528, 83545, 6914, 236764, 532, 564, 236789, 236753, 1133, 531, 3204, 1070, 4403, 1003, 1217, 16106, 528, 1023, 3399, 815, 28404, 1024, 506, 1518, 236761, 28344, 611, 1601, 786, 1586, 4803, 4668, 10308, 600, 3249, 16106, 18783, 653, 3731, 528, 83545, 6914, 10916, 236881, 564, 1751, 506, 808, 29449, 236779, 12959, 236779, 2003, 236779, 1862, 236829, 5904, 2473, 981, 1590, 753, 1531, 236789, 236751, 1161, 623, 188964, 236775, 618, 506, 3336, 532, 623, 236811, 36778, 6914, 236775, 618, 506, 10562, 236761, 1174, 1093, 2583, 786, 496, 1535, 6250, 1523, 531, 5577, 2263, 4083, 528, 1041, 5712, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236811, 36778, 6914, 11493, 5554, 6022, 13642, 2964, 8381, 531, 34556, 58078, 62986, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 18245, 7074, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 818, 83545, 6914, 11493, 5554, 6022, 59817, 496, 609, 236778, 236792, 10534, 2203, 531, 1138, 5905, 2065, 47822, 532, 9069, 2404, 3019, 236764, 32427, 4869, 16106, 3548, 528, 506, 4128, 221476, 3714, 3250, 1083, 623, 4199, 16218, 90512, 118836, 32526, 39259, 42622, 13863, 528, 83545, 6914, 827, 623, 6265, 1083, 623, 149178, 10950, 26194, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 13149, 15063, 8324, 607, 11321, 20990, 531, 4144, 186546, 14175, 236764, 14526, 20727, 2065, 2802, 573, 83545, 6914, 10465, 221476, 3714, 3250, 1083, 623, 68051, 83545, 6914, 5554, 15519, 184345, 17357, 183154, 55905, 532, 59804, 1280, 10668, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 66891, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 3500, 54213, 2072, 3423, 26241, 657, 672, 1051, 236789, 236751, 2404, 5888, 236764, 607, 2196, 115684, 532, 12524, 28023, 580, 17044, 5933, 3997, 1781, 104960, 623, 5576, 236779, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 659, 4803, 16106, 236772, 10619, 18783, 528, 83545, 6914, 699, 2263, 4668, 7021, 236787, 108, 236770, 236761, 5213, 236811, 36778, 6914, 11493, 5554, 6022, 81909, 1018, 138, 107, 139, 236829, 5825, 63508, 83545, 6914, 18245, 7074, 568, 20123, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 24355, 236787, 562, 609, 236778, 236792, 10534, 2203, 795, 1138, 5905, 2065, 47822, 532, 9069, 2404, 3019, 531, 3421, 6730, 3399, 3548, 236761, 108, 236778, 236761, 5213, 28942, 90512, 118836, 1018, 138, 107, 139, 236829, 5825, 63508, 42622, 10950, 26194, 568, 20123, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 24355, 236787, 1799, 13023, 236772, 8819, 33000, 659, 21494, 2802, 531, 20727, 2065, 1343, 186546, 14175, 236761, 108, 236800, 236761, 5213, 19924, 15519, 30235, 580, 17357, 183154, 55905, 1018, 138, 107, 139, 236829, 5825, 63508, 83545, 6914, 66891, 568, 20123, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 24355, 236787, 19558, 26241, 657, 506, 7384, 2404, 5888, 20756, 3399, 15154, 607, 73025, 14496, 532, 105669, 2065, 19898, 236761, 108, 818, 5904, 11387, 919, 10308, 659, 2487, 768, 611, 236789, 236753, 1133, 531, 11327, 3530, 1159, 51996, 3342, 568, 236744, 236761, 236759, 1126, 4957, 3731, 236764, 46144, 24637, 769, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 607, 4767, 18774, 653, 3213, 580, 496, 2931, 6084, 529, 1239, 18783, 236881, 106, 107, 105, 2364, 107, 818, 10534, 529, 506, 83545, 6914, 11493, 5554, 6022, 532, 506, 186546, 33000, 659, 6412, 6121, 236761, 564, 236858, 236753, 1133, 531, 3137, 19276, 1131, 1217, 1239, 18783, 2473, 33647, 607, 143740, 2065, 236761, 28344, 611, 3927, 1570, 1699, 506, 1638, 5904, 840, 59638, 506, 10562, 531, 3204, 623, 6411, 1682, 74363, 2065, 236775, 653, 623, 19234, 1280, 12999, 236775, 16195, 623, 236811, 36778, 6914, 51653, 564, 236858, 236757, 23210, 768, 993, 236858, 236751, 2263, 12606, 529, 1217, 39435, 48703, 1133, 35079, 659, 1646, 22420, 1131, 25898, 16106, 19898, 236761, 1174, 1093, 1601, 786, 58344, 969, 1041, 23538, 236858, 236751, 3853, 528, 506, 3399, 236858, 236751, 36757, 2404, 10092, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236811, 36778, 6914, 11493, 5554, 6022, 13642, 2964, 197611, 8381, 124148, 16218, 90512, 26608, 827, 623, 6011, 1083, 623, 818, 83545, 6914, 11493, 5554, 6022, 59817, 861, 143740, 2065, 6607, 13148, 607, 230968, 14175, 236764, 42351, 531, 4006, 2802, 531, 39435, 48703, 528, 13023, 4106, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 574, 6175, 236772, 73522, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 29579, 1280, 16802, 67347, 37081, 528, 83545, 6914, 236789, 236751, 42622, 139945, 827, 623, 6011, 1083, 623, 13149, 47822, 8324, 607, 10969, 20990, 531, 27968, 143740, 532, 49639, 17591, 1131, 5905, 2065, 236764, 32427, 4559, 15067, 8797, 6213, 236772, 51257, 2065, 4681, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 19234, 1280, 236772, 90512, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 25938, 1604, 623, 1862, 1083, 623, 188964, 827, 623, 14801, 1083, 623, 3118, 827, 623, 29449, 1083, 623, 236811, 36778, 6914, 143740, 2065, 135236, 12999, 25938, 106, 107, 105, 4368, 107, 8291, 659, 4803, 10308, 600, 5467, 3371, 143740, 2065, 236786, 19234, 1280, 12999, 531, 83545, 6914, 236789, 236751, 16106, 11294, 236787, 108, 236770, 236761, 5213, 236811, 36778, 6914, 11493, 5554, 6022, 13642, 2964, 197611, 8381, 1018, 138, 107, 139, 236829, 3682, 63508, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 24355, 236787, 1799, 143740, 6607, 659, 1646, 13148, 607, 230968, 14175, 531, 4006, 2802, 531, 39435, 48703, 528, 13023, 4106, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 574, 6175, 236772, 73522, 236768, 138, 108, 236778, 236761, 5213, 29579, 1280, 16802, 528, 83545, 6914, 236789, 236751, 42622, 139945, 1018, 138, 107, 139, 236829, 3682, 63508, 5261, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 24355, 236787, 12263, 47822, 659, 69757, 607, 10969, 20990, 531, 27968, 143740, 532, 49639, 17591, 1131, 5905, 2065, 236764, 120022, 607, 4559, 15067, 8797, 6213, 236772, 51257, 2065, 4681, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 157445, 6914, 236772, 19234, 1280, 236772, 90512, 236768, 138, 108, 9208, 12396, 3600, 822, 23538, 236858, 236751, 981, 100146, 607, 1156, 2307, 15067, 236787, 138, 107, 236772, 5213, 28942, 16602, 12434, 66515, 197611, 2065, 563, 15747, 12063, 16195, 5177, 2404, 6436, 236764, 21494, 5370, 531, 13023, 4399, 236761, 138, 107, 236772, 5213, 7765, 6678, 22109, 529, 135236, 2065, 66515, 112921, 835, 48703, 1133, 23149, 659, 1492, 25010, 5012, 528, 3399, 2404, 3988, 19898, 236764, 32427, 496, 8633, 8797, 49639, 35818, 4681, 236761, 138, 108, 38786, 611, 1133, 786, 531, 11327, 11858, 4403, 568, 236744, 236761, 236759, 1126, 1056, 143740, 2065, 1171, 16531, 41954, 528, 83545, 6914, 236768, 653, 3213, 580, 6213, 14421, 1262, 4596, 531, 1239, 6607, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 11327, 506, 11858, 4403, 236761, 28344, 611, 1161, 506, 808, 29449, 236779, 12959, 236779, 2003, 236779, 1862, 236829, 5904, 1570, 236764, 672, 990, 607, 506, 10562, 1076, 531, 999, 18308, 529, 143740, 2065, 528, 83545, 6914, 236919, 532, 506, 3336, 618, 999, 188964, 65785, 564, 236858, 236753, 1133, 531, 1460, 1217, 143740, 2065, 815, 1010, 26969, 532, 13148, 1024, 506, 13013, 236764, 4285, 1217, 625, 28404, 699, 496, 36989, 5428, 531, 1646, 912, 529, 31653, 19898, 1133, 506, 1873, 230968, 33000, 236761, 1174, 1093, 1601, 786, 3371, 1041, 23538, 236858, 236751, 9338, 531, 506, 25898, 3399, 22323, 528, 1041, 2260, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236811, 36778, 6914, 236789, 236751, 197611, 85454, 236787, 562, 236743, 236770, 236819, 236832, 236771, 236751, 5554, 34856, 827, 623, 6011, 1083, 623, 39403, 13049, 529, 3587, 236761, 27369, 77771, 23364, 83545, 6914, 236789, 236751, 1171, 143740, 23538, 528, 236743, 236770, 236819, 236832, 236812, 236764, 13668, 130099, 699, 6672, 5526, 37735, 1651, 31760, 82158, 1894, 573, 5290, 236772, 6796, 4331, 3997, 10498, 623, 1896, 1083, 623, 236770, 236819, 236832, 236812, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 18245, 77742, 827, 623, 2883, 1083, 623, 2574, 1411, 15727, 236761, 157445, 6914, 12186, 2355, 236761, 854, 236786, 236770, 236819, 236832, 236812, 236786, 236771, 236828, 236786, 236770, 236810, 236786, 6411, 1682, 74363, 236772, 77208, 236772, 183934, 236751, 23179, 3714, 3250, 1083, 623, 27258, 3316, 5554, 81909, 236787, 197611, 2358, 1826, 6400, 6678, 568, 236770, 236819, 236819, 236778, 22730, 623, 6011, 1083, 623, 15764, 580, 83545, 6914, 11669, 6022, 236789, 236751, 31332, 236743, 236770, 236819, 236819, 236778, 4893, 531, 25139, 143740, 3019, 1131, 910, 4331, 3997, 1948, 236764, 36996, 496, 8633, 528, 24085, 23772, 10498, 623, 1896, 1083, 623, 236770, 236819, 236819, 236778, 236772, 236771, 236800, 236772, 236778, 236778, 827, 623, 6265, 1083, 623, 143872, 36683, 5554, 9352, 827, 623, 2883, 1083, 623, 2574, 1411, 89237, 36683, 16602, 25612, 236761, 2187, 236786, 15727, 236786, 236770, 236819, 236819, 236778, 236786, 4545, 236778, 236778, 236772, 574, 6175, 236772, 49701, 23179, 3714, 3250, 1083, 623, 32106, 89282, 236787, 16218, 16602, 189533, 197611, 10668, 827, 623, 6011, 1083, 623, 236778, 236771, 236770, 236828, 3671, 529, 83545, 6914, 197611, 833, 64542, 6022, 236789, 236751, 11403, 607, 18738, 143266, 5554, 236764, 66370, 9144, 66064, 532, 2033, 8774, 16074, 13283, 573, 40362, 2404, 10498, 623, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 6265, 1083, 623, 19924, 29235, 46627, 1277, 827, 623, 2883, 1083, 623, 2574, 1411, 16602, 17470, 131016, 1277, 236761, 854, 236786, 236778, 236771, 236770, 236828, 236786, 236770, 236770, 236786, 236771, 236810, 236786, 21913, 574, 6175, 236772, 4925, 236772, 44215, 23179, 3714, 3250, 1083, 623, 46640, 10668, 36630, 236787, 236743, 236810, 236771, 25712, 529, 197611, 528, 83545, 6914, 827, 623, 6011, 1083, 623, 236778, 236771, 236778, 236800, 81111, 34629, 1217, 2263, 93440, 228082, 130661, 699, 9302, 37735, 531, 5250, 6627, 528, 83545, 6914, 236789, 236751, 1237, 2404, 19898, 236764, 2440, 73025, 9095, 6607, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6265, 1083, 623, 236811, 36778, 6914, 7423, 5554, 9186, 827, 623, 2883, 1083, 623, 2574, 1411, 157445, 6914, 16602, 31725, 236761, 2187, 236786, 236810, 236771, 236772, 3704, 236772, 4243, 207221, 25938, 1604, 623, 1862, 1083, 623, 188964, 827, 623, 29449, 1083, 623, 18308, 529, 143740, 2065, 528, 83545, 6914, 827, 623, 12103, 236779, 2861, 1083, 236743, 236812, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 11858, 34315, 529, 143740, 2065, 528, 83545, 6914, 236764, 9710, 699, 87349, 4668, 10308, 532, 1237, 2404, 41341, 236787, 108, 7243, 108, 10354, 5213, 236770, 236819, 236832, 236771, 236751, 236787, 40065, 46802, 27441, 26615, 1018, 138, 107, 1018, 236811, 36778, 6914, 236789, 236751, 197611, 85454, 568, 236770, 236819, 236832, 236812, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 3587, 236761, 27369, 77771, 8678, 83545, 6914, 236858, 236751, 1171, 143740, 23538, 528, 236743, 236770, 236819, 236832, 236812, 236761, 138, 107, 236772, 5213, 3637, 66515, 193206, 130099, 699, 6672, 5526, 37735, 840, 16531, 41954, 3571, 10465, 12985, 5290, 236772, 6796, 4331, 3997, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 236811, 36778, 6914, 18245, 77742, 568, 236770, 236819, 236832, 236812, 65311, 2574, 1411, 15727, 236761, 157445, 6914, 12186, 2355, 236761, 854, 236786, 236770, 236819, 236832, 236812, 236786, 236771, 236828, 236786, 236770, 236810, 236786, 6411, 1682, 74363, 236772, 77208, 236772, 183934, 236751, 236768, 138, 108, 7243, 108, 10354, 5213, 236770, 236819, 236819, 236771, 236751, 236787, 85358, 122902, 1018, 138, 107, 1018, 27258, 3316, 5554, 81909, 568, 236770, 236819, 236819, 236778, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 83545, 6914, 11669, 6022, 13148, 143740, 3019, 1131, 1061, 4331, 3997, 1948, 237028, 236746, 31332, 2827, 657, 506, 990, 236761, 138, 107, 236772, 5213, 3637, 66515, 183358, 496, 13805, 1523, 528, 31653, 13909, 529, 143740, 2065, 618, 496, 39435, 11682, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 143872, 36683, 5554, 9352, 568, 236770, 236819, 236819, 236778, 65311, 2574, 1411, 89237, 36683, 16602, 25612, 236761, 2187, 236786, 15727, 236786, 236770, 236819, 236819, 236778, 236786, 4545, 236778, 236778, 236772, 574, 6175, 236772, 49701, 236768, 138, 108, 7243, 108, 10354, 5213, 236778, 236771, 236770, 236771, 236751, 236787, 10856, 43645, 1018, 138, 107, 1018, 32106, 89282, 568, 236778, 236771, 236770, 236828, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 83545, 6914, 197611, 833, 64542, 6022, 55666, 607, 18738, 143266, 5554, 531, 2729, 9144, 66064, 532, 850, 236772, 5140, 40362, 2404, 16074, 236761, 138, 107, 236772, 5213, 3637, 66515, 58785, 3747, 230968, 528, 506, 2135, 236764, 84808, 13023, 2802, 28893, 1518, 1680, 506, 4803, 186546, 31111, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 19924, 29235, 46627, 1277, 568, 236778, 236771, 236770, 236828, 65311, 2574, 1411, 16602, 17470, 131016, 1277, 236761, 854, 236786, 236778, 236771, 236770, 236828, 236786, 236770, 236770, 236786, 236771, 236810, 236786, 21913, 574, 6175, 236772, 4925, 236772, 44215, 236768, 138, 108, 7243, 108, 10354, 5213, 236778, 236771, 236778, 236771, 236751, 236787, 7423, 5554, 45012, 1018, 138, 107, 1018, 46640, 10668, 36630, 568, 236778, 236771, 236778, 236800, 62902, 138, 107, 236772, 5213, 3503, 12209, 66515, 5578, 207221, 3671, 24724, 93440, 228082, 236858, 7140, 699, 999, 83186, 236919, 37735, 531, 2307, 6627, 528, 1237, 2404, 19898, 568, 236744, 236761, 236759, 1126, 73025, 9095, 6607, 769, 138, 107, 236772, 5213, 3637, 66515, 1429, 86381, 607, 4559, 15067, 79720, 1908, 236772, 198229, 3535, 4331, 3997, 236761, 138, 107, 236772, 5213, 5825, 66515, 870, 236811, 36778, 6914, 7423, 5554, 9186, 568, 236778, 236771, 236778, 236800, 65311, 2574, 1411, 157445, 6914, 16602, 31725, 236761, 2187, 236786, 236810, 236771, 236772, 3704, 236772, 4243, 207221, 236768, 138, 108, 7243, 108, 10354, 5213, 101068, 531, 5180, 16976, 1018, 138, 107, 11069, 23538, 236858, 236751, 9338, 44066, 83545, 6914, 236858, 236751, 25898, 22323, 236787, 138, 107, 236772, 5213, 4663, 93751, 35210, 1929, 531, 122902, 66515, 21107, 86945, 1133, 3587, 236761, 77771, 15026, 506, 135925, 573, 3124, 236858, 236751, 135236, 33000, 236761, 138, 107, 236772, 5213, 29235, 140165, 66515, 5180, 23538, 236858, 236751, 230968, 7880, 568, 5282, 1724, 528, 236743, 236778, 236771, 236770, 236828, 236768, 4547, 36477, 1913, 506, 10248, 236764, 32427, 496, 3399, 236772, 2788, 13862, 236761, 138, 107, 236772, 5213, 8782, 29722, 66515, 1773, 3472, 528, 506, 236743, 236778, 236771, 236778, 236800, 81111, 236764, 143740, 2065, 563, 1492, 496, 12161, 574, 10475, 528, 25963, 38673, 4342, 1133, 506, 73025, 11127, 237028, 236746, 8632, 7275, 573, 822, 2260, 236858, 236751, 12882, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 3530, 6213, 8511, 699, 1239, 101335, 236764, 653, 3213, 580, 1217, 4957, 3731, 568, 236744, 236761, 236759, 1126, 8657, 12606, 573, 143740, 2065, 236768, 21202, 672, 33744, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1938, 1003, 496, 2544, 236789, 236751, 8646, 10154, 573, 496, 16672, 2203, 236761, 3199, 611, 1161, 506, 2544, 236779, 3906, 5904, 531, 2426, 870, 28534, 7343, 93977, 236751, 24488, 7248, 532, 8646, 4100, 1262, 236881, 564, 236789, 236757, 11337, 69757, 607, 1091, 573, 18481, 11734, 528, 100950, 722, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 3530, 2544, 1463, 531, 2426, 910, 8646, 1262, 236761, 28344, 611, 5091, 2847, 506, 4453, 1463, 529, 506, 2544, 611, 236789, 500, 11337, 573, 506, 100950, 722, 18481, 11734, 2203, 236881, 1174, 795, 2174, 786, 531, 1161, 506, 2544, 236779, 3906, 5904, 11974, 531, 33205, 910, 24488, 7248, 532, 8646, 4100, 1262, 236761, 106, 107, 105, 2364, 107, 818, 2544, 564, 236789, 236757, 11337, 563, 7086, 3360, 18592, 23566, 236761, 2195, 236789, 560, 8452, 855, 1003, 65122, 580, 496, 46327, 11734, 17358, 1699, 19311, 4181, 528, 506, 122116, 4128, 236761, 564, 236789, 236753, 1133, 531, 16807, 910, 8646, 41716, 532, 4867, 11646, 1680, 65090, 531, 1027, 11403, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 17224, 3360, 18592, 23566, 827, 623, 78024, 1083, 623, 73659, 8381, 827, 623, 125595, 236779, 80061, 1083, 623, 236776, 135527, 623, 61054, 236779, 13126, 1083, 623, 122926, 827, 623, 83122, 1083, 6610, 236812, 236778, 236761, 236828, 236792, 568, 236778, 236771, 236778, 236800, 22730, 623, 17341, 1083, 6610, 236800, 236761, 236778, 236792, 568, 236778, 236771, 236778, 236800, 22730, 623, 236751, 152405, 236779, 26984, 1083, 11058, 2046, 80463, 1037, 122957, 57265, 45325, 40434, 827, 623, 139305, 1591, 80403, 45012, 607, 36351, 14255, 623, 18289, 8112, 1083, 11058, 32279, 236743, 236770, 236812, 236771, 236771, 236770, 236787, 236778, 236771, 236770, 236810, 18592, 8813, 827, 623, 236799, 12232, 52414, 14255, 623, 12959, 1083, 11058, 32074, 609, 236778, 236792, 7224, 573, 12498, 236772, 27612, 22790, 3671, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236812, 22730, 623, 100367, 19311, 11734, 531, 236743, 236770, 236778, 5022, 528, 236743, 236778, 236771, 236778, 236800, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 1003, 5213, 17224, 3360, 18592, 23566, 1018, 1699, 506, 2544, 236779, 3906, 5904, 236787, 108, 1018, 73659, 52976, 53121, 107, 236772, 18592, 91138, 236787, 562, 236862, 236743, 107, 236772, 16344, 8112, 236787, 22977, 236743, 236770, 236812, 236771, 236771, 236770, 236787, 236778, 236771, 236770, 236810, 18592, 8813, 1804, 833, 603, 12232, 52414, 107, 236772, 72143, 37747, 236787, 236743, 107, 138, 236772, 122116, 122957, 57265, 45325, 40434, 568, 17993, 2203, 15520, 107, 138, 236772, 226841, 80403, 45012, 607, 36351, 108, 1018, 52571, 5554, 53121, 107, 236772, 34607, 236787, 609, 236812, 236778, 236761, 236828, 236792, 568, 236778, 236771, 236778, 236800, 236768, 107, 236772, 67679, 236787, 609, 236800, 236761, 236778, 236792, 568, 236778, 236771, 236778, 236800, 236768, 107, 236772, 16906, 47240, 236787, 84989, 108, 1018, 47619, 101638, 53121, 107, 236772, 65802, 609, 236778, 236792, 7224, 573, 12498, 236772, 27612, 22790, 3671, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236812, 236768, 107, 236772, 100922, 19311, 11734, 15858, 531, 236743, 236770, 236778, 5022, 528, 236743, 236778, 236771, 236778, 236800, 108, 818, 2544, 7412, 531, 735, 3188, 8646, 28150, 32769, 607, 16672, 7675, 236764, 532, 910, 4803, 7224, 12205, 6541, 573, 4181, 236772, 27612, 28831, 11734, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 6084, 529, 910, 6675, 653, 163555, 528, 919, 8052, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 2072, 236761, 9963, 28150, 1385, 15978, 236764, 4285, 506, 603, 12232, 22902, 532, 36351, 11403, 236761, 17770, 910, 3213, 580, 19311, 11734, 236764, 1451, 611, 2426, 910, 53017, 26104, 1699, 506, 974, 236779, 35380, 1831, 236779, 133624, 5904, 236881, 564, 236789, 236753, 1133, 531, 1460, 768, 901, 41049, 607, 1032, 66756, 8646, 9780, 653, 768, 993, 659, 1027, 20173, 126853, 692, 1374, 577, 7039, 529, 1680, 11211, 1023, 82004, 1262, 607, 1091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35380, 1831, 236779, 133624, 1083, 11058, 95970, 236761, 12561, 827, 623, 236763, 37556, 567, 236761, 2108, 827, 623, 109284, 125595, 20746, 236761, 2187, 827, 623, 199283, 17470, 36895, 236761, 854, 827, 623, 10671, 107091, 184577, 236761, 2187, 14255, 623, 19645, 236779, 28263, 1083, 3714, 10671, 3164, 789, 2830, 514, 236761, 854, 1083, 3714, 35380, 1831, 236779, 2861, 1083, 236743, 236770, 236778, 236764, 623, 3991, 236779, 27975, 1083, 11058, 73659, 18671, 827, 623, 221962, 16344, 8112, 827, 623, 54476, 118836, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 53017, 26104, 5143, 607, 5213, 10671, 3164, 789, 2830, 514, 236761, 854, 66515, 108, 1018, 3503, 154959, 189236, 53121, 107, 236772, 5213, 95970, 236761, 12561, 1018, 568, 73659, 18157, 17220, 236768, 107, 236772, 5213, 236763, 37556, 567, 236761, 2108, 1018, 568, 236799, 12232, 52414, 3707, 236768, 107, 236772, 5213, 109284, 125595, 20746, 236761, 2187, 1018, 568, 67779, 14896, 72962, 236768, 107, 236772, 5213, 199283, 17470, 36895, 236761, 854, 1018, 107, 236772, 5213, 10671, 107091, 184577, 236761, 2187, 1018, 108, 1018, 31212, 13768, 53121, 107, 236772, 12613, 154959, 92988, 236787, 236743, 236770, 236778, 107, 236772, 8231, 51552, 236787, 236743, 107, 138, 236772, 18592, 10856, 107, 138, 236772, 72143, 16344, 8112, 107, 138, 236772, 6110, 118836, 108, 3243, 53017, 26104, 8913, 607, 7086, 3360, 236789, 236751, 8249, 3213, 580, 8646, 13862, 532, 24488, 236761, 669, 13792, 531, 36351, 532, 603, 12232, 12230, 58051, 910, 44247, 236761, 2301, 20173, 126853, 964, 1765, 528, 672, 3671, 236761, 21284, 611, 1133, 786, 531, 17395, 1027, 3530, 8610, 653, 11403, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1938, 1003, 496, 2544, 236789, 236751, 8646, 10154, 573, 496, 16672, 2203, 236761, 3199, 611, 1161, 506, 2544, 236779, 3906, 5904, 531, 2426, 870, 28534, 7343, 93977, 236751, 24488, 7248, 532, 8646, 4100, 1262, 236881, 564, 236789, 236757, 11337, 69757, 607, 1091, 573, 18481, 11734, 528, 100950, 722, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 3530, 2544, 1463, 531, 2426, 910, 8646, 1262, 236761, 28344, 611, 5091, 2847, 506, 4453, 1463, 529, 506, 2544, 611, 236789, 500, 11337, 573, 506, 100950, 722, 18481, 11734, 2203, 236881, 1174, 795, 2174, 786, 531, 1161, 506, 2544, 236779, 3906, 5904, 11974, 531, 33205, 910, 24488, 7248, 532, 8646, 4100, 1262, 236761, 106, 107, 105, 2364, 107, 818, 2544, 564, 236789, 236757, 11337, 563, 7086, 3360, 18592, 23566, 236761, 2195, 236789, 560, 8452, 855, 1003, 65122, 580, 496, 46327, 11734, 17358, 1699, 19311, 4181, 528, 506, 122116, 4128, 236761, 564, 236789, 236753, 1133, 531, 16807, 910, 8646, 41716, 532, 4867, 11646, 1680, 65090, 531, 1027, 11403, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 17224, 3360, 18592, 23566, 827, 623, 78024, 1083, 623, 73659, 8381, 827, 623, 125595, 236779, 80061, 1083, 623, 236776, 135527, 623, 61054, 236779, 13126, 1083, 623, 122926, 827, 623, 83122, 1083, 6610, 236812, 236778, 236761, 236828, 236792, 568, 236778, 236771, 236778, 236800, 22730, 623, 17341, 1083, 6610, 236800, 236761, 236778, 236792, 568, 236778, 236771, 236778, 236800, 22730, 623, 236751, 152405, 236779, 26984, 1083, 11058, 2046, 80463, 1037, 122957, 57265, 45325, 40434, 827, 623, 139305, 1591, 80403, 45012, 607, 36351, 14255, 623, 18289, 8112, 1083, 11058, 32279, 236743, 236770, 236812, 236771, 236771, 236770, 236787, 236778, 236771, 236770, 236810, 18592, 8813, 827, 623, 236799, 12232, 52414, 14255, 623, 12959, 1083, 11058, 32074, 609, 236778, 236792, 7224, 573, 12498, 236772, 27612, 22790, 3671, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236812, 22730, 623, 100367, 19311, 11734, 531, 236743, 236770, 236778, 5022, 528, 236743, 236778, 236771, 236778, 236800, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 1003, 5213, 17224, 3360, 18592, 23566, 1018, 1699, 506, 2544, 236779, 3906, 5904, 236787, 108, 1018, 73659, 52976, 53121, 107, 236772, 18592, 91138, 236787, 562, 236862, 236743, 107, 236772, 16344, 8112, 236787, 22977, 236743, 236770, 236812, 236771, 236771, 236770, 236787, 236778, 236771, 236770, 236810, 18592, 8813, 1804, 833, 603, 12232, 52414, 107, 236772, 72143, 37747, 236787, 236743, 107, 138, 236772, 122116, 122957, 57265, 45325, 40434, 568, 17993, 2203, 15520, 107, 138, 236772, 226841, 80403, 45012, 607, 36351, 108, 1018, 52571, 5554, 53121, 107, 236772, 34607, 236787, 609, 236812, 236778, 236761, 236828, 236792, 568, 236778, 236771, 236778, 236800, 236768, 107, 236772, 67679, 236787, 609, 236800, 236761, 236778, 236792, 568, 236778, 236771, 236778, 236800, 236768, 107, 236772, 16906, 47240, 236787, 84989, 108, 1018, 47619, 101638, 53121, 107, 236772, 65802, 609, 236778, 236792, 7224, 573, 12498, 236772, 27612, 22790, 3671, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236812, 236768, 107, 236772, 100922, 19311, 11734, 15858, 531, 236743, 236770, 236778, 5022, 528, 236743, 236778, 236771, 236778, 236800, 108, 818, 2544, 7412, 531, 735, 3188, 8646, 28150, 32769, 607, 16672, 7675, 236764, 532, 910, 4803, 7224, 12205, 6541, 573, 4181, 236772, 27612, 28831, 11734, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 6084, 529, 910, 6675, 653, 163555, 528, 919, 8052, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 2072, 236761, 9963, 28150, 1385, 15978, 236764, 4285, 506, 603, 12232, 22902, 532, 36351, 11403, 236761, 17770, 910, 3213, 580, 19311, 11734, 236764, 1451, 611, 2426, 910, 53017, 26104, 1699, 506, 974, 236779, 35380, 1831, 236779, 133624, 5904, 236881, 564, 236789, 236753, 1133, 531, 1460, 768, 901, 41049, 607, 1032, 66756, 8646, 9780, 653, 768, 993, 659, 1027, 20173, 126853, 692, 1374, 577, 7039, 529, 1680, 11211, 1023, 82004, 1262, 607, 1091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35380, 1831, 236779, 133624, 1083, 11058, 95970, 236761, 12561, 827, 623, 236763, 37556, 567, 236761, 2108, 827, 623, 109284, 125595, 20746, 236761, 2187, 827, 623, 199283, 17470, 36895, 236761, 854, 827, 623, 10671, 107091, 184577, 236761, 2187, 14255, 623, 19645, 236779, 28263, 1083, 3714, 10671, 3164, 789, 2830, 514, 236761, 854, 1083, 3714, 35380, 1831, 236779, 2861, 1083, 236743, 236770, 236778, 236764, 623, 3991, 236779, 27975, 1083, 11058, 73659, 18671, 827, 623, 221962, 16344, 8112, 827, 623, 54476, 118836, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 53017, 26104, 5143, 607, 5213, 10671, 3164, 789, 2830, 514, 236761, 854, 66515, 108, 1018, 3503, 154959, 189236, 53121, 107, 236772, 5213, 95970, 236761, 12561, 1018, 568, 73659, 18157, 17220, 236768, 107, 236772, 5213, 236763, 37556, 567, 236761, 2108, 1018, 568, 236799, 12232, 52414, 3707, 236768, 107, 236772, 5213, 109284, 125595, 20746, 236761, 2187, 1018, 568, 67779, 14896, 72962, 236768, 107, 236772, 5213, 199283, 17470, 36895, 236761, 854, 1018, 107, 236772, 5213, 10671, 107091, 184577, 236761, 2187, 1018, 108, 1018, 31212, 13768, 53121, 107, 236772, 12613, 154959, 92988, 236787, 236743, 236770, 236778, 107, 236772, 8231, 51552, 236787, 236743, 107, 138, 236772, 18592, 10856, 107, 138, 236772, 72143, 16344, 8112, 107, 138, 236772, 6110, 118836, 108, 3243, 53017, 26104, 8913, 607, 7086, 3360, 236789, 236751, 8249, 3213, 580, 8646, 13862, 532, 24488, 236761, 669, 13792, 531, 36351, 532, 603, 12232, 12230, 58051, 910, 44247, 236761, 2301, 20173, 126853, 964, 1765, 528, 672, 3671, 236761, 21284, 611, 1133, 786, 531, 17395, 1027, 3530, 8610, 653, 11403, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3910, 1551, 18060, 659, 1076, 528, 506, 14820, 10065, 529, 506, 1548, 236743, 236770, 236778, 236800, 236881, 106, 107, 105, 4368, 107, 818, 2487, 6436, 776, 711, 3204, 496, 1292, 531, 9279, 506, 1548, 529, 1076, 18060, 568, 236770, 236751, 236768, 528, 506, 14820, 10065, 529, 496, 1548, 236761, 564, 3914, 2121, 672, 4209, 607, 506, 3847, 6436, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3910, 1551, 18060, 659, 1076, 528, 506, 14820, 10065, 529, 506, 1548, 236743, 236770, 236778, 236800, 236881, 106, 107, 105, 4368, 107, 818, 2487, 6436, 776, 711, 3204, 496, 1292, 531, 9279, 506, 1548, 529, 1076, 18060, 568, 236770, 236751, 236768, 528, 506, 14820, 10065, 529, 496, 1548, 236761, 564, 3914, 2121, 672, 4209, 607, 506, 3847, 6436, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 6261, 1463, 573, 506, 8610, 756, 7239, 236761, 854, 6748, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 1385, 872, 6261, 5618, 573, 26104, 236761, 669, 2487, 6436, 1186, 6060, 8582, 5192, 1262, 236764, 1759, 9350, 8726, 34369, 236764, 532, 2891, 5853, 236796, 1548, 1385, 11303, 236761, 21284, 611, 1133, 786, 531, 1601, 607, 1027, 529, 1724, 15858, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 6261, 1463, 573, 506, 8610, 756, 7239, 236761, 854, 6748, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 1385, 872, 6261, 5618, 573, 26104, 236761, 669, 2487, 6436, 1186, 6060, 8582, 5192, 1262, 236764, 1759, 9350, 8726, 34369, 236764, 532, 2891, 5853, 236796, 1548, 1385, 11303, 236761, 21284, 611, 1133, 786, 531, 1601, 607, 1027, 529, 1724, 15858, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 560, 1010, 23021, 531, 974, 1131, 2460, 6995, 236764, 532, 564, 1765, 672, 3489, 3003, 5058, 2760, 12209, 1489, 42478, 600, 1451, 2126, 1601, 786, 1984, 872, 236761, 564, 10227, 872, 573, 625, 236764, 840, 564, 236789, 236757, 2963, 13007, 19346, 528, 236761, 28344, 611, 1601, 786, 974, 1131, 1041, 2881, 236881, 5715, 236789, 236751, 1041, 15345, 236787, 82093, 703, 236770, 236819, 532, 8918, 236787, 221385, 23988, 236778, 236771, 236778, 236800, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8494, 236779, 547, 1083, 623, 62652, 236779, 236767, 2323, 703, 236770, 236819, 236779, 236778, 236771, 236778, 236810, 236771, 236812, 236770, 236810, 827, 623, 2364, 236779, 547, 1083, 623, 20268, 236779, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 5034, 827, 623, 126452, 236779, 495, 1083, 623, 236778, 3885, 827, 623, 4375, 1083, 623, 11502, 6595, 236761, 25780, 6697, 573, 2430, 82093, 703, 236770, 236819, 1781, 236783, 106, 107, 105, 4368, 107, 3048, 236789, 560, 10428, 32575, 1131, 12209, 1489, 42478, 236764, 25416, 703, 236888, 204906, 138, 107, 11069, 6478, 563, 1492, 5158, 568, 8494, 5853, 236787, 2165, 62652, 236779, 236767, 2323, 703, 236770, 236819, 236779, 236778, 236771, 236778, 236810, 236771, 236812, 236770, 236810, 18833, 532, 795, 4595, 4341, 573, 236743, 236778, 3885, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 67112, 506, 5058, 653, 10264, 822, 6478, 5158, 236888, 106, 107, 105, 2364, 107, 12879, 573, 3978, 786, 32575, 528, 236888, 4224, 600, 564, 236789, 236757, 528, 236764, 1451, 611, 1601, 786, 1586, 1070, 52766, 12420, 580, 2460, 39252, 532, 4430, 7283, 236881, 564, 5004, 496, 3927, 3029, 580, 506, 36112, 840, 564, 236789, 236757, 711, 2889, 1217, 531, 5957, 684, 12889, 1984, 236761, 15704, 692, 1451, 1502, 607, 12420, 600, 735, 756, 11099, 847, 236789, 653, 756, 81605, 531, 236789, 528, 506, 3822, 236881, 564, 236789, 236753, 2765, 531, 91096, 496, 2321, 3835, 532, 7463, 2426, 910, 46684, 15922, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 16126, 611, 236789, 500, 528, 236888, 5978, 564, 740, 236789, 236745, 5467, 12740, 607, 12209, 1489, 42478, 236789, 236751, 3927, 3029, 653, 91096, 4065, 568, 25142, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 7937, 779, 564, 740, 8426, 8214, 611, 1343, 506, 1657, 236787, 108, 236770, 236761, 5213, 8980, 34428, 66515, 15325, 28751, 3755, 1133, 623, 11099, 847, 529, 12209, 22113, 236775, 653, 623, 81605, 531, 19908, 30021, 236775, 528, 506, 3927, 3029, 236761, 7660, 14175, 11269, 5957, 2536, 618, 611, 1722, 236761, 108, 236778, 236761, 5213, 10296, 684, 73384, 16575, 66515, 11696, 573, 18774, 1133, 623, 27426, 1250, 2098, 623, 92495, 16575, 236787, 236743, 236770, 2098, 653, 623, 10356, 236772, 9501, 236775, 528, 506, 3927, 2536, 56664, 236761, 3143, 3187, 3196, 1308, 611, 5273, 496, 3927, 1941, 236761, 108, 236800, 236761, 5213, 27216, 9293, 859, 15922, 66515, 187597, 580, 3141, 3003, 8651, 1374, 16913, 919, 4889, 236764, 2440, 46684, 15922, 236764, 34270, 33010, 236764, 532, 128647, 236761, 108, 236812, 236761, 5213, 9020, 104921, 66515, 1637, 611, 1460, 496, 3710, 4822, 236764, 4381, 236764, 653, 623, 14000, 573, 25243, 236775, 4309, 580, 3003, 8651, 236764, 600, 236789, 236751, 506, 5058, 236789, 236751, 91096, 522, 1458, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 611, 12262, 3530, 3927, 27490, 653, 39961, 1027, 3003, 29141, 3622, 611, 1586, 1091, 236881, 103453, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 14984, 236888, 564, 1765, 1806, 12420, 600, 1385, 23284, 236787, 236743, 236770, 236761, 808, 11099, 847, 529, 12209, 153025, 236829, 568, 236812, 5695, 236764, 609, 236770, 236819, 236819, 236768, 236743, 236778, 236761, 808, 5950, 30021, 573, 1973, 24756, 236829, 568, 236825, 5695, 236764, 609, 236778, 236812, 236819, 236768, 236743, 236800, 236761, 808, 71653, 522, 97372, 236829, 568, 236800, 5695, 236764, 609, 236770, 236812, 236819, 236768, 2343, 1407, 623, 27426, 1250, 236775, 16616, 236764, 840, 564, 1461, 531, 10769, 910, 46684, 15922, 1680, 146652, 236761, 28344, 611, 1601, 786, 2541, 1679, 1144, 531, 56856, 528, 506, 3003, 4889, 236881, 1701, 2591, 236764, 1374, 564, 3213, 580, 83073, 236764, 34270, 28150, 236764, 653, 2203, 236772, 5140, 4735, 236881, 6542, 236764, 776, 611, 735, 11221, 573, 4071, 236772, 35380, 9908, 10595, 768, 901, 236858, 500, 2487, 7462, 568, 236777, 1202, 1601, 32187, 3003, 1550, 2721, 580, 1116, 6334, 7675, 532, 22195, 236764, 1581, 3635, 564, 740, 236789, 236745, 2802, 506, 5058, 5467, 2907, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 531, 13901, 1239, 12420, 2721, 580, 822, 7675, 528, 2460, 6995, 236787, 108, 1018, 236770, 236761, 22282, 77372, 1174, 528, 9293, 859, 15922, 53121, 107, 236772, 5213, 8410, 236772, 22515, 19180, 1018, 236743, 247975, 238178, 138, 107, 138, 13908, 573, 12420, 600, 3204, 808, 9238, 236772, 12392, 29014, 236829, 568, 236744, 236761, 236759, 1126, 7107, 5498, 2460, 90353, 236764, 66582, 4430, 25398, 236764, 653, 7715, 108665, 769, 3143, 2016, 15771, 236772, 2788, 6130, 11442, 1082, 6073, 7057, 236761, 138, 107, 138, 236772, 808, 12703, 149681, 14300, 623, 11099, 847, 529, 12209, 153025, 236775, 3204, 496, 1670, 11937, 2203, 1298, 611, 2731, 496, 18649, 2460, 699, 1502, 531, 9009, 236881, 108, 236772, 5213, 207386, 159634, 1018, 236743, 243767, 249281, 138, 107, 138, 6845, 768, 60115, 735, 5213, 87622, 3956, 2707, 1018, 568, 236744, 236761, 236759, 1126, 623, 236770, 236771, 236862, 1518, 15724, 11961, 4749, 236775, 7728, 236761, 1164, 623, 94636, 36762, 4248, 61286, 14739, 578, 2480, 83979, 9106, 236761, 138, 107, 138, 236772, 808, 40855, 149681, 6475, 506, 60115, 531, 16807, 910, 38737, 20183, 653, 3068, 4430, 981, 236761, 108, 236772, 5213, 36018, 8112, 1018, 236743, 248315, 138, 107, 138, 16904, 56856, 83073, 768, 901, 236858, 500, 5213, 87892, 684, 2460, 6995, 25493, 1018, 568, 236744, 236761, 236759, 1126, 61187, 653, 565, 32351, 769, 27587, 236764, 3213, 580, 12889, 236772, 21125, 236761, 138, 107, 138, 236772, 808, 71653, 522, 97372, 236829, 2473, 2729, 2344, 623, 1734, 76533, 236775, 840, 919, 4916, 236772, 498, 1550, 573, 496, 861, 47405, 236761, 108, 1018, 236778, 236761, 12713, 236772, 28906, 9908, 31727, 53121, 107, 236772, 5213, 13908, 573, 3143, 4855, 97669, 236786, 17224, 97669, 53121, 138, 107, 138, 236772, 808, 9264, 149681, 623, 207386, 2752, 21889, 531, 4137, 236775, 568, 75487, 97779, 236768, 653, 623, 4795, 6345, 2311, 13434, 1781, 138, 107, 138, 236772, 808, 17224, 149681, 623, 33593, 1144, 564, 8683, 531, 2601, 1041, 1171, 4430, 236775, 653, 623, 59932, 3847, 10683, 786, 3885, 1781, 138, 107, 138, 236772, 808, 71653, 42272, 149681, 1637, 10595, 4928, 623, 34710, 3004, 236775, 573, 29125, 522, 97372, 236764, 625, 2473, 11708, 506, 3718, 3385, 236761, 108, 236772, 5213, 51455, 3143, 23610, 53121, 138, 107, 138, 236772, 14300, 506, 3003, 3204, 5213, 19294, 742, 6436, 236786, 29706, 1018, 568, 236744, 236761, 236759, 1126, 166149, 236745, 28494, 236764, 4430, 22521, 6667, 20625, 138, 107, 138, 236772, 9354, 993, 5213, 28699, 1366, 236880, 236776, 14845, 1018, 653, 24240, 13859, 7760, 236881, 138, 107, 138, 236772, 14300, 506, 76112, 2890, 5213, 11147, 4331, 3298, 1018, 1133, 12804, 4430, 11104, 32753, 653, 1774, 236772, 20353, 28316, 4342, 236881, 108, 1018, 236800, 236761, 111506, 36376, 53121, 138, 107, 2859, 611, 236858, 500, 18716, 236787, 138, 107, 236772, 5213, 13751, 19908, 30021, 573, 1973, 24756, 1018, 808, 6005, 236829, 768, 611, 236858, 500, 4430, 236772, 56215, 3649, 580, 568, 22468, 7283, 563, 6749, 573, 44257, 7391, 769, 138, 107, 236772, 5213, 13751, 29125, 522, 97372, 1018, 808, 6005, 236829, 768, 611, 236858, 500, 22566, 1003, 4867, 3997, 568, 34717, 861, 67172, 1208, 10690, 653, 80849, 624, 519, 22050, 769, 138, 108, 10081, 784, 659, 52766, 236772, 5909, 236764, 1966, 61573, 1091, 236787, 1769, 29125, 522, 97372, 900, 90530, 529, 12209, 153025, 531, 2016, 39435, 6130, 236764, 1299, 1161, 19908, 30021, 3209, 618, 611, 1502, 62896, 7391, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1461, 1601, 66582, 4137, 531, 2679, 60115, 653, 90425, 522, 3530, 76112, 10458, 236888, 236743, 245305, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 560, 1010, 23021, 531, 974, 1131, 2460, 6995, 236764, 532, 564, 1765, 672, 3489, 3003, 5058, 2760, 12209, 1489, 42478, 600, 1451, 2126, 1601, 786, 1984, 872, 236761, 564, 10227, 872, 573, 625, 236764, 840, 564, 236789, 236757, 2963, 13007, 19346, 528, 236761, 28344, 611, 1601, 786, 974, 1131, 1041, 2881, 236881, 5715, 236789, 236751, 1041, 15345, 236787, 82093, 703, 236770, 236819, 532, 8918, 236787, 221385, 23988, 236778, 236771, 236778, 236800, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8494, 236779, 547, 1083, 623, 62652, 236779, 236767, 2323, 703, 236770, 236819, 236779, 236778, 236771, 236778, 236810, 236771, 236812, 236770, 236810, 827, 623, 2364, 236779, 547, 1083, 623, 20268, 236779, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 5034, 827, 623, 126452, 236779, 495, 1083, 623, 236778, 3885, 827, 623, 4375, 1083, 623, 11502, 6595, 236761, 25780, 6697, 573, 2430, 82093, 703, 236770, 236819, 1781, 236783, 106, 107, 105, 4368, 107, 3048, 236789, 560, 10428, 32575, 1131, 12209, 1489, 42478, 236764, 25416, 703, 236888, 204906, 138, 107, 11069, 6478, 563, 1492, 5158, 568, 8494, 5853, 236787, 2165, 62652, 236779, 236767, 2323, 703, 236770, 236819, 236779, 236778, 236771, 236778, 236810, 236771, 236812, 236770, 236810, 18833, 532, 795, 4595, 4341, 573, 236743, 236778, 3885, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 67112, 506, 5058, 653, 10264, 822, 6478, 5158, 236888, 106, 107, 105, 2364, 107, 12879, 573, 3978, 786, 32575, 528, 236888, 4224, 600, 564, 236789, 236757, 528, 236764, 1451, 611, 1601, 786, 1586, 1070, 52766, 12420, 580, 2460, 39252, 532, 4430, 7283, 236881, 564, 5004, 496, 3927, 3029, 580, 506, 36112, 840, 564, 236789, 236757, 711, 2889, 1217, 531, 5957, 684, 12889, 1984, 236761, 15704, 692, 1451, 1502, 607, 12420, 600, 735, 756, 11099, 847, 236789, 653, 756, 81605, 531, 236789, 528, 506, 3822, 236881, 564, 236789, 236753, 2765, 531, 91096, 496, 2321, 3835, 532, 7463, 2426, 910, 46684, 15922, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 16126, 611, 236789, 500, 528, 236888, 5978, 564, 740, 236789, 236745, 5467, 12740, 607, 12209, 1489, 42478, 236789, 236751, 3927, 3029, 653, 91096, 4065, 568, 25142, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 7937, 779, 564, 740, 8426, 8214, 611, 1343, 506, 1657, 236787, 108, 236770, 236761, 5213, 8980, 34428, 66515, 15325, 28751, 3755, 1133, 623, 11099, 847, 529, 12209, 22113, 236775, 653, 623, 81605, 531, 19908, 30021, 236775, 528, 506, 3927, 3029, 236761, 7660, 14175, 11269, 5957, 2536, 618, 611, 1722, 236761, 108, 236778, 236761, 5213, 10296, 684, 73384, 16575, 66515, 11696, 573, 18774, 1133, 623, 27426, 1250, 2098, 623, 92495, 16575, 236787, 236743, 236770, 2098, 653, 623, 10356, 236772, 9501, 236775, 528, 506, 3927, 2536, 56664, 236761, 3143, 3187, 3196, 1308, 611, 5273, 496, 3927, 1941, 236761, 108, 236800, 236761, 5213, 27216, 9293, 859, 15922, 66515, 187597, 580, 3141, 3003, 8651, 1374, 16913, 919, 4889, 236764, 2440, 46684, 15922, 236764, 34270, 33010, 236764, 532, 128647, 236761, 108, 236812, 236761, 5213, 9020, 104921, 66515, 1637, 611, 1460, 496, 3710, 4822, 236764, 4381, 236764, 653, 623, 14000, 573, 25243, 236775, 4309, 580, 3003, 8651, 236764, 600, 236789, 236751, 506, 5058, 236789, 236751, 91096, 522, 1458, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 611, 12262, 3530, 3927, 27490, 653, 39961, 1027, 3003, 29141, 3622, 611, 1586, 1091, 236881, 103453, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 14984, 236888, 564, 1765, 1806, 12420, 600, 1385, 23284, 236787, 236743, 236770, 236761, 808, 11099, 847, 529, 12209, 153025, 236829, 568, 236812, 5695, 236764, 609, 236770, 236819, 236819, 236768, 236743, 236778, 236761, 808, 5950, 30021, 573, 1973, 24756, 236829, 568, 236825, 5695, 236764, 609, 236778, 236812, 236819, 236768, 236743, 236800, 236761, 808, 71653, 522, 97372, 236829, 568, 236800, 5695, 236764, 609, 236770, 236812, 236819, 236768, 2343, 1407, 623, 27426, 1250, 236775, 16616, 236764, 840, 564, 1461, 531, 10769, 910, 46684, 15922, 1680, 146652, 236761, 28344, 611, 1601, 786, 2541, 1679, 1144, 531, 56856, 528, 506, 3003, 4889, 236881, 1701, 2591, 236764, 1374, 564, 3213, 580, 83073, 236764, 34270, 28150, 236764, 653, 2203, 236772, 5140, 4735, 236881, 6542, 236764, 776, 611, 735, 11221, 573, 4071, 236772, 35380, 9908, 10595, 768, 901, 236858, 500, 2487, 7462, 568, 236777, 1202, 1601, 32187, 3003, 1550, 2721, 580, 1116, 6334, 7675, 532, 22195, 236764, 1581, 3635, 564, 740, 236789, 236745, 2802, 506, 5058, 5467, 2907, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 531, 13901, 1239, 12420, 2721, 580, 822, 7675, 528, 2460, 6995, 236787, 108, 1018, 236770, 236761, 22282, 77372, 1174, 528, 9293, 859, 15922, 53121, 107, 236772, 5213, 8410, 236772, 22515, 19180, 1018, 236743, 247975, 238178, 138, 107, 138, 13908, 573, 12420, 600, 3204, 808, 9238, 236772, 12392, 29014, 236829, 568, 236744, 236761, 236759, 1126, 7107, 5498, 2460, 90353, 236764, 66582, 4430, 25398, 236764, 653, 7715, 108665, 769, 3143, 2016, 15771, 236772, 2788, 6130, 11442, 1082, 6073, 7057, 236761, 138, 107, 138, 236772, 808, 12703, 149681, 14300, 623, 11099, 847, 529, 12209, 153025, 236775, 3204, 496, 1670, 11937, 2203, 1298, 611, 2731, 496, 18649, 2460, 699, 1502, 531, 9009, 236881, 108, 236772, 5213, 207386, 159634, 1018, 236743, 243767, 249281, 138, 107, 138, 6845, 768, 60115, 735, 5213, 87622, 3956, 2707, 1018, 568, 236744, 236761, 236759, 1126, 623, 236770, 236771, 236862, 1518, 15724, 11961, 4749, 236775, 7728, 236761, 1164, 623, 94636, 36762, 4248, 61286, 14739, 578, 2480, 83979, 9106, 236761, 138, 107, 138, 236772, 808, 40855, 149681, 6475, 506, 60115, 531, 16807, 910, 38737, 20183, 653, 3068, 4430, 981, 236761, 108, 236772, 5213, 36018, 8112, 1018, 236743, 248315, 138, 107, 138, 16904, 56856, 83073, 768, 901, 236858, 500, 5213, 87892, 684, 2460, 6995, 25493, 1018, 568, 236744, 236761, 236759, 1126, 61187, 653, 565, 32351, 769, 27587, 236764, 3213, 580, 12889, 236772, 21125, 236761, 138, 107, 138, 236772, 808, 71653, 522, 97372, 236829, 2473, 2729, 2344, 623, 1734, 76533, 236775, 840, 919, 4916, 236772, 498, 1550, 573, 496, 861, 47405, 236761, 108, 1018, 236778, 236761, 12713, 236772, 28906, 9908, 31727, 53121, 107, 236772, 5213, 13908, 573, 3143, 4855, 97669, 236786, 17224, 97669, 53121, 138, 107, 138, 236772, 808, 9264, 149681, 623, 207386, 2752, 21889, 531, 4137, 236775, 568, 75487, 97779, 236768, 653, 623, 4795, 6345, 2311, 13434, 1781, 138, 107, 138, 236772, 808, 17224, 149681, 623, 33593, 1144, 564, 8683, 531, 2601, 1041, 1171, 4430, 236775, 653, 623, 59932, 3847, 10683, 786, 3885, 1781, 138, 107, 138, 236772, 808, 71653, 42272, 149681, 1637, 10595, 4928, 623, 34710, 3004, 236775, 573, 29125, 522, 97372, 236764, 625, 2473, 11708, 506, 3718, 3385, 236761, 108, 236772, 5213, 51455, 3143, 23610, 53121, 138, 107, 138, 236772, 14300, 506, 3003, 3204, 5213, 19294, 742, 6436, 236786, 29706, 1018, 568, 236744, 236761, 236759, 1126, 166149, 236745, 28494, 236764, 4430, 22521, 6667, 20625, 138, 107, 138, 236772, 9354, 993, 5213, 28699, 1366, 236880, 236776, 14845, 1018, 653, 24240, 13859, 7760, 236881, 138, 107, 138, 236772, 14300, 506, 76112, 2890, 5213, 11147, 4331, 3298, 1018, 1133, 12804, 4430, 11104, 32753, 653, 1774, 236772, 20353, 28316, 4342, 236881, 108, 1018, 236800, 236761, 111506, 36376, 53121, 138, 107, 2859, 611, 236858, 500, 18716, 236787, 138, 107, 236772, 5213, 13751, 19908, 30021, 573, 1973, 24756, 1018, 808, 6005, 236829, 768, 611, 236858, 500, 4430, 236772, 56215, 3649, 580, 568, 22468, 7283, 563, 6749, 573, 44257, 7391, 769, 138, 107, 236772, 5213, 13751, 29125, 522, 97372, 1018, 808, 6005, 236829, 768, 611, 236858, 500, 22566, 1003, 4867, 3997, 568, 34717, 861, 67172, 1208, 10690, 653, 80849, 624, 519, 22050, 769, 138, 108, 10081, 784, 659, 52766, 236772, 5909, 236764, 1966, 61573, 1091, 236787, 1769, 29125, 522, 97372, 900, 90530, 529, 12209, 153025, 531, 2016, 39435, 6130, 236764, 1299, 1161, 19908, 30021, 3209, 618, 611, 1502, 62896, 7391, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1461, 1601, 66582, 4137, 531, 2679, 60115, 653, 90425, 522, 3530, 76112, 10458, 236888, 236743, 245305, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 25470, 496, 7073, 573, 506, 177506, 4585, 79535, 532, 1202, 531, 16807, 1239, 4553, 19246, 573, 496, 4430, 236789, 236751, 27715, 236787, 109643, 523, 4755, 236940, 18112, 236761, 854, 236764, 80902, 236940, 7617, 2618, 236761, 854, 236764, 76383, 236940, 2763, 49090, 236761, 2108, 236761, 7323, 2426, 1546, 886, 1699, 506, 2426, 236779, 1708, 236779, 2763, 49090, 236779, 113907, 5904, 236764, 1299, 1694, 1186, 506, 4341, 236764, 1908, 236772, 2763, 49090, 24157, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 2763, 49090, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 3940, 236940, 7617, 2618, 236761, 854, 827, 623, 511, 236779, 2763, 49090, 1083, 1847, 236764, 623, 27388, 1083, 623, 31212, 6262, 2618, 236761, 854, 563, 580, 51415, 4553, 212714, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 2763, 49090, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 4341, 236764, 1908, 236772, 2763, 49090, 4553, 3421, 573, 822, 27715, 7073, 563, 236787, 108, 236772, 5213, 236804, 1810, 523, 4755, 236940, 18112, 236761, 854, 1018, 108, 818, 1032, 19246, 20442, 3940, 236940, 7617, 2618, 236761, 854, 236929, 532, 2165, 86733, 236940, 2763, 49090, 236761, 2108, 18833, 964, 8385, 618, 51415, 532, 1374, 577, 26558, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 25470, 496, 7073, 573, 506, 177506, 4585, 79535, 532, 1202, 531, 16807, 1239, 4553, 19246, 573, 496, 4430, 236789, 236751, 27715, 236787, 109643, 523, 4755, 236940, 18112, 236761, 854, 236764, 80902, 236940, 7617, 2618, 236761, 854, 236764, 76383, 236940, 2763, 49090, 236761, 2108, 236761, 7323, 2426, 1546, 886, 1699, 506, 2426, 236779, 1708, 236779, 2763, 49090, 236779, 113907, 5904, 236764, 1299, 1694, 1186, 506, 4341, 236764, 1908, 236772, 2763, 49090, 24157, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 2763, 49090, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 3940, 236940, 7617, 2618, 236761, 854, 827, 623, 511, 236779, 2763, 49090, 1083, 1847, 236764, 623, 27388, 1083, 623, 31212, 6262, 2618, 236761, 854, 563, 580, 51415, 4553, 212714, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 2763, 49090, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 4341, 236764, 1908, 236772, 2763, 49090, 4553, 3421, 573, 822, 27715, 7073, 563, 236787, 108, 236772, 5213, 236804, 1810, 523, 4755, 236940, 18112, 236761, 854, 1018, 108, 818, 1032, 19246, 20442, 3940, 236940, 7617, 2618, 236761, 854, 236929, 532, 2165, 86733, 236940, 2763, 49090, 236761, 2108, 18833, 964, 8385, 618, 51415, 532, 1374, 577, 26558, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102774, 28718, 236787, 564, 1202, 1601, 32187, 614, 12940, 7073, 573, 1023, 7905, 236789, 236751, 861, 15653, 12434, 1948, 236761, 3199, 611, 33205, 506, 3736, 1262, 573, 7073, 5853, 177162, 236778, 236771, 236778, 236800, 236772, 10284, 1699, 506, 12619, 5904, 236881, 564, 1461, 531, 1861, 672, 531, 506, 2528, 3905, 2148, 2069, 236764, 840, 564, 236789, 236757, 10099, 506, 4068, 19455, 1537, 236789, 236745, 1407, 506, 3399, 15154, 692, 4275, 236761, 3792, 786, 1281, 1144, 11979, 855, 531, 611, 1003, 506, 4845, 236772, 17429, 6224, 532, 46144, 28307, 20294, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 827, 623, 4818, 1083, 623, 5034, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236828, 236778, 236771, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236812, 236778, 236832, 236810, 236764, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 746, 58555, 1083, 236743, 236828, 236819, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 6725, 236779, 141249, 1083, 236743, 236770, 236819, 236778, 236800, 236761, 236832, 236810, 1263, 623, 10258, 50376, 1083, 3714, 676, 236779, 19243, 1083, 3714, 236770, 236828, 236772, 236778, 236812, 1083, 236743, 236778, 236778, 236764, 623, 236778, 236810, 236772, 236800, 236812, 1083, 236743, 236800, 236810, 236764, 623, 236800, 236810, 236772, 236812, 236812, 1083, 236743, 236770, 236828, 236764, 623, 236812, 236810, 236772, 236810, 236812, 1083, 236743, 236770, 236810, 236764, 623, 236810, 236810, 236862, 1083, 236743, 236770, 236771, 1263, 623, 234863, 236779, 223205, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236825, 236778, 236764, 623, 2204, 45091, 1083, 236743, 236778, 236828, 236764, 623, 116994, 1083, 236743, 236770, 236771, 5237, 623, 13308, 1083, 3714, 3991, 236779, 68219, 236779, 553, 1083, 623, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 827, 623, 117835, 236779, 68219, 236779, 553, 1083, 623, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236832, 827, 623, 92506, 236779, 58043, 1083, 623, 1048, 1476, 827, 623, 23184, 1083, 623, 5147, 236772, 17429, 3136, 3831, 236743, 236770, 236828, 236908, 11531, 2338, 7073, 8912, 236761, 148320, 15154, 32839, 13023, 4106, 684, 236743, 236800, 236787, 236770, 7232, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1262, 573, 7073, 177162, 236778, 236771, 236778, 236800, 236772, 10284, 21577, 1800, 28386, 532, 7760, 573, 11531, 236761, 5715, 236789, 236751, 496, 63510, 3671, 236787, 108, 1018, 5147, 236772, 24452, 25870, 568, 97227, 1473, 1018, 138, 107, 236772, 14040, 86239, 236787, 236743, 236778, 236761, 236800, 236810, 236908, 138, 107, 236772, 44771, 7003, 236787, 236743, 236770, 236828, 236908, 11531, 2338, 8912, 236764, 17674, 6730, 20294, 138, 107, 236772, 11117, 9286, 236787, 609, 236771, 236761, 236812, 236810, 4398, 2157, 810, 4845, 607, 236743, 236828, 236819, 63680, 699, 609, 236770, 236764, 236819, 236778, 236800, 236761, 236832, 236810, 2558, 8559, 138, 108, 1018, 28498, 9814, 132696, 53121, 138, 107, 236770, 236761, 5213, 8534, 9998, 53121, 236743, 236778, 236810, 236772, 236800, 236812, 3911, 2299, 568, 236800, 236810, 236908, 15154, 236768, 138, 107, 236778, 236761, 5213, 8551, 9814, 87422, 53121, 138, 107, 139, 236772, 4085, 3988, 71601, 568, 236825, 236778, 11376, 138, 107, 139, 236772, 5375, 45091, 1407, 236743, 236800, 236781, 3715, 15154, 1082, 13023, 4106, 568, 236778, 236828, 236908, 7728, 236743, 236770, 236771, 11376, 138, 108, 1018, 201430, 573, 4930, 6885, 62720, 53121, 138, 107, 236770, 236761, 118189, 506, 31097, 15154, 7003, 532, 2157, 236772, 25931, 86239, 138, 107, 236778, 236761, 15874, 13023, 15154, 11302, 607, 20054, 30981, 138, 107, 236800, 236761, 121353, 1903, 236772, 68219, 772, 568, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 236768, 573, 35401, 2630, 5872, 138, 107, 236812, 236761, 14066, 544, 14347, 1194, 7715, 531, 13878, 54548, 236772, 1071, 236772, 116994, 43285, 7232, 138, 108, 38786, 611, 1133, 786, 531, 3600, 3530, 30981, 573, 506, 13023, 15154, 7545, 653, 18840, 506, 1903, 772, 236789, 236751, 3004, 4820, 236881, 106, 107, 105, 2364, 107, 102774, 28718, 236787, 3792, 236789, 236751, 18840, 506, 1903, 236772, 68219, 772, 568, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 236768, 600, 691, 6950, 236761, 28344, 611, 33205, 1061, 3530, 3004, 4820, 532, 3736, 19455, 1699, 506, 12619, 5904, 236881, 564, 236789, 236753, 1133, 531, 3050, 1144, 1603, 672, 772, 114542, 834, 1388, 753, 691, 625, 506, 7426, 3117, 236764, 506, 39389, 1003, 3399, 33000, 236764, 653, 506, 2246, 236772, 1071, 236772, 2064, 236881, 1174, 795, 1601, 775, 53785, 1061, 2630, 528, 13023, 43285, 30981, 236761, 106, 107, 105, 4368, 107, 818, 12619, 5904, 4728, 7073, 236772, 5909, 19455, 532, 3736, 92681, 840, 4038, 236789, 236745, 3204, 60333, 3004, 3671, 529, 3141, 19388, 568, 5282, 7426, 3117, 653, 3530, 39389, 4820, 236768, 528, 1061, 1873, 18544, 236761, 2282, 18840, 506, 3004, 529, 177162, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 236764, 692, 1093, 1202, 2802, 531, 9578, 14431, 82341, 653, 562, 236786, 236799, 7257, 6436, 600, 10050, 236789, 236745, 2487, 1590, 236761, 236743, 108, 9675, 236764, 2721, 580, 506, 6330, 1262, 236787, 107, 236770, 236761, 669, 772, 236789, 236751, 2630, 4547, 38069, 699, 1061, 25000, 607, 506, 7073, 236789, 236751, 32879, 236772, 68219, 46144, 568, 236778, 236810, 236772, 236800, 236812, 3911, 2299, 236768, 107, 236778, 236761, 669, 623, 1048, 1476, 15154, 7003, 236775, 5433, 12205, 21238, 653, 58344, 5872, 1149, 735, 19263, 531, 1061, 20294, 107, 236800, 236761, 73888, 3736, 9935, 30626, 625, 2473, 735, 166152, 6412, 1388, 607, 54548, 28675, 568, 236778, 236828, 236908, 15154, 236768, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 1255, 3518, 496, 10318, 573, 32187, 506, 772, 236789, 236751, 3435, 3004, 28386, 2721, 580, 4077, 7009, 12466, 236881, 107, 236778, 236761, 59336, 30981, 531, 53785, 1061, 2630, 528, 13023, 4106, 1699, 506, 1262, 692, 735, 236881, 107, 236800, 236761, 49644, 4767, 19455, 692, 1451, 4087, 528, 3402, 24742, 531, 2480, 3050, 772, 3004, 20294, 236881, 106, 107, 105, 2364, 107, 102774, 28718, 236787, 3792, 236789, 236751, 817, 607, 5086, 236743, 236778, 753, 3600, 3530, 30981, 531, 53785, 506, 772, 236789, 236751, 2630, 528, 13023, 4106, 1699, 506, 1262, 692, 3016, 735, 236761, 30235, 580, 83979, 6555, 692, 740, 4144, 1680, 506, 2528, 3905, 5395, 236761, 28344, 611, 992, 20017, 1217, 692, 2473, 544, 58895, 7715, 1534, 42442, 20875, 2721, 580, 506, 236743, 236800, 236781, 15154, 87422, 236881, 564, 236789, 236753, 1133, 12625, 15136, 573, 145931, 1023, 39389, 532, 28307, 11298, 236761, 106, 107, 105, 4368, 107, 8291, 659, 12625, 236764, 1262, 236772, 27612, 15136, 573, 14526, 13023, 15154, 532, 544, 14347, 1194, 7715, 2721, 580, 506, 236743, 236800, 236781, 87422, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 73888, 29125, 1276, 87074, 1018, 138, 107, 1018, 8782, 101816, 34010, 568, 122598, 1473, 1018, 138, 107, 236772, 4085, 6022, 236787, 2578, 236825, 236778, 236908, 138, 107, 236772, 5375, 45091, 236787, 2578, 236778, 236828, 236908, 138, 107, 236772, 39259, 236787, 2578, 236770, 236771, 236908, 138, 108, 1018, 116499, 89282, 53121, 138, 107, 236772, 5213, 43763, 236743, 236770, 236771, 236908, 529, 3207, 3988, 8559, 531, 13023, 4106, 1018, 568, 1951, 9918, 236787, 236743, 236810, 236778, 236908, 3207, 236764, 236743, 236778, 236828, 236908, 56721, 236764, 236743, 236778, 236771, 236908, 13023, 769, 138, 107, 138, 236772, 14691, 236787, 4934, 609, 236770, 236764, 236819, 236778, 236800, 236761, 236832, 236810, 2558, 236764, 3553, 13023, 25519, 699, 202721, 236770, 236819, 236778, 531, 202721, 236800, 236828, 236810, 236786, 11283, 236761, 138, 107, 236772, 5213, 224693, 53121, 5375, 45091, 3016, 112530, 13023, 4106, 236743, 236800, 236787, 236770, 236793, 2233, 528, 1208, 68219, 9576, 1651, 16977, 54548, 14700, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 139517, 35593, 1230, 573, 39259, 40499, 2015, 1018, 138, 107, 1018, 3503, 142321, 5896, 18186, 580, 8231, 2341, 236858, 236751, 169931, 21942, 53163, 53121, 138, 107, 236772, 5213, 13149, 969, 16748, 53121, 138, 107, 138, 236772, 118189, 33000, 607, 13023, 7958, 653, 3399, 73696, 568, 236744, 236761, 236759, 1126, 999, 22163, 15653, 6607, 657, 870, 13149, 39259, 4930, 236842, 58283, 138, 107, 138, 236772, 6890, 106834, 699, 13023, 6296, 236786, 82474, 236761, 138, 107, 236772, 5213, 74874, 2926, 9861, 236772, 1071, 236772, 4396, 568, 133360, 1473, 1018, 138, 107, 138, 236772, 53575, 699, 19920, 999, 30354, 4643, 236919, 531, 2970, 236772, 29963, 21044, 2205, 1133, 999, 10150, 5827, 573, 9617, 122354, 657, 870, 13149, 11493, 6022, 189326, 138, 107, 236772, 5213, 20216, 35593, 1230, 53121, 138, 107, 138, 236772, 37868, 41001, 529, 13023, 39339, 236764, 2263, 4749, 236764, 653, 2528, 5085, 568, 584, 2653, 769, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 132696, 34428, 47203, 1018, 138, 107, 236772, 5213, 46866, 514, 132696, 53121, 138, 107, 138, 236772, 30235, 580, 13023, 6296, 529, 751, 236772, 236770, 236778, 3272, 1699, 2263, 2528, 7905, 8221, 4402, 653, 64570, 12230, 236761, 138, 107, 138, 236772, 23170, 10521, 1133, 999, 6047, 3399, 4749, 236919, 653, 999, 116994, 4993, 1827, 138, 107, 236772, 5213, 100651, 62840, 53121, 138, 107, 138, 236772, 9793, 19388, 1913, 11519, 13023, 15154, 3885, 568, 236744, 236761, 236759, 1126, 58405, 236786, 6047, 38025, 769, 138, 107, 236772, 5213, 131115, 1837, 71792, 2540, 53121, 138, 107, 138, 236772, 200607, 607, 13023, 25027, 236764, 26975, 236764, 653, 3399, 16545, 531, 1028, 236772, 167368, 19388, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 113970, 54832, 9620, 568, 3695, 236772, 17839, 25402, 62902, 138, 107, 236772, 5213, 3694, 29125, 53575, 53121, 168875, 609, 236770, 236771, 236771, 4481, 531, 13023, 28307, 672, 2069, 236761, 138, 107, 236772, 5213, 31794, 236743, 236778, 222608, 53121, 138, 107, 138, 236772, 5213, 69113, 562, 53121, 139517, 10317, 580, 999, 46640, 118836, 236919, 568, 236744, 236761, 236759, 1126, 999, 98346, 522, 607, 870, 115047, 4930, 236842, 531, 3437, 15653, 531, 822, 3272, 58283, 138, 107, 138, 236772, 5213, 69113, 603, 53121, 139517, 10317, 580, 999, 143389, 236919, 568, 236744, 236761, 236759, 1126, 999, 15370, 15653, 6607, 2487, 528, 870, 115047, 12258, 7343, 236842, 58283, 138, 107, 236772, 5213, 32866, 53121, 30452, 86239, 532, 63680, 528, 13023, 4106, 1024, 236743, 236832, 2668, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 116589, 531, 8708, 531, 506, 4930, 6885, 1018, 138, 107, 236772, 5213, 3695, 236786, 7118, 89282, 86239, 53121, 44906, 13023, 86239, 1680, 532, 1308, 7715, 24637, 236761, 138, 107, 236772, 5213, 8534, 77790, 39259, 2341, 146604, 53121, 118189, 837, 39389, 119636, 1346, 236761, 138, 107, 236772, 5213, 23077, 3398, 67292, 53121, 8754, 9286, 529, 13023, 8559, 1868, 236772, 236287, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 236743, 236778, 236772, 20353, 41898, 12861, 573, 506, 2528, 3905, 151847, 1239, 30981, 532, 910, 4275, 4100, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102774, 28718, 236787, 564, 1202, 1601, 32187, 614, 12940, 7073, 573, 1023, 7905, 236789, 236751, 861, 15653, 12434, 1948, 236761, 3199, 611, 33205, 506, 3736, 1262, 573, 7073, 5853, 177162, 236778, 236771, 236778, 236800, 236772, 10284, 1699, 506, 12619, 5904, 236881, 564, 1461, 531, 1861, 672, 531, 506, 2528, 3905, 2148, 2069, 236764, 840, 564, 236789, 236757, 10099, 506, 4068, 19455, 1537, 236789, 236745, 1407, 506, 3399, 15154, 692, 4275, 236761, 3792, 786, 1281, 1144, 11979, 855, 531, 611, 1003, 506, 4845, 236772, 17429, 6224, 532, 46144, 28307, 20294, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 827, 623, 4818, 1083, 623, 5034, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236828, 236778, 236771, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236812, 236778, 236832, 236810, 236764, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 746, 58555, 1083, 236743, 236828, 236819, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 6725, 236779, 141249, 1083, 236743, 236770, 236819, 236778, 236800, 236761, 236832, 236810, 1263, 623, 10258, 50376, 1083, 3714, 676, 236779, 19243, 1083, 3714, 236770, 236828, 236772, 236778, 236812, 1083, 236743, 236778, 236778, 236764, 623, 236778, 236810, 236772, 236800, 236812, 1083, 236743, 236800, 236810, 236764, 623, 236800, 236810, 236772, 236812, 236812, 1083, 236743, 236770, 236828, 236764, 623, 236812, 236810, 236772, 236810, 236812, 1083, 236743, 236770, 236810, 236764, 623, 236810, 236810, 236862, 1083, 236743, 236770, 236771, 1263, 623, 234863, 236779, 223205, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236825, 236778, 236764, 623, 2204, 45091, 1083, 236743, 236778, 236828, 236764, 623, 116994, 1083, 236743, 236770, 236771, 5237, 623, 13308, 1083, 3714, 3991, 236779, 68219, 236779, 553, 1083, 623, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 827, 623, 117835, 236779, 68219, 236779, 553, 1083, 623, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236832, 827, 623, 92506, 236779, 58043, 1083, 623, 1048, 1476, 827, 623, 23184, 1083, 623, 5147, 236772, 17429, 3136, 3831, 236743, 236770, 236828, 236908, 11531, 2338, 7073, 8912, 236761, 148320, 15154, 32839, 13023, 4106, 684, 236743, 236800, 236787, 236770, 7232, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1262, 573, 7073, 177162, 236778, 236771, 236778, 236800, 236772, 10284, 21577, 1800, 28386, 532, 7760, 573, 11531, 236761, 5715, 236789, 236751, 496, 63510, 3671, 236787, 108, 1018, 5147, 236772, 24452, 25870, 568, 97227, 1473, 1018, 138, 107, 236772, 14040, 86239, 236787, 236743, 236778, 236761, 236800, 236810, 236908, 138, 107, 236772, 44771, 7003, 236787, 236743, 236770, 236828, 236908, 11531, 2338, 8912, 236764, 17674, 6730, 20294, 138, 107, 236772, 11117, 9286, 236787, 609, 236771, 236761, 236812, 236810, 4398, 2157, 810, 4845, 607, 236743, 236828, 236819, 63680, 699, 609, 236770, 236764, 236819, 236778, 236800, 236761, 236832, 236810, 2558, 8559, 138, 108, 1018, 28498, 9814, 132696, 53121, 138, 107, 236770, 236761, 5213, 8534, 9998, 53121, 236743, 236778, 236810, 236772, 236800, 236812, 3911, 2299, 568, 236800, 236810, 236908, 15154, 236768, 138, 107, 236778, 236761, 5213, 8551, 9814, 87422, 53121, 138, 107, 139, 236772, 4085, 3988, 71601, 568, 236825, 236778, 11376, 138, 107, 139, 236772, 5375, 45091, 1407, 236743, 236800, 236781, 3715, 15154, 1082, 13023, 4106, 568, 236778, 236828, 236908, 7728, 236743, 236770, 236771, 11376, 138, 108, 1018, 201430, 573, 4930, 6885, 62720, 53121, 138, 107, 236770, 236761, 118189, 506, 31097, 15154, 7003, 532, 2157, 236772, 25931, 86239, 138, 107, 236778, 236761, 15874, 13023, 15154, 11302, 607, 20054, 30981, 138, 107, 236800, 236761, 121353, 1903, 236772, 68219, 772, 568, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 236768, 573, 35401, 2630, 5872, 138, 107, 236812, 236761, 14066, 544, 14347, 1194, 7715, 531, 13878, 54548, 236772, 1071, 236772, 116994, 43285, 7232, 138, 108, 38786, 611, 1133, 786, 531, 3600, 3530, 30981, 573, 506, 13023, 15154, 7545, 653, 18840, 506, 1903, 772, 236789, 236751, 3004, 4820, 236881, 106, 107, 105, 2364, 107, 102774, 28718, 236787, 3792, 236789, 236751, 18840, 506, 1903, 236772, 68219, 772, 568, 193400, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 236768, 600, 691, 6950, 236761, 28344, 611, 33205, 1061, 3530, 3004, 4820, 532, 3736, 19455, 1699, 506, 12619, 5904, 236881, 564, 236789, 236753, 1133, 531, 3050, 1144, 1603, 672, 772, 114542, 834, 1388, 753, 691, 625, 506, 7426, 3117, 236764, 506, 39389, 1003, 3399, 33000, 236764, 653, 506, 2246, 236772, 1071, 236772, 2064, 236881, 1174, 795, 1601, 775, 53785, 1061, 2630, 528, 13023, 43285, 30981, 236761, 106, 107, 105, 4368, 107, 818, 12619, 5904, 4728, 7073, 236772, 5909, 19455, 532, 3736, 92681, 840, 4038, 236789, 236745, 3204, 60333, 3004, 3671, 529, 3141, 19388, 568, 5282, 7426, 3117, 653, 3530, 39389, 4820, 236768, 528, 1061, 1873, 18544, 236761, 2282, 18840, 506, 3004, 529, 177162, 236778, 236771, 236778, 236800, 236772, 10284, 236772, 236771, 236800, 236764, 692, 1093, 1202, 2802, 531, 9578, 14431, 82341, 653, 562, 236786, 236799, 7257, 6436, 600, 10050, 236789, 236745, 2487, 1590, 236761, 236743, 108, 9675, 236764, 2721, 580, 506, 6330, 1262, 236787, 107, 236770, 236761, 669, 772, 236789, 236751, 2630, 4547, 38069, 699, 1061, 25000, 607, 506, 7073, 236789, 236751, 32879, 236772, 68219, 46144, 568, 236778, 236810, 236772, 236800, 236812, 3911, 2299, 236768, 107, 236778, 236761, 669, 623, 1048, 1476, 15154, 7003, 236775, 5433, 12205, 21238, 653, 58344, 5872, 1149, 735, 19263, 531, 1061, 20294, 107, 236800, 236761, 73888, 3736, 9935, 30626, 625, 2473, 735, 166152, 6412, 1388, 607, 54548, 28675, 568, 236778, 236828, 236908, 15154, 236768, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 1255, 3518, 496, 10318, 573, 32187, 506, 772, 236789, 236751, 3435, 3004, 28386, 2721, 580, 4077, 7009, 12466, 236881, 107, 236778, 236761, 59336, 30981, 531, 53785, 1061, 2630, 528, 13023, 4106, 1699, 506, 1262, 692, 735, 236881, 107, 236800, 236761, 49644, 4767, 19455, 692, 1451, 4087, 528, 3402, 24742, 531, 2480, 3050, 772, 3004, 20294, 236881, 106, 107, 105, 2364, 107, 102774, 28718, 236787, 3792, 236789, 236751, 817, 607, 5086, 236743, 236778, 753, 3600, 3530, 30981, 531, 53785, 506, 772, 236789, 236751, 2630, 528, 13023, 4106, 1699, 506, 1262, 692, 3016, 735, 236761, 30235, 580, 83979, 6555, 692, 740, 4144, 1680, 506, 2528, 3905, 5395, 236761, 28344, 611, 992, 20017, 1217, 692, 2473, 544, 58895, 7715, 1534, 42442, 20875, 2721, 580, 506, 236743, 236800, 236781, 15154, 87422, 236881, 564, 236789, 236753, 1133, 12625, 15136, 573, 145931, 1023, 39389, 532, 28307, 11298, 236761, 106, 107, 105, 4368, 107, 8291, 659, 12625, 236764, 1262, 236772, 27612, 15136, 573, 14526, 13023, 15154, 532, 544, 14347, 1194, 7715, 2721, 580, 506, 236743, 236800, 236781, 87422, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 73888, 29125, 1276, 87074, 1018, 138, 107, 1018, 8782, 101816, 34010, 568, 122598, 1473, 1018, 138, 107, 236772, 4085, 6022, 236787, 2578, 236825, 236778, 236908, 138, 107, 236772, 5375, 45091, 236787, 2578, 236778, 236828, 236908, 138, 107, 236772, 39259, 236787, 2578, 236770, 236771, 236908, 138, 108, 1018, 116499, 89282, 53121, 138, 107, 236772, 5213, 43763, 236743, 236770, 236771, 236908, 529, 3207, 3988, 8559, 531, 13023, 4106, 1018, 568, 1951, 9918, 236787, 236743, 236810, 236778, 236908, 3207, 236764, 236743, 236778, 236828, 236908, 56721, 236764, 236743, 236778, 236771, 236908, 13023, 769, 138, 107, 138, 236772, 14691, 236787, 4934, 609, 236770, 236764, 236819, 236778, 236800, 236761, 236832, 236810, 2558, 236764, 3553, 13023, 25519, 699, 202721, 236770, 236819, 236778, 531, 202721, 236800, 236828, 236810, 236786, 11283, 236761, 138, 107, 236772, 5213, 224693, 53121, 5375, 45091, 3016, 112530, 13023, 4106, 236743, 236800, 236787, 236770, 236793, 2233, 528, 1208, 68219, 9576, 1651, 16977, 54548, 14700, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 139517, 35593, 1230, 573, 39259, 40499, 2015, 1018, 138, 107, 1018, 3503, 142321, 5896, 18186, 580, 8231, 2341, 236858, 236751, 169931, 21942, 53163, 53121, 138, 107, 236772, 5213, 13149, 969, 16748, 53121, 138, 107, 138, 236772, 118189, 33000, 607, 13023, 7958, 653, 3399, 73696, 568, 236744, 236761, 236759, 1126, 999, 22163, 15653, 6607, 657, 870, 13149, 39259, 4930, 236842, 58283, 138, 107, 138, 236772, 6890, 106834, 699, 13023, 6296, 236786, 82474, 236761, 138, 107, 236772, 5213, 74874, 2926, 9861, 236772, 1071, 236772, 4396, 568, 133360, 1473, 1018, 138, 107, 138, 236772, 53575, 699, 19920, 999, 30354, 4643, 236919, 531, 2970, 236772, 29963, 21044, 2205, 1133, 999, 10150, 5827, 573, 9617, 122354, 657, 870, 13149, 11493, 6022, 189326, 138, 107, 236772, 5213, 20216, 35593, 1230, 53121, 138, 107, 138, 236772, 37868, 41001, 529, 13023, 39339, 236764, 2263, 4749, 236764, 653, 2528, 5085, 568, 584, 2653, 769, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 132696, 34428, 47203, 1018, 138, 107, 236772, 5213, 46866, 514, 132696, 53121, 138, 107, 138, 236772, 30235, 580, 13023, 6296, 529, 751, 236772, 236770, 236778, 3272, 1699, 2263, 2528, 7905, 8221, 4402, 653, 64570, 12230, 236761, 138, 107, 138, 236772, 23170, 10521, 1133, 999, 6047, 3399, 4749, 236919, 653, 999, 116994, 4993, 1827, 138, 107, 236772, 5213, 100651, 62840, 53121, 138, 107, 138, 236772, 9793, 19388, 1913, 11519, 13023, 15154, 3885, 568, 236744, 236761, 236759, 1126, 58405, 236786, 6047, 38025, 769, 138, 107, 236772, 5213, 131115, 1837, 71792, 2540, 53121, 138, 107, 138, 236772, 200607, 607, 13023, 25027, 236764, 26975, 236764, 653, 3399, 16545, 531, 1028, 236772, 167368, 19388, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 113970, 54832, 9620, 568, 3695, 236772, 17839, 25402, 62902, 138, 107, 236772, 5213, 3694, 29125, 53575, 53121, 168875, 609, 236770, 236771, 236771, 4481, 531, 13023, 28307, 672, 2069, 236761, 138, 107, 236772, 5213, 31794, 236743, 236778, 222608, 53121, 138, 107, 138, 236772, 5213, 69113, 562, 53121, 139517, 10317, 580, 999, 46640, 118836, 236919, 568, 236744, 236761, 236759, 1126, 999, 98346, 522, 607, 870, 115047, 4930, 236842, 531, 3437, 15653, 531, 822, 3272, 58283, 138, 107, 138, 236772, 5213, 69113, 603, 53121, 139517, 10317, 580, 999, 143389, 236919, 568, 236744, 236761, 236759, 1126, 999, 15370, 15653, 6607, 2487, 528, 870, 115047, 12258, 7343, 236842, 58283, 138, 107, 236772, 5213, 32866, 53121, 30452, 86239, 532, 63680, 528, 13023, 4106, 1024, 236743, 236832, 2668, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 116589, 531, 8708, 531, 506, 4930, 6885, 1018, 138, 107, 236772, 5213, 3695, 236786, 7118, 89282, 86239, 53121, 44906, 13023, 86239, 1680, 532, 1308, 7715, 24637, 236761, 138, 107, 236772, 5213, 8534, 77790, 39259, 2341, 146604, 53121, 118189, 837, 39389, 119636, 1346, 236761, 138, 107, 236772, 5213, 23077, 3398, 67292, 53121, 8754, 9286, 529, 13023, 8559, 1868, 236772, 236287, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 236743, 236778, 236772, 20353, 41898, 12861, 573, 506, 2528, 3905, 151847, 1239, 30981, 532, 910, 4275, 4100, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 9735, 13763, 7946, 531, 506, 46963, 7768, 62478, 532, 1202, 1601, 35447, 625, 236761, 5315, 236764, 564, 1461, 531, 2426, 837, 31171, 7500, 4681, 659, 13451, 573, 17597, 22817, 531, 506, 2433, 1271, 7463, 496, 11862, 236772, 236847, 653, 54832, 236881, 4298, 236764, 564, 1202, 531, 1586, 496, 8217, 3541, 506, 7768, 62478, 607, 1822, 10595, 532, 496, 1927, 529, 506, 8858, 236761, 7062, 236764, 532, 2338, 564, 236858, 859, 577, 993, 607, 1041, 45799, 8340, 99318, 236764, 564, 1374, 2426, 506, 26844, 573, 506, 45799, 236858, 2148, 2290, 531, 990, 1023, 6115, 19005, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11245, 1083, 78493, 1201, 1083, 623, 6459, 236772, 236847, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 122609, 827, 623, 2201, 827, 623, 2201, 236772, 236798, 827, 623, 39266, 522, 14255, 623, 16518, 1083, 11058, 236776, 31284, 827, 623, 126945, 827, 623, 131022, 5086, 827, 623, 236774, 51217, 8289, 152254, 3714, 1201, 1083, 623, 118575, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 122609, 827, 623, 2201, 827, 623, 2201, 236772, 236798, 827, 623, 39266, 522, 827, 623, 173067, 14255, 623, 16518, 1083, 11058, 236776, 31284, 827, 623, 236800, 236772, 809, 33398, 827, 623, 236774, 51217, 6541, 236787, 236743, 236810, 236771, 236771, 236771, 16931, 827, 623, 18318, 80811, 152254, 3714, 1201, 1083, 623, 46130, 65602, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 122609, 827, 623, 2201, 827, 623, 2201, 236772, 236798, 827, 623, 39266, 522, 827, 623, 173067, 14255, 623, 16518, 1083, 11058, 7762, 23617, 827, 623, 236828, 236772, 103570, 33398, 827, 623, 73239, 236772, 495, 16954, 827, 623, 113444, 16357, 1458, 152254, 3714, 1201, 1083, 623, 201598, 236759, 6152, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 21153, 827, 623, 236794, 19193, 827, 623, 236794, 19193, 236772, 236788, 827, 623, 6907, 19767, 14255, 623, 16518, 1083, 11058, 151218, 827, 623, 236776, 31284, 827, 623, 236774, 51217, 6541, 236787, 236743, 236810, 236771, 236771, 236771, 16931, 827, 623, 902, 236772, 4250, 32516, 6310, 99471, 1604, 623, 14210, 1083, 623, 75652, 573, 21016, 532, 20548, 2557, 9273, 573, 11690, 13290, 532, 2299, 4301, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 10617, 14255, 623, 29995, 1083, 642, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 41413, 1083, 78493, 5567, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236771, 236819, 236770, 236810, 236788, 2807, 827, 623, 68925, 1083, 623, 104561, 45799, 7728, 236761, 26057, 74478, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 79692, 1083, 3714, 34899, 1257, 1083, 3714, 8147, 236779, 14992, 1083, 10955, 236770, 236810, 236771, 827, 623, 14968, 236779, 14992, 1083, 9296, 236770, 236832, 236771, 23179, 623, 3947, 236779, 47706, 1083, 3714, 8147, 236779, 14992, 1083, 10955, 236800, 236761, 236810, 827, 623, 14968, 236779, 14992, 1083, 9296, 236800, 236761, 236810, 23179, 623, 1749, 236779, 6460, 1083, 3714, 6725, 236779, 11116, 1083, 623, 236812, 236810, 236761, 236810, 827, 623, 1749, 1083, 9296, 236770, 236770, 236771, 827, 623, 6460, 1083, 9296, 236770, 236770, 236771, 236775, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 23184, 1083, 623, 236788, 33423, 236789, 2148, 2290, 14812, 573, 5857, 236743, 236770, 236810, 594, 236761, 139135, 10448, 236743, 236800, 2668, 4578, 236761, 14066, 16329, 1063, 12532, 531, 2290, 1719, 573, 3892, 26844, 30981, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 58657, 236779, 547, 1083, 623, 7796, 22426, 236779, 7632, 236779, 27352, 236779, 7195, 236779, 1543, 236779, 58657, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236812, 236828, 236764, 623, 66850, 1083, 78493, 65908, 236779, 1201, 1083, 623, 104561, 12165, 1898, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 54133, 4563, 573, 10240, 13763, 506, 46963, 236888, 66053, 735, 19282, 8858, 8208, 532, 506, 4698, 10325, 1822, 2263, 24078, 1826, 236761, 146178, 964, 9650, 573, 1023, 2299, 529, 236743, 236812, 45799, 7807, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 65908, 236779, 1201, 1083, 623, 46797, 236798, 1749, 6597, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 114895, 15083, 1590, 753, 20246, 1913, 55614, 3409, 236761, 93456, 506, 20067, 7444, 1308, 95015, 76831, 580, 506, 1813, 236761, 5407, 33651, 1581, 19555, 1023, 515, 11833, 24602, 41218, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 23179, 3714, 65908, 236779, 1201, 1083, 623, 236788, 33423, 80262, 236812, 236778, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 20418, 8568, 3029, 607, 45799, 4972, 580, 784, 14692, 236888, 66053, 964, 3980, 840, 13932, 3835, 5809, 236761, 1255, 6508, 236787, 16499, 496, 38957, 2978, 13668, 506, 8858, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236778, 236828, 23179, 3714, 65908, 236779, 1201, 1083, 623, 191590, 149157, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 17043, 8217, 564, 236789, 560, 20246, 657, 3541, 506, 62478, 236761, 669, 13763, 17489, 5012, 9909, 53804, 532, 28172, 26931, 236761, 18982, 7261, 784, 506, 1791, 13763, 15629, 41218, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236828, 23179, 3714, 65908, 236779, 1201, 1083, 623, 50613, 2039, 236794, 15001, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 223411, 506, 4304, 13122, 2433, 45839, 506, 8858, 236761, 66053, 964, 4532, 607, 1822, 14484, 236772, 12383, 573, 21566, 4972, 236761, 21284, 236789, 560, 2238, 236743, 236810, 8197, 768, 711, 573, 506, 11202, 11595, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236771, 236810, 25938, 1604, 623, 6011, 1083, 3714, 7195, 236779, 1543, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 623, 91730, 236779, 12549, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 4043, 236779, 18865, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 2731, 573, 822, 46963, 7768, 62478, 13763, 7946, 236787, 108, 1018, 116379, 40088, 91330, 53121, 107, 236772, 5213, 6459, 236772, 236847, 568, 236778, 236771, 236778, 236800, 1473, 1018, 175088, 236764, 16217, 5086, 236764, 100432, 8289, 1271, 7436, 573, 13290, 532, 2299, 5203, 236761, 107, 236772, 5213, 118575, 568, 236778, 236771, 236778, 236800, 1473, 1018, 236743, 236800, 236772, 809, 33398, 236764, 236743, 236810, 236764, 236771, 236771, 236771, 16931, 100432, 6541, 1271, 1822, 573, 6268, 4402, 532, 5842, 236761, 107, 236772, 10508, 4681, 735, 1494, 21016, 24074, 532, 33503, 20548, 2557, 236761, 108, 1018, 54347, 19993, 236787, 46963, 7768, 62478, 7940, 5841, 12825, 1018, 107, 236772, 5213, 12127, 53121, 136723, 236743, 236812, 236761, 236832, 568, 236778, 236812, 236828, 27662, 10595, 236768, 107, 236772, 5213, 8534, 25772, 53121, 107, 138, 236772, 127705, 8858, 8208, 699, 38957, 11630, 107, 138, 236772, 63441, 17489, 607, 9909, 53804, 236786, 66414, 26931, 107, 138, 236772, 207607, 7444, 532, 33417, 531, 55614, 25568, 107, 138, 236772, 6308, 236772, 18865, 31087, 568, 70733, 3029, 607, 45799, 2290, 12606, 236768, 107, 236772, 5213, 54767, 70731, 53121, 236743, 107, 138, 236772, 623, 54133, 4563, 573, 10240, 13763, 236775, 236743, 107, 138, 236772, 623, 39986, 10325, 1822, 2263, 24078, 1826, 236775, 107, 138, 236772, 623, 19382, 13122, 2433, 45839, 506, 8858, 236775, 108, 1018, 236788, 33423, 9064, 121722, 53121, 107, 236772, 5213, 9272, 9064, 53121, 5110, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 104561, 45799, 7728, 236761, 26057, 74478, 236768, 107, 236772, 5213, 35922, 1257, 139135, 53121, 236743, 107, 138, 236772, 45799, 236787, 900, 236770, 236810, 236771, 236743, 107, 138, 236772, 74478, 236787, 753, 236770, 236832, 236771, 107, 236772, 5213, 14182, 26192, 121722, 42272, 53121, 9064, 9857, 657, 236743, 236828, 236787, 236800, 236771, 8711, 20157, 1271, 26844, 4610, 236743, 236800, 2668, 1680, 2290, 236761, 108, 38786, 611, 1133, 1601, 607, 8217, 22479, 236764, 7500, 33772, 236764, 653, 3892, 26844, 16074, 10884, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 9735, 13763, 7946, 531, 506, 46963, 7768, 62478, 532, 1202, 1601, 35447, 625, 236761, 5315, 236764, 564, 1461, 531, 2426, 837, 31171, 7500, 4681, 659, 13451, 573, 17597, 22817, 531, 506, 2433, 1271, 7463, 496, 11862, 236772, 236847, 653, 54832, 236881, 4298, 236764, 564, 1202, 531, 1586, 496, 8217, 3541, 506, 7768, 62478, 607, 1822, 10595, 532, 496, 1927, 529, 506, 8858, 236761, 7062, 236764, 532, 2338, 564, 236858, 859, 577, 993, 607, 1041, 45799, 8340, 99318, 236764, 564, 1374, 2426, 506, 26844, 573, 506, 45799, 236858, 2148, 2290, 531, 990, 1023, 6115, 19005, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11245, 1083, 78493, 1201, 1083, 623, 6459, 236772, 236847, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 122609, 827, 623, 2201, 827, 623, 2201, 236772, 236798, 827, 623, 39266, 522, 14255, 623, 16518, 1083, 11058, 236776, 31284, 827, 623, 126945, 827, 623, 131022, 5086, 827, 623, 236774, 51217, 8289, 152254, 3714, 1201, 1083, 623, 118575, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 122609, 827, 623, 2201, 827, 623, 2201, 236772, 236798, 827, 623, 39266, 522, 827, 623, 173067, 14255, 623, 16518, 1083, 11058, 236776, 31284, 827, 623, 236800, 236772, 809, 33398, 827, 623, 236774, 51217, 6541, 236787, 236743, 236810, 236771, 236771, 236771, 16931, 827, 623, 18318, 80811, 152254, 3714, 1201, 1083, 623, 46130, 65602, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 122609, 827, 623, 2201, 827, 623, 2201, 236772, 236798, 827, 623, 39266, 522, 827, 623, 173067, 14255, 623, 16518, 1083, 11058, 7762, 23617, 827, 623, 236828, 236772, 103570, 33398, 827, 623, 73239, 236772, 495, 16954, 827, 623, 113444, 16357, 1458, 152254, 3714, 1201, 1083, 623, 201598, 236759, 6152, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 18330, 236779, 66846, 1083, 11058, 21153, 827, 623, 236794, 19193, 827, 623, 236794, 19193, 236772, 236788, 827, 623, 6907, 19767, 14255, 623, 16518, 1083, 11058, 151218, 827, 623, 236776, 31284, 827, 623, 236774, 51217, 6541, 236787, 236743, 236810, 236771, 236771, 236771, 16931, 827, 623, 902, 236772, 4250, 32516, 6310, 99471, 1604, 623, 14210, 1083, 623, 75652, 573, 21016, 532, 20548, 2557, 9273, 573, 11690, 13290, 532, 2299, 4301, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 10617, 14255, 623, 29995, 1083, 642, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 41413, 1083, 78493, 5567, 236779, 547, 1083, 623, 138522, 236778, 236771, 236778, 236800, 236771, 236819, 236770, 236810, 236788, 2807, 827, 623, 68925, 1083, 623, 104561, 45799, 7728, 236761, 26057, 74478, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 79692, 1083, 3714, 34899, 1257, 1083, 3714, 8147, 236779, 14992, 1083, 10955, 236770, 236810, 236771, 827, 623, 14968, 236779, 14992, 1083, 9296, 236770, 236832, 236771, 23179, 623, 3947, 236779, 47706, 1083, 3714, 8147, 236779, 14992, 1083, 10955, 236800, 236761, 236810, 827, 623, 14968, 236779, 14992, 1083, 9296, 236800, 236761, 236810, 23179, 623, 1749, 236779, 6460, 1083, 3714, 6725, 236779, 11116, 1083, 623, 236812, 236810, 236761, 236810, 827, 623, 1749, 1083, 9296, 236770, 236770, 236771, 827, 623, 6460, 1083, 9296, 236770, 236770, 236771, 236775, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 23184, 1083, 623, 236788, 33423, 236789, 2148, 2290, 14812, 573, 5857, 236743, 236770, 236810, 594, 236761, 139135, 10448, 236743, 236800, 2668, 4578, 236761, 14066, 16329, 1063, 12532, 531, 2290, 1719, 573, 3892, 26844, 30981, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 58657, 236779, 547, 1083, 623, 7796, 22426, 236779, 7632, 236779, 27352, 236779, 7195, 236779, 1543, 236779, 58657, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236812, 236828, 236764, 623, 66850, 1083, 78493, 65908, 236779, 1201, 1083, 623, 104561, 12165, 1898, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 54133, 4563, 573, 10240, 13763, 506, 46963, 236888, 66053, 735, 19282, 8858, 8208, 532, 506, 4698, 10325, 1822, 2263, 24078, 1826, 236761, 146178, 964, 9650, 573, 1023, 2299, 529, 236743, 236812, 45799, 7807, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 65908, 236779, 1201, 1083, 623, 46797, 236798, 1749, 6597, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 114895, 15083, 1590, 753, 20246, 1913, 55614, 3409, 236761, 93456, 506, 20067, 7444, 1308, 95015, 76831, 580, 506, 1813, 236761, 5407, 33651, 1581, 19555, 1023, 515, 11833, 24602, 41218, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 23179, 3714, 65908, 236779, 1201, 1083, 623, 236788, 33423, 80262, 236812, 236778, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 20418, 8568, 3029, 607, 45799, 4972, 580, 784, 14692, 236888, 66053, 964, 3980, 840, 13932, 3835, 5809, 236761, 1255, 6508, 236787, 16499, 496, 38957, 2978, 13668, 506, 8858, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236778, 236828, 23179, 3714, 65908, 236779, 1201, 1083, 623, 191590, 149157, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 17043, 8217, 564, 236789, 560, 20246, 657, 3541, 506, 62478, 236761, 669, 13763, 17489, 5012, 9909, 53804, 532, 28172, 26931, 236761, 18982, 7261, 784, 506, 1791, 13763, 15629, 41218, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236828, 23179, 3714, 65908, 236779, 1201, 1083, 623, 50613, 2039, 236794, 15001, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 223411, 506, 4304, 13122, 2433, 45839, 506, 8858, 236761, 66053, 964, 4532, 607, 1822, 14484, 236772, 12383, 573, 21566, 4972, 236761, 21284, 236789, 560, 2238, 236743, 236810, 8197, 768, 711, 573, 506, 11202, 11595, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236771, 236810, 25938, 1604, 623, 6011, 1083, 3714, 7195, 236779, 1543, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 623, 91730, 236779, 12549, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 4043, 236779, 18865, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 2731, 573, 822, 46963, 7768, 62478, 13763, 7946, 236787, 108, 1018, 116379, 40088, 91330, 53121, 107, 236772, 5213, 6459, 236772, 236847, 568, 236778, 236771, 236778, 236800, 1473, 1018, 175088, 236764, 16217, 5086, 236764, 100432, 8289, 1271, 7436, 573, 13290, 532, 2299, 5203, 236761, 107, 236772, 5213, 118575, 568, 236778, 236771, 236778, 236800, 1473, 1018, 236743, 236800, 236772, 809, 33398, 236764, 236743, 236810, 236764, 236771, 236771, 236771, 16931, 100432, 6541, 1271, 1822, 573, 6268, 4402, 532, 5842, 236761, 107, 236772, 10508, 4681, 735, 1494, 21016, 24074, 532, 33503, 20548, 2557, 236761, 108, 1018, 54347, 19993, 236787, 46963, 7768, 62478, 7940, 5841, 12825, 1018, 107, 236772, 5213, 12127, 53121, 136723, 236743, 236812, 236761, 236832, 568, 236778, 236812, 236828, 27662, 10595, 236768, 107, 236772, 5213, 8534, 25772, 53121, 107, 138, 236772, 127705, 8858, 8208, 699, 38957, 11630, 107, 138, 236772, 63441, 17489, 607, 9909, 53804, 236786, 66414, 26931, 107, 138, 236772, 207607, 7444, 532, 33417, 531, 55614, 25568, 107, 138, 236772, 6308, 236772, 18865, 31087, 568, 70733, 3029, 607, 45799, 2290, 12606, 236768, 107, 236772, 5213, 54767, 70731, 53121, 236743, 107, 138, 236772, 623, 54133, 4563, 573, 10240, 13763, 236775, 236743, 107, 138, 236772, 623, 39986, 10325, 1822, 2263, 24078, 1826, 236775, 107, 138, 236772, 623, 19382, 13122, 2433, 45839, 506, 8858, 236775, 108, 1018, 236788, 33423, 9064, 121722, 53121, 107, 236772, 5213, 9272, 9064, 53121, 5110, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 104561, 45799, 7728, 236761, 26057, 74478, 236768, 107, 236772, 5213, 35922, 1257, 139135, 53121, 236743, 107, 138, 236772, 45799, 236787, 900, 236770, 236810, 236771, 236743, 107, 138, 236772, 74478, 236787, 753, 236770, 236832, 236771, 107, 236772, 5213, 14182, 26192, 121722, 42272, 53121, 9064, 9857, 657, 236743, 236828, 236787, 236800, 236771, 8711, 20157, 1271, 26844, 4610, 236743, 236800, 2668, 1680, 2290, 236761, 108, 38786, 611, 1133, 1601, 607, 8217, 22479, 236764, 7500, 33772, 236764, 653, 3892, 26844, 16074, 10884, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 22424, 236761, 564, 236789, 236757, 22293, 496, 1944, 58737, 12441, 4598, 573, 1041, 3107, 4690, 672, 9735, 532, 1202, 496, 44426, 3393, 573, 506, 5177, 6831, 236761, 564, 236789, 560, 1010, 34359, 506, 6831, 528, 496, 34115, 34691, 1208, 1041, 2881, 623, 172061, 236779, 55673, 3173, 2098, 840, 564, 236789, 236757, 711, 2889, 768, 506, 34691, 623, 55673, 508, 236779, 140391, 236779, 6090, 236775, 3643, 7519, 236761, 5315, 236764, 1161, 506, 974, 236779, 5846, 236779, 82374, 5904, 607, 15345, 623, 172061, 236779, 55673, 3173, 236775, 531, 2426, 768, 600, 34691, 563, 9456, 236761, 1637, 625, 563, 236764, 1161, 1061, 34115, 10739, 573, 506, 44426, 3393, 236793, 768, 711, 236764, 3798, 1063, 531, 506, 17709, 10739, 623, 2574, 1411, 55673, 508, 6090, 236761, 8358, 236786, 236753, 18230, 3056, 4298, 236764, 8729, 506, 44426, 3393, 1699, 506, 125988, 236779, 3970, 236779, 52230, 5904, 573, 506, 5540, 10739, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82374, 1083, 78493, 1201, 1083, 623, 55673, 508, 236779, 140391, 236779, 6090, 827, 623, 3185, 236779, 2451, 1083, 623, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 23179, 3714, 1201, 1083, 623, 55673, 508, 236779, 230586, 236779, 42544, 827, 623, 3185, 236779, 2451, 1083, 623, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 230586, 236779, 42544, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 13205, 32857, 236761, 854, 236786, 48203, 236786, 236828, 236746, 236832, 236755, 236800, 236753, 236819, 236760, 236761, 5067, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 48203, 236779, 1516, 1083, 623, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 58737, 12441, 6831, 236888, 1030, 236789, 236751, 1010, 7835, 1699, 506, 4338, 34115, 20387, 10739, 236787, 108, 245958, 5213, 38943, 8739, 10297, 66515, 870, 2574, 1411, 48203, 236761, 13205, 32857, 236761, 854, 236786, 48203, 236786, 236828, 236746, 236832, 236755, 236800, 236753, 236819, 236760, 236761, 5067, 5457, 2574, 1411, 48203, 236761, 13205, 32857, 236761, 854, 236786, 48203, 236786, 236828, 236746, 236832, 236755, 236800, 236753, 236819, 236760, 236761, 5067, 236768, 108, 818, 44426, 3393, 3298, 5467, 531, 822, 34115, 20387, 236787, 138, 107, 240633, 870, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 5457, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 236768, 108, 11069, 6831, 563, 5508, 573, 506, 12441, 4598, 236888, 236743, 250764, 239794, 3792, 786, 1281, 768, 611, 1202, 1027, 30981, 236761, 21764, 32283, 8595, 3537, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 22424, 236761, 564, 236789, 236757, 22293, 496, 1944, 58737, 12441, 4598, 573, 1041, 3107, 4690, 672, 9735, 532, 1202, 496, 44426, 3393, 573, 506, 5177, 6831, 236761, 564, 236789, 560, 1010, 34359, 506, 6831, 528, 496, 34115, 34691, 1208, 1041, 2881, 623, 172061, 236779, 55673, 3173, 2098, 840, 564, 236789, 236757, 711, 2889, 768, 506, 34691, 623, 55673, 508, 236779, 140391, 236779, 6090, 236775, 3643, 7519, 236761, 5315, 236764, 1161, 506, 974, 236779, 5846, 236779, 82374, 5904, 607, 15345, 623, 172061, 236779, 55673, 3173, 236775, 531, 2426, 768, 600, 34691, 563, 9456, 236761, 1637, 625, 563, 236764, 1161, 1061, 34115, 10739, 573, 506, 44426, 3393, 236793, 768, 711, 236764, 3798, 1063, 531, 506, 17709, 10739, 623, 2574, 1411, 55673, 508, 6090, 236761, 8358, 236786, 236753, 18230, 3056, 4298, 236764, 8729, 506, 44426, 3393, 1699, 506, 125988, 236779, 3970, 236779, 52230, 5904, 573, 506, 5540, 10739, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82374, 1083, 78493, 1201, 1083, 623, 55673, 508, 236779, 140391, 236779, 6090, 827, 623, 3185, 236779, 2451, 1083, 623, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 23179, 3714, 1201, 1083, 623, 55673, 508, 236779, 230586, 236779, 42544, 827, 623, 3185, 236779, 2451, 1083, 623, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 230586, 236779, 42544, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 13205, 32857, 236761, 854, 236786, 48203, 236786, 236828, 236746, 236832, 236755, 236800, 236753, 236819, 236760, 236761, 5067, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 48203, 236779, 1516, 1083, 623, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 58737, 12441, 6831, 236888, 1030, 236789, 236751, 1010, 7835, 1699, 506, 4338, 34115, 20387, 10739, 236787, 108, 245958, 5213, 38943, 8739, 10297, 66515, 870, 2574, 1411, 48203, 236761, 13205, 32857, 236761, 854, 236786, 48203, 236786, 236828, 236746, 236832, 236755, 236800, 236753, 236819, 236760, 236761, 5067, 5457, 2574, 1411, 48203, 236761, 13205, 32857, 236761, 854, 236786, 48203, 236786, 236828, 236746, 236832, 236755, 236800, 236753, 236819, 236760, 236761, 5067, 236768, 108, 818, 44426, 3393, 3298, 5467, 531, 822, 34115, 20387, 236787, 138, 107, 240633, 870, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 5457, 2574, 1411, 5846, 236761, 854, 236786, 172061, 236779, 55673, 3173, 236786, 55673, 508, 236779, 140391, 236779, 6090, 236768, 108, 11069, 6831, 563, 5508, 573, 506, 12441, 4598, 236888, 236743, 250764, 239794, 3792, 786, 1281, 768, 611, 1202, 1027, 30981, 236761, 21764, 32283, 8595, 3537, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 506, 11858, 86101, 14900, 573, 12067, 129259, 9904, 528, 236743, 236778, 236771, 236778, 236771, 236761, 6542, 236764, 1451, 611, 10769, 1091, 607, 2408, 15096, 236789, 236751, 14900, 699, 506, 1638, 1051, 236881, 564, 236858, 236757, 30923, 29074, 2778, 14601, 573, 496, 15771, 7545, 532, 1461, 531, 1460, 1217, 910, 24488, 19455, 10166, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 9272, 129259, 9904, 827, 623, 3704, 1083, 623, 236778, 236771, 236778, 236771, 827, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236832, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236819, 236812, 236761, 236778, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236828, 236770, 236761, 236810, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236771, 236761, 236770, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236828, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236770, 236764, 623, 78024, 1083, 623, 115489, 742, 9904, 827, 623, 44384, 1083, 623, 236773, 236880, 236791, 11250, 86101, 63685, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 3524, 15096, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 32504, 1083, 3714, 28455, 1083, 236743, 236828, 236812, 236761, 236832, 236764, 623, 22504, 1083, 236743, 236832, 236828, 236761, 236778, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236771, 236761, 236810, 236764, 623, 78226, 1083, 236743, 236828, 236770, 236761, 236770, 1263, 623, 29263, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 78024, 236779, 28128, 1083, 236743, 236832, 236771, 236761, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 529, 12067, 129259, 9904, 532, 2408, 15096, 236789, 236751, 236743, 236778, 236771, 236778, 236771, 86101, 14900, 236787, 108, 1018, 9272, 129259, 9904, 568, 236778, 236771, 236778, 236771, 62902, 107, 236772, 5213, 33062, 27242, 66515, 236743, 236819, 236771, 236761, 236770, 568, 18085, 30052, 236787, 997, 236828, 236764, 20467, 30052, 236787, 997, 236770, 236768, 107, 236772, 12248, 236787, 236743, 236828, 236828, 236761, 236832, 1109, 8779, 236787, 236743, 236819, 236812, 236761, 236778, 1109, 75337, 236787, 236743, 236828, 236770, 236761, 236810, 107, 236772, 20467, 236787, 100756, 9904, 108, 1018, 3524, 15096, 568, 236778, 236771, 236778, 236771, 62902, 107, 236772, 5213, 33062, 27242, 66515, 236743, 236828, 236770, 236761, 236770, 568, 18085, 30052, 236787, 997, 236770, 236778, 236764, 20467, 30052, 236787, 997, 236800, 236768, 107, 236772, 12248, 236787, 236743, 236828, 236812, 236761, 236832, 1109, 8779, 236787, 236743, 236832, 236828, 236761, 236778, 1109, 75337, 236787, 236743, 236828, 236771, 236761, 236810, 107, 236772, 20467, 29748, 236787, 236743, 236832, 236771, 236761, 236812, 108, 1018, 3503, 12774, 50914, 66515, 107, 236770, 236761, 12067, 129259, 9904, 156144, 2408, 15096, 528, 784, 86101, 12669, 236764, 607, 496, 236743, 236770, 236771, 236908, 3715, 6782, 6317, 107, 236778, 236761, 12067, 129259, 9258, 506, 1903, 7075, 528, 29074, 2778, 3956, 47551, 236764, 1651, 2408, 15096, 26867, 4168, 107, 236800, 236761, 10508, 4699, 8792, 9644, 506, 29074, 2778, 3956, 4398, 568, 236832, 236771, 236761, 236812, 236768, 107, 236812, 236761, 12067, 129259, 236789, 236751, 2777, 6317, 568, 236819, 236812, 236761, 236778, 236768, 11979, 855, 618, 6412, 3188, 5483, 531, 2408, 15096, 236789, 236751, 236743, 236832, 236828, 236761, 236778, 108, 2094, 12205, 12067, 129259, 9904, 13646, 15281, 24488, 3736, 3418, 784, 13376, 528, 236743, 236778, 236771, 236778, 236771, 236764, 3635, 2408, 15096, 2036, 14038, 5139, 86101, 19455, 2787, 3956, 80293, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 236743, 236778, 236771, 236778, 236771, 9960, 236761, 564, 236858, 236753, 1133, 531, 3137, 19276, 1131, 12067, 129259, 236858, 236751, 27414, 6317, 237028, 236828, 236770, 236761, 236810, 5072, 3718, 1082, 564, 236858, 236753, 2414, 573, 496, 29074, 2778, 8575, 236761, 28344, 611, 8091, 910, 86101, 14900, 699, 236743, 236778, 236771, 236770, 236832, 531, 236743, 236778, 236771, 236770, 236819, 618, 1388, 236881, 564, 1461, 531, 1460, 768, 672, 7003, 563, 9958, 653, 768, 993, 691, 496, 12372, 528, 236743, 236778, 236771, 236778, 236771, 236761, 6542, 236764, 2426, 2408, 15096, 236858, 236751, 236743, 236778, 236771, 236770, 236819, 14900, 531, 10769, 1051, 236772, 1749, 236772, 3704, 3731, 236761, 40411, 910, 11858, 53293, 1451, 1601, 4773, 3402, 3736, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 25385, 1083, 623, 9272, 129259, 9904, 827, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236778, 236761, 236770, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236819, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236832, 236810, 236761, 236800, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236810, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 78024, 1083, 623, 115489, 742, 9904, 827, 623, 1516, 236779, 6265, 1083, 623, 236773, 25185, 514, 24323, 827, 623, 27617, 1083, 623, 38556, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 25385, 236779, 1201, 1083, 623, 9272, 129259, 9904, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 507, 236759, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236812, 236764, 623, 125595, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236770, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236825, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236778, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236800, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236778, 236764, 623, 29263, 1083, 3714, 25510, 236779, 80384, 1083, 623, 236771, 236761, 236770, 236778, 11944, 2671, 236778, 46636, 236792, 10471, 827, 623, 197054, 236779, 23325, 236779, 45118, 1083, 236743, 236832, 236778, 236764, 623, 3147, 236779, 156735, 1083, 623, 236812, 236810, 236908, 8256, 22620, 827, 623, 31003, 236779, 92506, 1083, 623, 236828, 236778, 236908, 17681, 6317, 127096, 1604, 623, 21052, 1083, 3714, 1516, 236779, 6265, 1083, 623, 236773, 25185, 514, 24323, 34641, 23260, 827, 623, 27617, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 2763, 37755, 1083, 623, 2100, 22136, 2846, 236772, 15396, 26423, 532, 1149, 711, 8913, 607, 1873, 21649, 44362, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 9272, 129259, 9904, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 28455, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236812, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236770, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236828, 236825, 236761, 236832, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236828, 236819, 236761, 236771, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236770, 236764, 623, 1516, 236779, 6265, 1083, 623, 236778, 236771, 236778, 236771, 86101, 128146, 8708, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 3524, 15096, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 507, 236759, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236778, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236828, 236770, 236761, 236810, 236764, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236771, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236800, 236761, 236832, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 1516, 236779, 6265, 1083, 623, 236778, 236771, 236778, 236771, 86101, 128146, 8708, 827, 623, 27617, 1083, 623, 38556, 827, 623, 3955, 236779, 2084, 1083, 623, 10602, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 86101, 33744, 3671, 573, 12067, 129259, 9904, 532, 2408, 15096, 236787, 108, 1018, 9272, 129259, 9904, 75337, 48993, 568, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236778, 236771, 62902, 107, 236772, 5213, 236778, 236771, 236770, 236832, 66515, 236743, 236832, 236810, 236761, 236800, 138, 107, 236772, 5213, 236778, 236771, 236770, 236828, 66515, 236743, 236832, 236828, 236761, 236778, 32156, 236800, 236761, 236819, 70754, 236768, 138, 107, 236772, 5213, 236778, 236771, 236770, 236819, 66515, 236743, 236828, 236825, 236761, 236832, 32156, 236828, 236761, 236810, 70754, 236768, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 66515, 236743, 236828, 236770, 236761, 236810, 15554, 236810, 236761, 236778, 70754, 236768, 138, 108, 1018, 3503, 73022, 66515, 138, 107, 236770, 236761, 12067, 129259, 6418, 3629, 27414, 11531, 699, 236743, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236770, 236819, 32156, 236770, 236770, 236761, 236812, 70754, 2558, 779, 145739, 657, 5213, 236828, 236825, 236761, 236832, 528, 236743, 236778, 236771, 236770, 236819, 1018, 138, 107, 236778, 236761, 669, 236743, 236778, 236771, 236778, 236771, 6317, 568, 236828, 236770, 236761, 236810, 236768, 9282, 496, 16670, 699, 1061, 236743, 236778, 236771, 236770, 236819, 1494, 236764, 3635, 2036, 236743, 236828, 236908, 2787, 236743, 236778, 236771, 236770, 236832, 29645, 138, 107, 236800, 236761, 669, 12372, 54302, 607, 7226, 3877, 528, 29074, 2778, 17461, 568, 236832, 236778, 236908, 529, 10471, 528, 236743, 236778, 236771, 236770, 236828, 779, 22169, 3435, 27414, 8991, 1913, 10534, 138, 108, 1018, 3524, 15096, 8799, 236772, 1749, 236772, 16431, 36520, 1018, 138, 107, 236772, 5213, 236778, 236771, 236770, 236819, 75337, 66515, 236743, 236828, 236770, 236761, 236810, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 75337, 66515, 236743, 236828, 236771, 236761, 236810, 15554, 236770, 236761, 236771, 25290, 236768, 138, 107, 236772, 5213, 236778, 236771, 236770, 236819, 86101, 27242, 66515, 236743, 236828, 236810, 236761, 236778, 16130, 5213, 236778, 236771, 236778, 236771, 86101, 66515, 236743, 236828, 236770, 236761, 236770, 15554, 236812, 236761, 236770, 70754, 236768, 138, 108, 1018, 165108, 76374, 66515, 138, 107, 236770, 236761, 12067, 129259, 236789, 236751, 27414, 43866, 568, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236778, 236771, 236768, 79339, 607, 1061, 9958, 8646, 10319, 568, 236819, 236778, 236761, 236770, 236862, 14900, 2338, 236743, 236778, 236771, 236770, 236828, 236768, 138, 107, 236778, 236761, 2408, 15096, 14038, 10385, 27414, 14900, 568, 236828, 236770, 236761, 236810, 16130, 236743, 236828, 236771, 236761, 236810, 236768, 840, 9763, 25898, 86101, 6317, 61085, 528, 236743, 236778, 236771, 236778, 236771, 138, 107, 236800, 236761, 10508, 4699, 149862, 29074, 2778, 80293, 5459, 236743, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236778, 236771, 138, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 27414, 1159, 27975, 568, 3147, 15459, 236764, 29624, 19455, 236768, 653, 10769, 1239, 15067, 531, 3956, 30055, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 10769, 1239, 15067, 531, 3956, 30055, 237028, 145300, 91704, 236753, 103974, 532, 55665, 527, 18324, 13000, 236761, 44457, 910, 236743, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 86101, 14900, 236764, 19541, 580, 27414, 19455, 236761, 564, 1461, 531, 1460, 768, 12067, 129259, 236858, 236751, 27414, 12372, 691, 614, 119107, 653, 912, 529, 496, 25898, 3956, 3759, 1913, 600, 3877, 2846, 236761, 6542, 236764, 2426, 768, 55665, 527, 236858, 6429, 7797, 112873, 528, 236743, 236778, 236771, 236778, 236771, 34275, 910, 14900, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236777, 793, 236753, 103974, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 507, 236759, 236779, 32504, 1083, 3714, 28455, 1083, 236743, 236819, 236778, 236764, 623, 22504, 1083, 236743, 236828, 236819, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236810, 236764, 623, 78226, 1083, 236743, 236828, 236819, 1263, 623, 29263, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236810, 236764, 623, 1848, 77193, 236762, 236779, 8318, 1083, 236743, 236770, 236828, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 236777, 793, 236753, 103974, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 507, 236759, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236812, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236819, 236771, 236761, 236778, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236800, 236761, 236770, 236764, 623, 125595, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236832, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 33686, 236779, 29263, 1083, 3714, 71703, 236779, 10864, 236779, 62580, 1083, 623, 26834, 827, 623, 1848, 77193, 695, 1083, 2977, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 74786, 527, 18324, 13000, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 507, 236759, 236779, 32504, 1083, 3714, 28455, 1083, 236743, 236828, 236832, 236764, 623, 22504, 1083, 236743, 236828, 236819, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236810, 236764, 623, 78226, 1083, 236743, 236828, 236828, 1263, 623, 29263, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 1848, 77193, 236762, 236779, 5909, 1083, 623, 26834, 827, 623, 8318, 236779, 58043, 1083, 3714, 236778, 236771, 236770, 236828, 1083, 236743, 236828, 236825, 236764, 623, 236778, 236771, 236770, 236819, 1083, 236743, 236828, 236828, 5237, 623, 23184, 1083, 623, 201521, 6317, 22136, 3188, 3905, 15459, 10034, 840, 5809, 111199, 580, 6429, 7797, 52233, 236761, 2301, 3629, 112873, 9941, 528, 236743, 236778, 236771, 236770, 236819, 1262, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1201, 1083, 623, 74786, 527, 18324, 13000, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236812, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236832, 236825, 236761, 236778, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236825, 236800, 236761, 236810, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236832, 236825, 236761, 236771, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236812, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236828, 236764, 623, 8318, 236779, 58043, 1083, 3714, 84688, 76634, 236779, 4177, 1083, 753, 236832, 236761, 236800, 236764, 623, 23184, 1083, 623, 201521, 6317, 24984, 2779, 531, 6429, 7797, 112873, 532, 3905, 9637, 55170, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31898, 3671, 529, 27414, 15067, 3418, 29074, 2778, 30055, 568, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 1473, 108, 236909, 6503, 152, 236909, 236743, 236778, 236771, 236770, 236819, 75337, 1109, 236743, 236778, 236771, 236778, 236771, 75337, 1109, 75337, 14376, 1109, 236743, 236778, 236771, 236778, 236771, 215035, 10297, 1109, 107, 236909, 2819, 1611, 236909, 2819, 119434, 2819, 119434, 2819, 171168, 2819, 1611, 236909, 107, 236909, 5213, 9272, 129259, 9904, 1018, 141, 236909, 236743, 236828, 236825, 236761, 236832, 148, 236909, 236743, 236828, 236770, 236761, 236810, 148, 236909, 753, 236810, 236761, 236778, 70754, 146, 236909, 81909, 8991, 139, 236909, 107, 236909, 5213, 3524, 15096, 1018, 149, 236909, 236743, 236828, 236770, 236761, 236810, 148, 236909, 236743, 236828, 236771, 236761, 236810, 148, 236909, 753, 236770, 236761, 236771, 25290, 147, 236909, 2301, 3262, 112873, 1109, 107, 236909, 5213, 236777, 793, 236753, 103974, 1018, 146, 236909, 236743, 236828, 236810, 150, 236909, 236743, 236819, 236771, 236761, 236778, 148, 236909, 900, 236810, 236761, 236778, 70754, 146, 236909, 75337, 15955, 236909, 107, 236909, 5213, 74786, 527, 18324, 13000, 1018, 236909, 236743, 236828, 236810, 150, 236909, 236743, 236825, 236800, 236761, 236810, 148, 236909, 5213, 236772, 236778, 236770, 236761, 236810, 70754, 1018, 141, 236909, 113452, 30510, 7797, 4342, 1109, 108, 1018, 3503, 99652, 66515, 107, 236770, 236761, 5213, 9272, 129259, 236789, 236751, 75337, 48387, 568, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 62902, 236787, 107, 139, 236772, 5213, 236772, 236810, 236761, 236778, 70754, 16670, 1018, 79339, 607, 91704, 236753, 103974, 236789, 236751, 900, 236810, 236761, 236778, 70754, 11531, 107, 139, 236772, 30502, 91704, 236753, 103974, 568, 7650, 49467, 3905, 15459, 10034, 779, 12067, 129259, 236789, 236751, 16670, 10997, 1913, 496, 2846, 529, 7226, 29074, 2778, 10534, 568, 236832, 236778, 236908, 10471, 699, 127162, 528, 236743, 236778, 236771, 236770, 236828, 236768, 108, 236778, 236761, 5213, 74786, 527, 236789, 75337, 204355, 66515, 107, 139, 236772, 5213, 236778, 236770, 236761, 236810, 236772, 3947, 7266, 1018, 528, 27414, 6317, 5467, 19240, 531, 236787, 107, 141, 236772, 34489, 6429, 7797, 112873, 568, 87877, 528, 236743, 236778, 236771, 236778, 236771, 7248, 236768, 107, 141, 236772, 6885, 9637, 55170, 568, 24385, 15459, 11561, 3426, 3956, 80293, 236768, 107, 139, 236772, 8779, 6317, 992, 189228, 699, 236743, 236828, 236819, 531, 236743, 236832, 236825, 236761, 236778, 236764, 17674, 28134, 3997, 8991, 108, 236800, 236761, 5213, 73939, 22526, 66515, 107, 139, 236772, 2301, 9406, 7003, 5773, 236787, 107, 141, 236772, 91704, 236753, 103974, 9806, 27414, 1343, 4957, 33624, 107, 141, 236772, 12067, 129259, 532, 2408, 15096, 6418, 6495, 61085, 107, 141, 236772, 55665, 527, 9763, 496, 11127, 236772, 5909, 7266, 107, 139, 236772, 59336, 236751, 27414, 43866, 563, 5213, 25385, 236772, 15396, 125546, 711, 38673, 236764, 3635, 6429, 7797, 13682, 16809, 2561, 24798, 108, 236812, 236761, 5213, 165108, 103057, 66515, 107, 139, 236772, 5213, 9272, 129259, 236789, 236751, 12372, 15554, 236810, 236761, 236778, 70754, 62902, 7412, 5213, 114292, 5483, 531, 30055, 125546, 4285, 1056, 104831, 607, 55665, 527, 236789, 236743, 236778, 236770, 236761, 236810, 236772, 693, 24976, 107, 139, 236772, 55665, 527, 236789, 1624, 121019, 822, 4561, 1003, 6429, 7797, 112873, 67948, 86101, 19455, 107, 139, 236772, 91704, 236753, 103974, 236789, 236751, 27414, 11531, 29350, 600, 53591, 33624, 740, 9815, 10534, 236772, 10619, 13682, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 27414, 1159, 27975, 568, 3147, 15459, 236764, 29624, 236764, 37249, 10034, 236768, 653, 10769, 1239, 15067, 531, 34411, 7611, 7140, 30055, 1133, 59958, 236750, 15096, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 506, 11858, 86101, 14900, 573, 12067, 129259, 9904, 528, 236743, 236778, 236771, 236778, 236771, 236761, 6542, 236764, 1451, 611, 10769, 1091, 607, 2408, 15096, 236789, 236751, 14900, 699, 506, 1638, 1051, 236881, 564, 236858, 236757, 30923, 29074, 2778, 14601, 573, 496, 15771, 7545, 532, 1461, 531, 1460, 1217, 910, 24488, 19455, 10166, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 9272, 129259, 9904, 827, 623, 3704, 1083, 623, 236778, 236771, 236778, 236771, 827, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236832, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236819, 236812, 236761, 236778, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236828, 236770, 236761, 236810, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236771, 236761, 236770, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236828, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236770, 236764, 623, 78024, 1083, 623, 115489, 742, 9904, 827, 623, 44384, 1083, 623, 236773, 236880, 236791, 11250, 86101, 63685, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 3524, 15096, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 32504, 1083, 3714, 28455, 1083, 236743, 236828, 236812, 236761, 236832, 236764, 623, 22504, 1083, 236743, 236832, 236828, 236761, 236778, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236771, 236761, 236810, 236764, 623, 78226, 1083, 236743, 236828, 236770, 236761, 236770, 1263, 623, 29263, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 78024, 236779, 28128, 1083, 236743, 236832, 236771, 236761, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 529, 12067, 129259, 9904, 532, 2408, 15096, 236789, 236751, 236743, 236778, 236771, 236778, 236771, 86101, 14900, 236787, 108, 1018, 9272, 129259, 9904, 568, 236778, 236771, 236778, 236771, 62902, 107, 236772, 5213, 33062, 27242, 66515, 236743, 236819, 236771, 236761, 236770, 568, 18085, 30052, 236787, 997, 236828, 236764, 20467, 30052, 236787, 997, 236770, 236768, 107, 236772, 12248, 236787, 236743, 236828, 236828, 236761, 236832, 1109, 8779, 236787, 236743, 236819, 236812, 236761, 236778, 1109, 75337, 236787, 236743, 236828, 236770, 236761, 236810, 107, 236772, 20467, 236787, 100756, 9904, 108, 1018, 3524, 15096, 568, 236778, 236771, 236778, 236771, 62902, 107, 236772, 5213, 33062, 27242, 66515, 236743, 236828, 236770, 236761, 236770, 568, 18085, 30052, 236787, 997, 236770, 236778, 236764, 20467, 30052, 236787, 997, 236800, 236768, 107, 236772, 12248, 236787, 236743, 236828, 236812, 236761, 236832, 1109, 8779, 236787, 236743, 236832, 236828, 236761, 236778, 1109, 75337, 236787, 236743, 236828, 236771, 236761, 236810, 107, 236772, 20467, 29748, 236787, 236743, 236832, 236771, 236761, 236812, 108, 1018, 3503, 12774, 50914, 66515, 107, 236770, 236761, 12067, 129259, 9904, 156144, 2408, 15096, 528, 784, 86101, 12669, 236764, 607, 496, 236743, 236770, 236771, 236908, 3715, 6782, 6317, 107, 236778, 236761, 12067, 129259, 9258, 506, 1903, 7075, 528, 29074, 2778, 3956, 47551, 236764, 1651, 2408, 15096, 26867, 4168, 107, 236800, 236761, 10508, 4699, 8792, 9644, 506, 29074, 2778, 3956, 4398, 568, 236832, 236771, 236761, 236812, 236768, 107, 236812, 236761, 12067, 129259, 236789, 236751, 2777, 6317, 568, 236819, 236812, 236761, 236778, 236768, 11979, 855, 618, 6412, 3188, 5483, 531, 2408, 15096, 236789, 236751, 236743, 236832, 236828, 236761, 236778, 108, 2094, 12205, 12067, 129259, 9904, 13646, 15281, 24488, 3736, 3418, 784, 13376, 528, 236743, 236778, 236771, 236778, 236771, 236764, 3635, 2408, 15096, 2036, 14038, 5139, 86101, 19455, 2787, 3956, 80293, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 236743, 236778, 236771, 236778, 236771, 9960, 236761, 564, 236858, 236753, 1133, 531, 3137, 19276, 1131, 12067, 129259, 236858, 236751, 27414, 6317, 237028, 236828, 236770, 236761, 236810, 5072, 3718, 1082, 564, 236858, 236753, 2414, 573, 496, 29074, 2778, 8575, 236761, 28344, 611, 8091, 910, 86101, 14900, 699, 236743, 236778, 236771, 236770, 236832, 531, 236743, 236778, 236771, 236770, 236819, 618, 1388, 236881, 564, 1461, 531, 1460, 768, 672, 7003, 563, 9958, 653, 768, 993, 691, 496, 12372, 528, 236743, 236778, 236771, 236778, 236771, 236761, 6542, 236764, 2426, 2408, 15096, 236858, 236751, 236743, 236778, 236771, 236770, 236819, 14900, 531, 10769, 1051, 236772, 1749, 236772, 3704, 3731, 236761, 40411, 910, 11858, 53293, 1451, 1601, 4773, 3402, 3736, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 25385, 1083, 623, 9272, 129259, 9904, 827, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236778, 236761, 236770, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236819, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236832, 236810, 236761, 236800, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236810, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 78024, 1083, 623, 115489, 742, 9904, 827, 623, 1516, 236779, 6265, 1083, 623, 236773, 25185, 514, 24323, 827, 623, 27617, 1083, 623, 38556, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 25385, 236779, 1201, 1083, 623, 9272, 129259, 9904, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 507, 236759, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236812, 236764, 623, 125595, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236770, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236825, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236778, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236800, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236778, 236764, 623, 29263, 1083, 3714, 25510, 236779, 80384, 1083, 623, 236771, 236761, 236770, 236778, 11944, 2671, 236778, 46636, 236792, 10471, 827, 623, 197054, 236779, 23325, 236779, 45118, 1083, 236743, 236832, 236778, 236764, 623, 3147, 236779, 156735, 1083, 623, 236812, 236810, 236908, 8256, 22620, 827, 623, 31003, 236779, 92506, 1083, 623, 236828, 236778, 236908, 17681, 6317, 127096, 1604, 623, 21052, 1083, 3714, 1516, 236779, 6265, 1083, 623, 236773, 25185, 514, 24323, 34641, 23260, 827, 623, 27617, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 2763, 37755, 1083, 623, 2100, 22136, 2846, 236772, 15396, 26423, 532, 1149, 711, 8913, 607, 1873, 21649, 44362, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 9272, 129259, 9904, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 28455, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236812, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236770, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236828, 236825, 236761, 236832, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236828, 236819, 236761, 236771, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236770, 236764, 623, 1516, 236779, 6265, 1083, 623, 236778, 236771, 236778, 236771, 86101, 128146, 8708, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 3524, 15096, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 507, 236759, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236778, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236828, 236770, 236761, 236810, 236764, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236771, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236800, 236761, 236832, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 1516, 236779, 6265, 1083, 623, 236778, 236771, 236778, 236771, 86101, 128146, 8708, 827, 623, 27617, 1083, 623, 38556, 827, 623, 3955, 236779, 2084, 1083, 623, 10602, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 86101, 33744, 3671, 573, 12067, 129259, 9904, 532, 2408, 15096, 236787, 108, 1018, 9272, 129259, 9904, 75337, 48993, 568, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236778, 236771, 62902, 107, 236772, 5213, 236778, 236771, 236770, 236832, 66515, 236743, 236832, 236810, 236761, 236800, 138, 107, 236772, 5213, 236778, 236771, 236770, 236828, 66515, 236743, 236832, 236828, 236761, 236778, 32156, 236800, 236761, 236819, 70754, 236768, 138, 107, 236772, 5213, 236778, 236771, 236770, 236819, 66515, 236743, 236828, 236825, 236761, 236832, 32156, 236828, 236761, 236810, 70754, 236768, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 66515, 236743, 236828, 236770, 236761, 236810, 15554, 236810, 236761, 236778, 70754, 236768, 138, 108, 1018, 3503, 73022, 66515, 138, 107, 236770, 236761, 12067, 129259, 6418, 3629, 27414, 11531, 699, 236743, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236770, 236819, 32156, 236770, 236770, 236761, 236812, 70754, 2558, 779, 145739, 657, 5213, 236828, 236825, 236761, 236832, 528, 236743, 236778, 236771, 236770, 236819, 1018, 138, 107, 236778, 236761, 669, 236743, 236778, 236771, 236778, 236771, 6317, 568, 236828, 236770, 236761, 236810, 236768, 9282, 496, 16670, 699, 1061, 236743, 236778, 236771, 236770, 236819, 1494, 236764, 3635, 2036, 236743, 236828, 236908, 2787, 236743, 236778, 236771, 236770, 236832, 29645, 138, 107, 236800, 236761, 669, 12372, 54302, 607, 7226, 3877, 528, 29074, 2778, 17461, 568, 236832, 236778, 236908, 529, 10471, 528, 236743, 236778, 236771, 236770, 236828, 779, 22169, 3435, 27414, 8991, 1913, 10534, 138, 108, 1018, 3524, 15096, 8799, 236772, 1749, 236772, 16431, 36520, 1018, 138, 107, 236772, 5213, 236778, 236771, 236770, 236819, 75337, 66515, 236743, 236828, 236770, 236761, 236810, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 75337, 66515, 236743, 236828, 236771, 236761, 236810, 15554, 236770, 236761, 236771, 25290, 236768, 138, 107, 236772, 5213, 236778, 236771, 236770, 236819, 86101, 27242, 66515, 236743, 236828, 236810, 236761, 236778, 16130, 5213, 236778, 236771, 236778, 236771, 86101, 66515, 236743, 236828, 236770, 236761, 236770, 15554, 236812, 236761, 236770, 70754, 236768, 138, 108, 1018, 165108, 76374, 66515, 138, 107, 236770, 236761, 12067, 129259, 236789, 236751, 27414, 43866, 568, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236778, 236771, 236768, 79339, 607, 1061, 9958, 8646, 10319, 568, 236819, 236778, 236761, 236770, 236862, 14900, 2338, 236743, 236778, 236771, 236770, 236828, 236768, 138, 107, 236778, 236761, 2408, 15096, 14038, 10385, 27414, 14900, 568, 236828, 236770, 236761, 236810, 16130, 236743, 236828, 236771, 236761, 236810, 236768, 840, 9763, 25898, 86101, 6317, 61085, 528, 236743, 236778, 236771, 236778, 236771, 138, 107, 236800, 236761, 10508, 4699, 149862, 29074, 2778, 80293, 5459, 236743, 236778, 236771, 236770, 236832, 236772, 236778, 236771, 236778, 236771, 138, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 27414, 1159, 27975, 568, 3147, 15459, 236764, 29624, 19455, 236768, 653, 10769, 1239, 15067, 531, 3956, 30055, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 10769, 1239, 15067, 531, 3956, 30055, 237028, 145300, 91704, 236753, 103974, 532, 55665, 527, 18324, 13000, 236761, 44457, 910, 236743, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 86101, 14900, 236764, 19541, 580, 27414, 19455, 236761, 564, 1461, 531, 1460, 768, 12067, 129259, 236858, 236751, 27414, 12372, 691, 614, 119107, 653, 912, 529, 496, 25898, 3956, 3759, 1913, 600, 3877, 2846, 236761, 6542, 236764, 2426, 768, 55665, 527, 236858, 6429, 7797, 112873, 528, 236743, 236778, 236771, 236778, 236771, 34275, 910, 14900, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236777, 793, 236753, 103974, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 507, 236759, 236779, 32504, 1083, 3714, 28455, 1083, 236743, 236819, 236778, 236764, 623, 22504, 1083, 236743, 236828, 236819, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236810, 236764, 623, 78226, 1083, 236743, 236828, 236819, 1263, 623, 29263, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236810, 236764, 623, 1848, 77193, 236762, 236779, 8318, 1083, 236743, 236770, 236828, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 236777, 793, 236753, 103974, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 507, 236759, 236779, 8318, 1083, 236743, 236828, 236810, 236761, 236812, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236819, 236771, 236761, 236778, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236828, 236800, 236761, 236770, 236764, 623, 125595, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236832, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 33686, 236779, 29263, 1083, 3714, 71703, 236779, 10864, 236779, 62580, 1083, 623, 26834, 827, 623, 1848, 77193, 695, 1083, 2977, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 74786, 527, 18324, 13000, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 507, 236759, 236779, 32504, 1083, 3714, 28455, 1083, 236743, 236828, 236832, 236764, 623, 22504, 1083, 236743, 236828, 236819, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236810, 236764, 623, 78226, 1083, 236743, 236828, 236828, 1263, 623, 29263, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236764, 623, 1848, 77193, 236762, 236779, 5909, 1083, 623, 26834, 827, 623, 8318, 236779, 58043, 1083, 3714, 236778, 236771, 236770, 236828, 1083, 236743, 236828, 236825, 236764, 623, 236778, 236771, 236770, 236819, 1083, 236743, 236828, 236828, 5237, 623, 23184, 1083, 623, 201521, 6317, 22136, 3188, 3905, 15459, 10034, 840, 5809, 111199, 580, 6429, 7797, 52233, 236761, 2301, 3629, 112873, 9941, 528, 236743, 236778, 236771, 236770, 236819, 1262, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1201, 1083, 623, 74786, 527, 18324, 13000, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 28455, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236812, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236832, 236825, 236761, 236778, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236825, 236800, 236761, 236810, 236764, 623, 78226, 236779, 8318, 1083, 236743, 236832, 236825, 236761, 236771, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236770, 236812, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236828, 236764, 623, 8318, 236779, 58043, 1083, 3714, 84688, 76634, 236779, 4177, 1083, 753, 236832, 236761, 236800, 236764, 623, 23184, 1083, 623, 201521, 6317, 24984, 2779, 531, 6429, 7797, 112873, 532, 3905, 9637, 55170, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31898, 3671, 529, 27414, 15067, 3418, 29074, 2778, 30055, 568, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 1473, 108, 236909, 6503, 152, 236909, 236743, 236778, 236771, 236770, 236819, 75337, 1109, 236743, 236778, 236771, 236778, 236771, 75337, 1109, 75337, 14376, 1109, 236743, 236778, 236771, 236778, 236771, 215035, 10297, 1109, 107, 236909, 2819, 1611, 236909, 2819, 119434, 2819, 119434, 2819, 171168, 2819, 1611, 236909, 107, 236909, 5213, 9272, 129259, 9904, 1018, 141, 236909, 236743, 236828, 236825, 236761, 236832, 148, 236909, 236743, 236828, 236770, 236761, 236810, 148, 236909, 753, 236810, 236761, 236778, 70754, 146, 236909, 81909, 8991, 139, 236909, 107, 236909, 5213, 3524, 15096, 1018, 149, 236909, 236743, 236828, 236770, 236761, 236810, 148, 236909, 236743, 236828, 236771, 236761, 236810, 148, 236909, 753, 236770, 236761, 236771, 25290, 147, 236909, 2301, 3262, 112873, 1109, 107, 236909, 5213, 236777, 793, 236753, 103974, 1018, 146, 236909, 236743, 236828, 236810, 150, 236909, 236743, 236819, 236771, 236761, 236778, 148, 236909, 900, 236810, 236761, 236778, 70754, 146, 236909, 75337, 15955, 236909, 107, 236909, 5213, 74786, 527, 18324, 13000, 1018, 236909, 236743, 236828, 236810, 150, 236909, 236743, 236825, 236800, 236761, 236810, 148, 236909, 5213, 236772, 236778, 236770, 236761, 236810, 70754, 1018, 141, 236909, 113452, 30510, 7797, 4342, 1109, 108, 1018, 3503, 99652, 66515, 107, 236770, 236761, 5213, 9272, 129259, 236789, 236751, 75337, 48387, 568, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 62902, 236787, 107, 139, 236772, 5213, 236772, 236810, 236761, 236778, 70754, 16670, 1018, 79339, 607, 91704, 236753, 103974, 236789, 236751, 900, 236810, 236761, 236778, 70754, 11531, 107, 139, 236772, 30502, 91704, 236753, 103974, 568, 7650, 49467, 3905, 15459, 10034, 779, 12067, 129259, 236789, 236751, 16670, 10997, 1913, 496, 2846, 529, 7226, 29074, 2778, 10534, 568, 236832, 236778, 236908, 10471, 699, 127162, 528, 236743, 236778, 236771, 236770, 236828, 236768, 108, 236778, 236761, 5213, 74786, 527, 236789, 75337, 204355, 66515, 107, 139, 236772, 5213, 236778, 236770, 236761, 236810, 236772, 3947, 7266, 1018, 528, 27414, 6317, 5467, 19240, 531, 236787, 107, 141, 236772, 34489, 6429, 7797, 112873, 568, 87877, 528, 236743, 236778, 236771, 236778, 236771, 7248, 236768, 107, 141, 236772, 6885, 9637, 55170, 568, 24385, 15459, 11561, 3426, 3956, 80293, 236768, 107, 139, 236772, 8779, 6317, 992, 189228, 699, 236743, 236828, 236819, 531, 236743, 236832, 236825, 236761, 236778, 236764, 17674, 28134, 3997, 8991, 108, 236800, 236761, 5213, 73939, 22526, 66515, 107, 139, 236772, 2301, 9406, 7003, 5773, 236787, 107, 141, 236772, 91704, 236753, 103974, 9806, 27414, 1343, 4957, 33624, 107, 141, 236772, 12067, 129259, 532, 2408, 15096, 6418, 6495, 61085, 107, 141, 236772, 55665, 527, 9763, 496, 11127, 236772, 5909, 7266, 107, 139, 236772, 59336, 236751, 27414, 43866, 563, 5213, 25385, 236772, 15396, 125546, 711, 38673, 236764, 3635, 6429, 7797, 13682, 16809, 2561, 24798, 108, 236812, 236761, 5213, 165108, 103057, 66515, 107, 139, 236772, 5213, 9272, 129259, 236789, 236751, 12372, 15554, 236810, 236761, 236778, 70754, 62902, 7412, 5213, 114292, 5483, 531, 30055, 125546, 4285, 1056, 104831, 607, 55665, 527, 236789, 236743, 236778, 236770, 236761, 236810, 236772, 693, 24976, 107, 139, 236772, 55665, 527, 236789, 1624, 121019, 822, 4561, 1003, 6429, 7797, 112873, 67948, 86101, 19455, 107, 139, 236772, 91704, 236753, 103974, 236789, 236751, 27414, 11531, 29350, 600, 53591, 33624, 740, 9815, 10534, 236772, 10619, 13682, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 27414, 1159, 27975, 568, 3147, 15459, 236764, 29624, 236764, 37249, 10034, 236768, 653, 10769, 1239, 15067, 531, 34411, 7611, 7140, 30055, 1133, 59958, 236750, 15096, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 9735, 7946, 531, 25930, 531, 4526, 496, 19997, 616, 2290, 532, 1299, 1441, 496, 2263, 4351, 236772, 1048, 26100, 2290, 236761, 5315, 236764, 1586, 506, 2148, 25930, 19997, 616, 4241, 10368, 607, 27339, 532, 19573, 4889, 236761, 4298, 236764, 2426, 506, 1873, 34637, 26844, 573, 600, 2290, 236761, 13472, 236764, 29888, 1027, 14942, 49411, 26100, 63611, 653, 4749, 13922, 506, 1638, 9735, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4874, 236779, 10480, 1083, 3714, 14992, 1083, 623, 112421, 19997, 616, 21267, 827, 623, 157638, 1083, 623, 160766, 9902, 1962, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236798, 16275, 12219, 827, 623, 7125, 1083, 623, 112421, 236764, 31582, 827, 623, 4818, 1083, 623, 144376, 23179, 623, 8245, 1493, 236779, 79692, 1083, 3714, 34899, 1257, 1083, 3714, 112421, 19997, 616, 1083, 10955, 236770, 236810, 236771, 827, 623, 160766, 9902, 1962, 1083, 10955, 236770, 236819, 236771, 827, 623, 14575, 1083, 10955, 236778, 236812, 236771, 23179, 623, 47706, 1083, 9296, 236770, 236761, 236810, 568, 112421, 19997, 616, 236768, 1392, 900, 236800, 236771, 236771, 23179, 623, 182119, 236779, 546, 14119, 236779, 18582, 1083, 78493, 5106, 1083, 623, 112421, 32758, 8174, 9654, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 114107, 5241, 12219, 827, 623, 2084, 1083, 623, 83625, 236779, 5567, 23179, 3714, 5106, 1083, 623, 46322, 828, 19997, 3640, 21267, 7607, 28253, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 7032, 9942, 14669, 27916, 827, 623, 2084, 1083, 623, 546, 14119, 236779, 10480, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 25930, 19997, 616, 9735, 6614, 236787, 108, 1018, 236770, 236761, 12067, 19997, 616, 9064, 53121, 107, 236772, 5213, 71912, 99446, 53121, 30128, 9902, 1962, 107, 236772, 5213, 3682, 53121, 8224, 236764, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 2866, 53121, 236743, 236832, 236787, 236800, 236771, 8711, 59528, 568, 236770, 236778, 236787, 236800, 236771, 8711, 116656, 236768, 107, 236772, 5213, 131020, 53121, 227698, 12219, 236764, 25930, 236764, 31582, 108, 1018, 236778, 236761, 14040, 128960, 139135, 53121, 107, 236772, 5213, 35922, 1257, 53121, 138, 107, 138, 236772, 25930, 19997, 616, 236787, 900, 236770, 236810, 236771, 138, 107, 138, 236772, 30128, 9902, 1962, 236787, 900, 236770, 236819, 236771, 138, 107, 138, 236772, 22705, 236787, 900, 236778, 236812, 236771, 107, 236772, 5213, 97813, 53121, 138, 107, 138, 236772, 25930, 19997, 616, 753, 236770, 236761, 236810, 7675, 1392, 900, 236800, 236771, 236771, 26844, 108, 1018, 236800, 236761, 98733, 126991, 58386, 31698, 568, 27403, 236743, 236778, 236778, 1473, 1018, 107, 236772, 5213, 112421, 32758, 8174, 9654, 1018, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 59528, 568, 236800, 236787, 236771, 236771, 8151, 116656, 236768, 138, 107, 138, 236772, 5213, 6375, 53121, 30099, 5241, 12219, 138, 107, 138, 236772, 5213, 2328, 53121, 149924, 9064, 108, 236772, 5213, 46322, 828, 19997, 3640, 21267, 7607, 28253, 1018, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236800, 236787, 236771, 236771, 8711, 59528, 568, 236828, 236787, 236771, 236771, 8151, 116656, 236768, 138, 107, 138, 236772, 5213, 6375, 53121, 9290, 9942, 14669, 27916, 138, 107, 138, 236772, 5213, 2328, 53121, 126991, 28253, 108, 818, 19997, 616, 2290, 563, 14812, 573, 8224, 12399, 568, 6047, 990, 779, 6641, 684, 35312, 4972, 532, 49411, 12853, 580, 8174, 5597, 236786, 47276, 12399, 236761, 21284, 611, 1133, 1601, 607, 4301, 33972, 653, 15049, 1938, 573, 1027, 529, 1239, 4749, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 9735, 7946, 531, 25930, 531, 4526, 496, 19997, 616, 2290, 532, 1299, 1441, 496, 2263, 4351, 236772, 1048, 26100, 2290, 236761, 5315, 236764, 1586, 506, 2148, 25930, 19997, 616, 4241, 10368, 607, 27339, 532, 19573, 4889, 236761, 4298, 236764, 2426, 506, 1873, 34637, 26844, 573, 600, 2290, 236761, 13472, 236764, 29888, 1027, 14942, 49411, 26100, 63611, 653, 4749, 13922, 506, 1638, 9735, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4874, 236779, 10480, 1083, 3714, 14992, 1083, 623, 112421, 19997, 616, 21267, 827, 623, 157638, 1083, 623, 160766, 9902, 1962, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 236798, 16275, 12219, 827, 623, 7125, 1083, 623, 112421, 236764, 31582, 827, 623, 4818, 1083, 623, 144376, 23179, 623, 8245, 1493, 236779, 79692, 1083, 3714, 34899, 1257, 1083, 3714, 112421, 19997, 616, 1083, 10955, 236770, 236810, 236771, 827, 623, 160766, 9902, 1962, 1083, 10955, 236770, 236819, 236771, 827, 623, 14575, 1083, 10955, 236778, 236812, 236771, 23179, 623, 47706, 1083, 9296, 236770, 236761, 236810, 568, 112421, 19997, 616, 236768, 1392, 900, 236800, 236771, 236771, 23179, 623, 182119, 236779, 546, 14119, 236779, 18582, 1083, 78493, 5106, 1083, 623, 112421, 32758, 8174, 9654, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 114107, 5241, 12219, 827, 623, 2084, 1083, 623, 83625, 236779, 5567, 23179, 3714, 5106, 1083, 623, 46322, 828, 19997, 3640, 21267, 7607, 28253, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 7032, 9942, 14669, 27916, 827, 623, 2084, 1083, 623, 546, 14119, 236779, 10480, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 25930, 19997, 616, 9735, 6614, 236787, 108, 1018, 236770, 236761, 12067, 19997, 616, 9064, 53121, 107, 236772, 5213, 71912, 99446, 53121, 30128, 9902, 1962, 107, 236772, 5213, 3682, 53121, 8224, 236764, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 2866, 53121, 236743, 236832, 236787, 236800, 236771, 8711, 59528, 568, 236770, 236778, 236787, 236800, 236771, 8711, 116656, 236768, 107, 236772, 5213, 131020, 53121, 227698, 12219, 236764, 25930, 236764, 31582, 108, 1018, 236778, 236761, 14040, 128960, 139135, 53121, 107, 236772, 5213, 35922, 1257, 53121, 138, 107, 138, 236772, 25930, 19997, 616, 236787, 900, 236770, 236810, 236771, 138, 107, 138, 236772, 30128, 9902, 1962, 236787, 900, 236770, 236819, 236771, 138, 107, 138, 236772, 22705, 236787, 900, 236778, 236812, 236771, 107, 236772, 5213, 97813, 53121, 138, 107, 138, 236772, 25930, 19997, 616, 753, 236770, 236761, 236810, 7675, 1392, 900, 236800, 236771, 236771, 26844, 108, 1018, 236800, 236761, 98733, 126991, 58386, 31698, 568, 27403, 236743, 236778, 236778, 1473, 1018, 107, 236772, 5213, 112421, 32758, 8174, 9654, 1018, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 59528, 568, 236800, 236787, 236771, 236771, 8151, 116656, 236768, 138, 107, 138, 236772, 5213, 6375, 53121, 30099, 5241, 12219, 138, 107, 138, 236772, 5213, 2328, 53121, 149924, 9064, 108, 236772, 5213, 46322, 828, 19997, 3640, 21267, 7607, 28253, 1018, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236800, 236787, 236771, 236771, 8711, 59528, 568, 236828, 236787, 236771, 236771, 8151, 116656, 236768, 138, 107, 138, 236772, 5213, 6375, 53121, 9290, 9942, 14669, 27916, 138, 107, 138, 236772, 5213, 2328, 53121, 126991, 28253, 108, 818, 19997, 616, 2290, 563, 14812, 573, 8224, 12399, 568, 6047, 990, 779, 6641, 684, 35312, 4972, 532, 49411, 12853, 580, 8174, 5597, 236786, 47276, 12399, 236761, 21284, 611, 1133, 1601, 607, 4301, 33972, 653, 15049, 1938, 573, 1027, 529, 1239, 4749, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 35329, 496, 3539, 2129, 573, 614, 6282, 10054, 657, 506, 18074, 529, 6400, 6718, 532, 20690, 17463, 528, 2599, 702, 527, 236764, 30578, 236764, 840, 564, 1202, 531, 16807, 506, 4453, 4563, 4889, 1680, 564, 740, 7162, 607, 506, 8582, 3927, 573, 10530, 7248, 236761, 669, 2129, 28436, 44898, 506, 3421, 236764, 840, 564, 1461, 531, 4071, 236772, 4256, 506, 15375, 1171, 236761, 9187, 684, 3978, 506, 4563, 4889, 573, 623, 7765, 6718, 532, 20690, 17463, 236764, 2599, 702, 527, 236764, 30578, 236775, 1699, 506, 974, 236779, 7125, 236779, 13308, 5904, 236761, 9920, 611, 735, 1724, 2536, 236764, 8430, 506, 5905, 7363, 1463, 568, 236744, 236761, 236759, 1126, 623, 7765, 6718, 236775, 6775, 623, 7765, 3959, 1299, 1183, 496, 8582, 3927, 5853, 528, 506, 6518, 623, 13708, 24869, 1393, 47720, 17759, 236778, 236771, 236778, 236800, 236775, 568, 5282, 623, 13708, 236772, 66531, 236772, 236778, 236771, 236778, 236800, 236775, 573, 672, 1624, 769, 13472, 236764, 1161, 600, 5853, 531, 12270, 506, 3927, 2536, 4323, 974, 2305, 12103, 236761, 9996, 2889, 531, 6060, 1027, 7377, 3636, 237028, 5282, 768, 506, 7363, 1463, 5132, 623, 236776, 6109, 236775, 653, 623, 894, 207659, 2003, 84625, 1724, 3755, 1680, 20150, 506, 5853, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 7765, 6718, 532, 20690, 17463, 236764, 2599, 702, 527, 236764, 30578, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236819, 236778, 236832, 236778, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236812, 236770, 236800, 236828, 236764, 623, 28611, 1083, 623, 83593, 827, 623, 13319, 1083, 623, 3366, 702, 527, 827, 623, 3255, 1083, 623, 13422, 827, 623, 7720, 236779, 6502, 1083, 3714, 30419, 1083, 623, 7765, 6718, 827, 623, 20955, 236779, 30419, 1083, 623, 79681, 17463, 827, 623, 83593, 236779, 2084, 1083, 623, 20955, 60739, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 547, 1083, 623, 13708, 236772, 66531, 236772, 236778, 236771, 236778, 236800, 827, 623, 12103, 1083, 78493, 10540, 236779, 547, 1083, 623, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 827, 623, 3250, 1083, 623, 3366, 702, 527, 6400, 842, 236786, 79681, 18977, 123937, 72387, 753, 236743, 236771, 236810, 236786, 236770, 236810, 236786, 236778, 236771, 236778, 236800, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 7777, 1083, 623, 7280, 236772, 8269, 31498, 15035, 15339, 529, 10054, 657, 18074, 1913, 20583, 6468, 23179, 3714, 10540, 236779, 547, 1083, 623, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 827, 623, 3250, 1083, 623, 34456, 8708, 236787, 6400, 833, 20690, 18977, 125545, 84028, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236825, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236770, 236828, 236832, 236778, 236764, 623, 7777, 1083, 623, 68734, 10530, 2072, 607, 8827, 5873, 15339, 532, 10021, 11461, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236819, 236770, 236800, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236812, 236810, 236825, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 8582, 3927, 2536, 573, 506, 10530, 657, 6400, 6718, 532, 20690, 17463, 236764, 2599, 702, 527, 236764, 30578, 568, 2305, 5853, 236787, 2165, 13708, 236772, 66531, 236772, 236778, 236771, 236778, 236800, 236929, 1473, 108, 7243, 108, 10354, 5213, 16340, 25252, 1018, 107, 1018, 9640, 17647, 53121, 236743, 236778, 138, 107, 1018, 58713, 568, 2543, 3927, 1473, 1018, 236743, 236800, 236828, 236761, 236819, 236770, 236800, 236810, 237366, 646, 236764, 236743, 236832, 236832, 236761, 236812, 236810, 236825, 236778, 237366, 649, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 11994, 17310, 53121, 138, 107, 236829, 3366, 702, 527, 6400, 842, 236786, 79681, 18977, 123937, 72387, 753, 236743, 236771, 236810, 236786, 236770, 236810, 236786, 236778, 236771, 236778, 236800, 236829, 138, 107, 1018, 6738, 53121, 870, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 236768, 138, 107, 1018, 26669, 6809, 53121, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 1018, 42678, 53121, 236743, 236778, 236764, 236812, 236810, 236771, 138, 107, 1018, 9770, 53121, 808, 7280, 236772, 8269, 31498, 15035, 15339, 529, 10054, 657, 18074, 1913, 20583, 6468, 9603, 108, 7243, 108, 10354, 5213, 236778, 236761, 11994, 17310, 53121, 138, 107, 236829, 34456, 8708, 236787, 6400, 833, 20690, 18977, 125545, 84028, 236829, 138, 107, 1018, 6738, 53121, 870, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 236768, 138, 107, 1018, 26669, 6809, 53121, 3353, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 1018, 42678, 53121, 236743, 236770, 236764, 236828, 236832, 236778, 138, 107, 1018, 9770, 53121, 808, 68734, 10530, 2072, 607, 8827, 5873, 15339, 532, 10021, 11461, 9603, 108, 7243, 108, 9208, 2536, 9128, 4803, 10530, 7248, 16590, 506, 18074, 4889, 236761, 21284, 611, 1133, 531, 7162, 607, 32187, 3530, 2948, 3004, 653, 4071, 236772, 35380, 9908, 4767, 1262, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 35329, 496, 3539, 2129, 573, 614, 6282, 10054, 657, 506, 18074, 529, 6400, 6718, 532, 20690, 17463, 528, 2599, 702, 527, 236764, 30578, 236764, 840, 564, 1202, 531, 16807, 506, 4453, 4563, 4889, 1680, 564, 740, 7162, 607, 506, 8582, 3927, 573, 10530, 7248, 236761, 669, 2129, 28436, 44898, 506, 3421, 236764, 840, 564, 1461, 531, 4071, 236772, 4256, 506, 15375, 1171, 236761, 9187, 684, 3978, 506, 4563, 4889, 573, 623, 7765, 6718, 532, 20690, 17463, 236764, 2599, 702, 527, 236764, 30578, 236775, 1699, 506, 974, 236779, 7125, 236779, 13308, 5904, 236761, 9920, 611, 735, 1724, 2536, 236764, 8430, 506, 5905, 7363, 1463, 568, 236744, 236761, 236759, 1126, 623, 7765, 6718, 236775, 6775, 623, 7765, 3959, 1299, 1183, 496, 8582, 3927, 5853, 528, 506, 6518, 623, 13708, 24869, 1393, 47720, 17759, 236778, 236771, 236778, 236800, 236775, 568, 5282, 623, 13708, 236772, 66531, 236772, 236778, 236771, 236778, 236800, 236775, 573, 672, 1624, 769, 13472, 236764, 1161, 600, 5853, 531, 12270, 506, 3927, 2536, 4323, 974, 2305, 12103, 236761, 9996, 2889, 531, 6060, 1027, 7377, 3636, 237028, 5282, 768, 506, 7363, 1463, 5132, 623, 236776, 6109, 236775, 653, 623, 894, 207659, 2003, 84625, 1724, 3755, 1680, 20150, 506, 5853, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 7765, 6718, 532, 20690, 17463, 236764, 2599, 702, 527, 236764, 30578, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236819, 236778, 236832, 236778, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236812, 236770, 236800, 236828, 236764, 623, 28611, 1083, 623, 83593, 827, 623, 13319, 1083, 623, 3366, 702, 527, 827, 623, 3255, 1083, 623, 13422, 827, 623, 7720, 236779, 6502, 1083, 3714, 30419, 1083, 623, 7765, 6718, 827, 623, 20955, 236779, 30419, 1083, 623, 79681, 17463, 827, 623, 83593, 236779, 2084, 1083, 623, 20955, 60739, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 547, 1083, 623, 13708, 236772, 66531, 236772, 236778, 236771, 236778, 236800, 827, 623, 12103, 1083, 78493, 10540, 236779, 547, 1083, 623, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 827, 623, 3250, 1083, 623, 3366, 702, 527, 6400, 842, 236786, 79681, 18977, 123937, 72387, 753, 236743, 236771, 236810, 236786, 236770, 236810, 236786, 236778, 236771, 236778, 236800, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 7777, 1083, 623, 7280, 236772, 8269, 31498, 15035, 15339, 529, 10054, 657, 18074, 1913, 20583, 6468, 23179, 3714, 10540, 236779, 547, 1083, 623, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 827, 623, 3250, 1083, 623, 34456, 8708, 236787, 6400, 833, 20690, 18977, 125545, 84028, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236825, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236770, 236828, 236832, 236778, 236764, 623, 7777, 1083, 623, 68734, 10530, 2072, 607, 8827, 5873, 15339, 532, 10021, 11461, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236828, 236761, 236819, 236770, 236800, 236810, 236764, 623, 41713, 1083, 753, 236832, 236832, 236761, 236812, 236810, 236825, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 8582, 3927, 2536, 573, 506, 10530, 657, 6400, 6718, 532, 20690, 17463, 236764, 2599, 702, 527, 236764, 30578, 568, 2305, 5853, 236787, 2165, 13708, 236772, 66531, 236772, 236778, 236771, 236778, 236800, 236929, 1473, 108, 7243, 108, 10354, 5213, 16340, 25252, 1018, 107, 1018, 9640, 17647, 53121, 236743, 236778, 138, 107, 1018, 58713, 568, 2543, 3927, 1473, 1018, 236743, 236800, 236828, 236761, 236819, 236770, 236800, 236810, 237366, 646, 236764, 236743, 236832, 236832, 236761, 236812, 236810, 236825, 236778, 237366, 649, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 11994, 17310, 53121, 138, 107, 236829, 3366, 702, 527, 6400, 842, 236786, 79681, 18977, 123937, 72387, 753, 236743, 236771, 236810, 236786, 236770, 236810, 236786, 236778, 236771, 236778, 236800, 236829, 138, 107, 1018, 6738, 53121, 870, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236874, 236832, 236917, 236819, 236798, 236758, 236778, 236809, 150362, 236792, 236768, 138, 107, 1018, 26669, 6809, 53121, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 1018, 42678, 53121, 236743, 236778, 236764, 236812, 236810, 236771, 138, 107, 1018, 9770, 53121, 808, 7280, 236772, 8269, 31498, 15035, 15339, 529, 10054, 657, 18074, 1913, 20583, 6468, 9603, 108, 7243, 108, 10354, 5213, 236778, 236761, 11994, 17310, 53121, 138, 107, 236829, 34456, 8708, 236787, 6400, 833, 20690, 18977, 125545, 84028, 236829, 138, 107, 1018, 6738, 53121, 870, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 236759, 236814, 236800, 232853, 236828, 236763, 236774, 236809, 236953, 236758, 236768, 138, 107, 1018, 26669, 6809, 53121, 3353, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 1018, 42678, 53121, 236743, 236770, 236764, 236828, 236832, 236778, 138, 107, 1018, 9770, 53121, 808, 68734, 10530, 2072, 607, 8827, 5873, 15339, 532, 10021, 11461, 9603, 108, 7243, 108, 9208, 2536, 9128, 4803, 10530, 7248, 16590, 506, 18074, 4889, 236761, 21284, 611, 1133, 531, 7162, 607, 32187, 3530, 2948, 3004, 653, 4071, 236772, 35380, 9908, 4767, 1262, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 74013, 568, 9256, 8860, 13291, 236768, 1699, 822, 3825, 532, 3558, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 74013, 568, 9256, 8860, 13291, 236768, 1699, 822, 3825, 532, 3558, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 506, 2862, 3736, 529, 1156, 33972, 4699, 531, 10741, 1298, 531, 2233, 1041, 15749, 236761, 5315, 236764, 974, 506, 20843, 3107, 6527, 573, 100732, 568, 35023, 236917, 236768, 532, 49937, 568, 80930, 236768, 699, 236743, 236778, 236771, 236770, 236828, 236772, 236771, 236770, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236761, 44906, 910, 236743, 236810, 236772, 3704, 15067, 236764, 1299, 8701, 837, 2544, 6418, 919, 11646, 1913, 2436, 87451, 236751, 236761, 18186, 580, 600, 236764, 3600, 837, 2473, 577, 496, 34303, 6828, 573, 5026, 6995, 531, 7140, 1131, 26551, 3997, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 35023, 236917, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236812, 236810, 236761, 236825, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236825, 236800, 236761, 236812, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236828, 236819, 236761, 236770, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236800, 236770, 236778, 236761, 236828, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236819, 236828, 236761, 236832, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236800, 236771, 236810, 236761, 236778, 236770, 104960, 623, 80930, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236778, 236778, 236761, 236800, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236800, 236810, 236761, 236828, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236812, 236828, 236761, 236778, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236832, 236800, 236761, 236825, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236825, 236828, 236761, 236812, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236832, 236771, 236761, 236770, 236770, 200808, 623, 21052, 1083, 3714, 27617, 1083, 623, 38556, 827, 623, 2289, 236779, 13873, 1083, 623, 13902, 827, 623, 236287, 236779, 8889, 1083, 623, 96708, 2970, 20843, 127096, 106, 107, 105, 4368, 107, 1018, 35434, 529, 100732, 568, 35023, 236917, 236768, 532, 49937, 568, 80930, 236768, 699, 236743, 236778, 236771, 236770, 236828, 236964, 236778, 236771, 236778, 236800, 53121, 108, 10354, 5213, 236810, 236772, 16431, 48993, 1018, 107, 236772, 5213, 35023, 236917, 53121, 138, 107, 138, 236772, 5213, 236778, 236771, 236770, 236828, 53121, 609, 236778, 236812, 236810, 236761, 236825, 236832, 16130, 5213, 236778, 236771, 236778, 236800, 53121, 609, 236800, 236771, 236810, 236761, 236778, 236770, 32156, 236778, 236812, 236761, 236778, 11376, 138, 107, 138, 236772, 43633, 528, 236743, 236778, 236771, 236778, 236770, 6131, 236800, 236770, 236778, 236761, 236828, 236819, 779, 6641, 684, 496, 5213, 236812, 236761, 236810, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 1018, 568, 16350, 87451, 769, 138, 107, 236772, 5213, 80930, 53121, 138, 107, 138, 236772, 5213, 236778, 236771, 236770, 236828, 53121, 609, 236770, 236778, 236778, 236761, 236800, 236812, 16130, 5213, 236778, 236771, 236778, 236800, 53121, 609, 236770, 236832, 236771, 236761, 236770, 236770, 32156, 236800, 236819, 236761, 236771, 11376, 138, 107, 138, 236772, 132707, 3877, 3097, 236743, 236778, 236771, 236778, 236770, 6131, 236770, 236832, 236800, 236761, 236825, 236810, 779, 1299, 496, 5213, 236800, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 84750, 138, 108, 80930, 149862, 633, 39399, 528, 5213, 78226, 3877, 1018, 532, 9763, 496, 7100, 16670, 1913, 506, 236743, 236778, 236771, 236778, 236778, 87451, 236761, 108, 7243, 108, 10354, 5213, 170728, 9529, 12726, 220344, 794, 236751, 1018, 138, 107, 236772, 5213, 35023, 236917, 53121, 112463, 43866, 568, 236812, 236761, 236810, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 769, 138, 107, 236772, 5213, 80930, 53121, 125936, 16670, 568, 236800, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 779, 6807, 5213, 89785, 35691, 84750, 138, 108, 80930, 13646, 919, 9958, 3736, 236764, 607, 2344, 17511, 531, 2436, 40754, 236761, 108, 7243, 108, 10354, 5213, 211199, 573, 51399, 8813, 54353, 1018, 138, 107, 1018, 80930, 1018, 7412, 531, 577, 506, 34303, 6828, 2779, 531, 236787, 138, 107, 236770, 236761, 5213, 98458, 11646, 1018, 1913, 506, 236743, 236778, 236771, 236778, 236778, 87451, 236761, 138, 107, 236778, 236761, 5213, 4432, 88940, 3877, 33744, 125546, 120022, 607, 1440, 236772, 6061, 33972, 5056, 236761, 138, 107, 236800, 236761, 184809, 25000, 607, 26551, 3997, 15067, 568, 80930, 122425, 18677, 528, 33972, 14896, 532, 24488, 769, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 121353, 1800, 4699, 236789, 5213, 61054, 2404, 1018, 568, 95108, 236764, 34759, 236768, 532, 5213, 186192, 19898, 1018, 528, 26551, 127946, 236786, 111894, 236761, 138, 107, 236772, 14066, 25898, 33972, 3956, 15067, 568, 236744, 236761, 236759, 1126, 545, 236772, 25351, 3877, 236764, 6429, 7797, 35691, 769, 138, 108, 38786, 611, 1133, 19276, 19317, 1131, 910, 163555, 653, 2436, 40101, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 506, 2862, 3736, 529, 1156, 33972, 4699, 531, 10741, 1298, 531, 2233, 1041, 15749, 236761, 5315, 236764, 974, 506, 20843, 3107, 6527, 573, 100732, 568, 35023, 236917, 236768, 532, 49937, 568, 80930, 236768, 699, 236743, 236778, 236771, 236770, 236828, 236772, 236771, 236770, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236761, 44906, 910, 236743, 236810, 236772, 3704, 15067, 236764, 1299, 8701, 837, 2544, 6418, 919, 11646, 1913, 2436, 87451, 236751, 236761, 18186, 580, 600, 236764, 3600, 837, 2473, 577, 496, 34303, 6828, 573, 5026, 6995, 531, 7140, 1131, 26551, 3997, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 35023, 236917, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236812, 236810, 236761, 236825, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236825, 236800, 236761, 236812, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236828, 236819, 236761, 236770, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236800, 236770, 236778, 236761, 236828, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236778, 236819, 236828, 236761, 236832, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236800, 236771, 236810, 236761, 236778, 236770, 104960, 623, 80930, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236778, 236778, 236761, 236800, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236800, 236810, 236761, 236828, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236812, 236828, 236761, 236778, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236832, 236800, 236761, 236825, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236825, 236828, 236761, 236812, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 5977, 1083, 236743, 236770, 236832, 236771, 236761, 236770, 236770, 200808, 623, 21052, 1083, 3714, 27617, 1083, 623, 38556, 827, 623, 2289, 236779, 13873, 1083, 623, 13902, 827, 623, 236287, 236779, 8889, 1083, 623, 96708, 2970, 20843, 127096, 106, 107, 105, 4368, 107, 1018, 35434, 529, 100732, 568, 35023, 236917, 236768, 532, 49937, 568, 80930, 236768, 699, 236743, 236778, 236771, 236770, 236828, 236964, 236778, 236771, 236778, 236800, 53121, 108, 10354, 5213, 236810, 236772, 16431, 48993, 1018, 107, 236772, 5213, 35023, 236917, 53121, 138, 107, 138, 236772, 5213, 236778, 236771, 236770, 236828, 53121, 609, 236778, 236812, 236810, 236761, 236825, 236832, 16130, 5213, 236778, 236771, 236778, 236800, 53121, 609, 236800, 236771, 236810, 236761, 236778, 236770, 32156, 236778, 236812, 236761, 236778, 11376, 138, 107, 138, 236772, 43633, 528, 236743, 236778, 236771, 236778, 236770, 6131, 236800, 236770, 236778, 236761, 236828, 236819, 779, 6641, 684, 496, 5213, 236812, 236761, 236810, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 1018, 568, 16350, 87451, 769, 138, 107, 236772, 5213, 80930, 53121, 138, 107, 138, 236772, 5213, 236778, 236771, 236770, 236828, 53121, 609, 236770, 236778, 236778, 236761, 236800, 236812, 16130, 5213, 236778, 236771, 236778, 236800, 53121, 609, 236770, 236832, 236771, 236761, 236770, 236770, 32156, 236800, 236819, 236761, 236771, 11376, 138, 107, 138, 236772, 132707, 3877, 3097, 236743, 236778, 236771, 236778, 236770, 6131, 236770, 236832, 236800, 236761, 236825, 236810, 779, 1299, 496, 5213, 236800, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 84750, 138, 108, 80930, 149862, 633, 39399, 528, 5213, 78226, 3877, 1018, 532, 9763, 496, 7100, 16670, 1913, 506, 236743, 236778, 236771, 236778, 236778, 87451, 236761, 108, 7243, 108, 10354, 5213, 170728, 9529, 12726, 220344, 794, 236751, 1018, 138, 107, 236772, 5213, 35023, 236917, 53121, 112463, 43866, 568, 236812, 236761, 236810, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 769, 138, 107, 236772, 5213, 80930, 53121, 125936, 16670, 568, 236800, 236908, 7266, 528, 236743, 236778, 236771, 236778, 236778, 779, 6807, 5213, 89785, 35691, 84750, 138, 108, 80930, 13646, 919, 9958, 3736, 236764, 607, 2344, 17511, 531, 2436, 40754, 236761, 108, 7243, 108, 10354, 5213, 211199, 573, 51399, 8813, 54353, 1018, 138, 107, 1018, 80930, 1018, 7412, 531, 577, 506, 34303, 6828, 2779, 531, 236787, 138, 107, 236770, 236761, 5213, 98458, 11646, 1018, 1913, 506, 236743, 236778, 236771, 236778, 236778, 87451, 236761, 138, 107, 236778, 236761, 5213, 4432, 88940, 3877, 33744, 125546, 120022, 607, 1440, 236772, 6061, 33972, 5056, 236761, 138, 107, 236800, 236761, 184809, 25000, 607, 26551, 3997, 15067, 568, 80930, 122425, 18677, 528, 33972, 14896, 532, 24488, 769, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 121353, 1800, 4699, 236789, 5213, 61054, 2404, 1018, 568, 95108, 236764, 34759, 236768, 532, 5213, 186192, 19898, 1018, 528, 26551, 127946, 236786, 111894, 236761, 138, 107, 236772, 14066, 25898, 33972, 3956, 15067, 568, 236744, 236761, 236759, 1126, 545, 236772, 25351, 3877, 236764, 6429, 7797, 35691, 769, 138, 108, 38786, 611, 1133, 19276, 19317, 1131, 910, 163555, 653, 2436, 40101, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 6361, 607, 24121, 496, 19406, 618, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2121, 600, 4209, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 1385, 872, 3658, 22414, 236761, 21284, 611, 1133, 786, 531, 1601, 607, 2613, 1663, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 6361, 607, 24121, 496, 19406, 618, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2121, 600, 4209, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 1385, 872, 3658, 22414, 236761, 21284, 611, 1133, 786, 531, 1601, 607, 2613, 1663, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 30493, 496, 5707, 2913, 18669, 573, 21640, 22072, 657, 1041, 2544, 236761, 5315, 236764, 2426, 768, 5602, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 103251, 618, 614, 18315, 2881, 236761, 1637, 901, 776, 236764, 18855, 600, 1023, 13015, 236743, 236778, 236810, 11383, 20239, 910, 6541, 6035, 236761, 13472, 236764, 9279, 506, 2558, 2886, 573, 506, 2460, 2440, 506, 236743, 236828, 236761, 236778, 236810, 236908, 17850, 5886, 3869, 580, 506, 3225, 2157, 529, 609, 236800, 236764, 236778, 236771, 236771, 236761, 3792, 236789, 236751, 7162, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 98204, 1083, 1847, 236764, 623, 11622, 236779, 4818, 1083, 623, 116526, 827, 623, 48578, 236779, 34436, 1083, 236743, 236778, 236771, 236764, 623, 21519, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236810, 236764, 623, 21519, 236779, 109982, 236779, 6725, 1083, 236743, 236800, 236812, 236825, 236812, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 4375, 1083, 623, 140212, 1527, 529, 236743, 236778, 236810, 20239, 6541, 6035, 827, 623, 48578, 236779, 4818, 1083, 623, 59849, 827, 623, 2074, 236779, 36217, 1083, 236743, 236800, 236771, 236764, 623, 23184, 1083, 623, 236773, 21955, 5405, 2487, 573, 236743, 236778, 236810, 11383, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 13304, 1083, 236743, 236800, 236812, 236825, 236812, 236771, 236771, 236761, 236771, 236764, 623, 13308, 1083, 3714, 5521, 236779, 13304, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 21519, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236810, 236764, 623, 21519, 236779, 13304, 1083, 236743, 236778, 236825, 236812, 236771, 236771, 236761, 236771, 1807, 106, 107, 105, 4368, 107, 818, 18669, 6995, 563, 44526, 532, 5508, 531, 7162, 236787, 108, 236770, 236761, 5213, 116526, 18365, 66515, 17438, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 103251, 618, 614, 18315, 2881, 568, 48578, 14272, 236787, 236743, 236778, 236771, 11383, 769, 108, 236778, 236761, 5213, 140212, 4308, 66515, 669, 13015, 236743, 236778, 236810, 11383, 659, 10833, 568, 42409, 6208, 236787, 236743, 236800, 236771, 236793, 7271, 5405, 2487, 769, 108, 236800, 236761, 5213, 9640, 11117, 86249, 66515, 107, 139, 236772, 10116, 2157, 236787, 609, 236800, 236764, 236778, 236771, 236771, 236761, 236771, 236771, 107, 139, 236772, 17850, 5886, 3869, 568, 236828, 236761, 236778, 236810, 236908, 1473, 609, 236778, 236825, 236812, 236761, 236771, 236771, 107, 139, 236772, 5213, 17667, 2558, 66515, 609, 236800, 236764, 236812, 236825, 236812, 236761, 236771, 236771, 108, 3243, 6035, 659, 1645, 236761, 21284, 611, 1133, 10686, 607, 2148, 6555, 1133, 49378, 506, 22479, 653, 20150, 614, 43189, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 30493, 496, 5707, 2913, 18669, 573, 21640, 22072, 657, 1041, 2544, 236761, 5315, 236764, 2426, 768, 5602, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 103251, 618, 614, 18315, 2881, 236761, 1637, 901, 776, 236764, 18855, 600, 1023, 13015, 236743, 236778, 236810, 11383, 20239, 910, 6541, 6035, 236761, 13472, 236764, 9279, 506, 2558, 2886, 573, 506, 2460, 2440, 506, 236743, 236828, 236761, 236778, 236810, 236908, 17850, 5886, 3869, 580, 506, 3225, 2157, 529, 609, 236800, 236764, 236778, 236771, 236771, 236761, 3792, 236789, 236751, 7162, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 98204, 1083, 1847, 236764, 623, 11622, 236779, 4818, 1083, 623, 116526, 827, 623, 48578, 236779, 34436, 1083, 236743, 236778, 236771, 236764, 623, 21519, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236810, 236764, 623, 21519, 236779, 109982, 236779, 6725, 1083, 236743, 236800, 236812, 236825, 236812, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 4375, 1083, 623, 140212, 1527, 529, 236743, 236778, 236810, 20239, 6541, 6035, 827, 623, 48578, 236779, 4818, 1083, 623, 59849, 827, 623, 2074, 236779, 36217, 1083, 236743, 236800, 236771, 236764, 623, 23184, 1083, 623, 236773, 21955, 5405, 2487, 573, 236743, 236778, 236810, 11383, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 13304, 1083, 236743, 236800, 236812, 236825, 236812, 236771, 236771, 236761, 236771, 236764, 623, 13308, 1083, 3714, 5521, 236779, 13304, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 21519, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236810, 236764, 623, 21519, 236779, 13304, 1083, 236743, 236778, 236825, 236812, 236771, 236771, 236761, 236771, 1807, 106, 107, 105, 4368, 107, 818, 18669, 6995, 563, 44526, 532, 5508, 531, 7162, 236787, 108, 236770, 236761, 5213, 116526, 18365, 66515, 17438, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 103251, 618, 614, 18315, 2881, 568, 48578, 14272, 236787, 236743, 236778, 236771, 11383, 769, 108, 236778, 236761, 5213, 140212, 4308, 66515, 669, 13015, 236743, 236778, 236810, 11383, 659, 10833, 568, 42409, 6208, 236787, 236743, 236800, 236771, 236793, 7271, 5405, 2487, 769, 108, 236800, 236761, 5213, 9640, 11117, 86249, 66515, 107, 139, 236772, 10116, 2157, 236787, 609, 236800, 236764, 236778, 236771, 236771, 236761, 236771, 236771, 107, 139, 236772, 17850, 5886, 3869, 568, 236828, 236761, 236778, 236810, 236908, 1473, 609, 236778, 236825, 236812, 236761, 236771, 236771, 107, 139, 236772, 5213, 17667, 2558, 66515, 609, 236800, 236764, 236812, 236825, 236812, 236761, 236771, 236771, 108, 3243, 6035, 659, 1645, 236761, 21284, 611, 1133, 10686, 607, 2148, 6555, 1133, 49378, 506, 22479, 653, 20150, 614, 43189, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 1386, 2889, 1041, 1118, 1777, 15028, 563, 24636, 236761, 3199, 611, 1385, 872, 6672, 26135, 1118, 1777, 23642, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 63190, 26135, 20185, 1777, 827, 623, 7777, 1083, 623, 236776, 83862, 56312, 1603, 607, 3395, 6592, 532, 29042, 236764, 56677, 607, 19555, 677, 2538, 532, 35226, 10498, 623, 91963, 236779, 2289, 1083, 623, 236778, 3885, 827, 623, 14905, 236779, 2289, 1083, 623, 236800, 3885, 827, 623, 77095, 1083, 11058, 236758, 802, 17198, 827, 623, 13994, 6592, 827, 623, 89754, 91852, 677, 2538, 827, 623, 94438, 827, 623, 5359, 788, 827, 623, 128684, 827, 623, 663, 62951, 827, 623, 29047, 6895, 827, 623, 39248, 14255, 623, 96654, 1083, 623, 236770, 236761, 219328, 3395, 6592, 24602, 236761, 236743, 236778, 236761, 9833, 29042, 528, 496, 2197, 236761, 236743, 236800, 236761, 4140, 677, 2538, 236764, 29508, 236764, 532, 35226, 236761, 236743, 236812, 236761, 4508, 1042, 607, 3395, 6592, 573, 236743, 236778, 236772, 236800, 3885, 3097, 21870, 221476, 3714, 1201, 1083, 623, 9264, 20185, 1777, 607, 111041, 827, 623, 7777, 1083, 623, 83738, 2604, 1118, 1777, 18482, 8326, 137974, 71072, 532, 21870, 29042, 10498, 623, 91963, 236779, 2289, 1083, 623, 236770, 6468, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 236761, 236810, 3885, 827, 623, 77095, 1083, 11058, 236758, 802, 52050, 827, 623, 13994, 6592, 827, 623, 89754, 1533, 1196, 13703, 677, 2538, 827, 623, 29828, 15202, 827, 623, 94438, 827, 623, 128684, 827, 623, 29047, 6895, 827, 623, 39248, 14255, 623, 96654, 1083, 623, 236770, 236761, 25068, 677, 2538, 532, 22064, 1131, 21836, 236761, 236743, 236778, 236761, 9940, 29042, 607, 21836, 532, 29979, 236761, 236743, 236800, 236761, 4140, 3395, 6592, 532, 85460, 3097, 21870, 221476, 3714, 1201, 1083, 623, 17224, 20185, 1777, 827, 623, 7777, 1083, 623, 32051, 532, 177219, 1118, 1777, 1603, 607, 165957, 42087, 532, 3826, 677, 2538, 10498, 623, 91963, 236779, 2289, 1083, 623, 236812, 236810, 4310, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 3885, 827, 623, 77095, 1083, 11058, 98505, 89386, 827, 623, 13994, 6592, 827, 623, 236745, 26397, 42087, 827, 623, 22714, 2359, 236785, 236756, 236771, 236771, 236760, 236770, 585, 827, 623, 110289, 115244, 827, 623, 94438, 827, 623, 5359, 788, 827, 623, 128684, 14255, 623, 96654, 1083, 623, 236770, 236761, 187986, 165957, 42087, 532, 677, 2538, 236761, 236743, 236778, 236761, 99603, 607, 29508, 532, 135616, 236761, 236743, 236800, 236761, 4508, 1042, 12480, 528, 71072, 607, 3395, 6592, 532, 16510, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 6672, 26135, 1118, 1777, 23642, 564, 1765, 573, 611, 236787, 108, 10354, 236743, 236770, 236761, 5213, 63190, 26135, 20185, 1777, 1018, 138, 107, 236772, 5213, 9770, 66515, 562, 83862, 56312, 1603, 607, 3395, 6592, 532, 29042, 236764, 56677, 607, 19555, 677, 2538, 532, 35226, 236761, 138, 107, 236772, 5213, 36286, 7578, 66515, 236743, 236778, 3885, 1109, 5213, 22959, 7578, 66515, 236743, 236800, 3885, 138, 107, 236772, 5213, 64690, 66515, 29042, 17198, 236764, 3395, 6592, 236764, 19555, 91852, 677, 2538, 236764, 32159, 236764, 29508, 236764, 142513, 236764, 140335, 236764, 15158, 6895, 236764, 9551, 138, 107, 236772, 5213, 81851, 66515, 138, 107, 138, 236770, 236761, 219328, 3395, 6592, 24602, 236761, 138, 107, 138, 236778, 236761, 9833, 29042, 528, 496, 2197, 236761, 138, 107, 138, 236800, 236761, 4140, 677, 2538, 236764, 29508, 236764, 532, 35226, 236761, 138, 107, 138, 236812, 236761, 4508, 1042, 607, 3395, 6592, 573, 236743, 236778, 236772, 236800, 3885, 3097, 21870, 236761, 138, 108, 10354, 236743, 236778, 236761, 5213, 9264, 20185, 1777, 607, 111041, 1018, 138, 107, 236772, 5213, 9770, 66515, 27847, 2604, 1118, 1777, 18482, 8326, 137974, 71072, 532, 21870, 29042, 236761, 138, 107, 236772, 5213, 36286, 7578, 66515, 236743, 236770, 6468, 1109, 5213, 22959, 7578, 66515, 236743, 236778, 236761, 236810, 3885, 138, 107, 236772, 5213, 64690, 66515, 29042, 52050, 236764, 3395, 6592, 236764, 19555, 1533, 1196, 13703, 677, 2538, 236764, 29979, 236764, 32159, 236764, 142513, 236764, 15158, 6895, 236764, 9551, 138, 107, 236772, 5213, 81851, 66515, 138, 107, 138, 236770, 236761, 25068, 677, 2538, 532, 22064, 1131, 21836, 236761, 138, 107, 138, 236778, 236761, 9940, 29042, 607, 21836, 532, 29979, 236761, 138, 107, 138, 236800, 236761, 4140, 3395, 6592, 532, 85460, 3097, 21870, 236761, 138, 108, 10354, 236743, 236800, 236761, 5213, 17224, 20185, 1777, 1018, 138, 107, 236772, 5213, 9770, 66515, 28776, 532, 177219, 1118, 1777, 1603, 607, 165957, 42087, 532, 3826, 677, 2538, 236761, 138, 107, 236772, 5213, 36286, 7578, 66515, 236743, 236812, 236810, 4310, 1109, 5213, 22959, 7578, 66515, 236743, 236778, 3885, 138, 107, 236772, 5213, 64690, 66515, 12480, 89386, 236764, 3395, 6592, 236764, 165957, 42087, 236764, 50346, 2359, 7465, 236764, 135616, 236764, 32159, 236764, 29508, 236764, 142513, 138, 107, 236772, 5213, 81851, 66515, 138, 107, 138, 236770, 236761, 187986, 165957, 42087, 532, 677, 2538, 236761, 138, 107, 138, 236778, 236761, 99603, 607, 29508, 532, 135616, 236761, 138, 107, 138, 236800, 236761, 4508, 1042, 12480, 528, 71072, 607, 3395, 6592, 532, 16510, 236761, 138, 108, 3243, 1806, 659, 24636, 10969, 15936, 529, 1118, 1777, 236761, 21284, 611, 1133, 1601, 22020, 822, 15028, 531, 1239, 236764, 653, 4889, 1003, 496, 3530, 2918, 236881, 103453, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 1041, 15028, 236787, 564, 1161, 236743, 236778, 16931, 29042, 17198, 236764, 70811, 24602, 3395, 6592, 236764, 197343, 29042, 236764, 1299, 1138, 236743, 236778, 19555, 91852, 677, 2538, 568, 177927, 532, 55044, 779, 236743, 236770, 19555, 1533, 1196, 13703, 236764, 29508, 236764, 32159, 236764, 142513, 236764, 140335, 236764, 15158, 6895, 236761, 4508, 1042, 573, 236743, 236800, 3885, 236761, 2640, 506, 1345, 236764, 564, 1138, 496, 38088, 529, 26677, 17926, 532, 7298, 607, 1041, 31412, 160704, 236761, 2088, 1677, 672, 10166, 872, 2342, 506, 6672, 23642, 611, 1765, 236881, 106, 107, 105, 4368, 107, 11069, 15028, 563, 5213, 1158, 3107, 531, 24636, 6672, 26135, 1118, 1777, 1018, 236888, 5715, 236789, 236751, 1217, 625, 48068, 531, 506, 23642, 564, 1765, 236787, 108, 10354, 113452, 5213, 3689, 236789, 236751, 7075, 236772, 498, 66515, 107, 236772, 5213, 236791, 802, 17198, 900, 3395, 6592, 66515, 145918, 506, 7157, 529, 784, 6672, 1118, 1777, 23642, 236761, 107, 236772, 5213, 4324, 1557, 3395, 6592, 24602, 66515, 58178, 573, 7595, 568, 712, 23642, 1660, 672, 769, 107, 236772, 5213, 236799, 48765, 29042, 1171, 66515, 13029, 9939, 573, 8744, 529, 18434, 236761, 107, 236772, 5213, 172633, 677, 2538, 568, 508, 3537, 900, 1533, 1196, 13703, 62902, 236787, 562, 808, 11147, 10969, 13041, 236829, 236888, 5978, 1070, 23642, 1161, 808, 8960, 236829, 91852, 568, 5282, 506, 1171, 15028, 779, 3496, 22064, 91852, 532, 1533, 1196, 13703, 573, 496, 65046, 236764, 8427, 44153, 1099, 71072, 568, 5025, 1196, 13703, 13586, 177219, 5387, 769, 1174, 563, 13275, 24636, 237028, 34717, 708, 1124, 40249, 653, 6082, 26135, 14273, 1161, 672, 32250, 236761, 107, 236772, 5213, 206143, 17926, 657, 506, 1345, 66515, 562, 9760, 24226, 6374, 573, 36346, 236761, 107, 236772, 5213, 112332, 160704, 66515, 43899, 12284, 134221, 568, 74860, 16195, 4226, 8546, 236764, 54678, 236764, 532, 51854, 769, 108, 10354, 236743, 246533, 5213, 66476, 8687, 66515, 107, 236772, 4943, 6672, 23642, 568, 5282, 506, 623, 9264, 20185, 1777, 607, 111041, 236775, 2591, 236768, 3204, 5213, 29828, 15202, 1018, 573, 3742, 64418, 532, 8744, 236761, 5180, 15028, 184254, 672, 236764, 840, 1551, 10969, 14062, 568, 38279, 528, 214752, 27946, 653, 191472, 236768, 68442, 29979, 11716, 236761, 1030, 236858, 236751, 2036, 4341, 236888, 107, 236772, 669, 1171, 15028, 564, 7659, 1456, 808, 8960, 236829, 91852, 677, 2538, 236764, 840, 822, 22064, 529, 5213, 508, 3537, 900, 1533, 1196, 13703, 1018, 563, 496, 14788, 26339, 237028, 19256, 84285, 1581, 2246, 672, 623, 1163, 1777, 65096, 591, 91241, 569, 677, 2538, 236775, 568, 1192, 1118, 1777, 607, 9726, 677, 2538, 769, 108, 10354, 236743, 242507, 5213, 203949, 66515, 138, 107, 11069, 15028, 563, 5213, 236770, 236771, 236771, 236908, 24636, 1018, 532, 22136, 496, 1759, 236772, 12392, 13041, 236761, 1637, 611, 1461, 531, 5274, 3342, 236764, 2056, 8009, 496, 138748, 30336, 1913, 506, 85460, 568, 5282, 506, 1855, 15028, 779, 840, 822, 1873, 3567, 563, 3016, 14788, 532, 6672, 236761, 21284, 611, 1133, 11221, 580, 34405, 8546, 653, 12284, 19205, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 4781, 7298, 625, 607, 96951, 54678, 236764, 4226, 8546, 236764, 532, 51854, 236764, 840, 564, 1461, 531, 1386, 2889, 564, 236858, 236757, 711, 9724, 1027, 24636, 105785, 236761, 2900, 659, 506, 6672, 34405, 8546, 573, 1118, 1777, 528, 1607, 9576, 529, 13251, 236881, 564, 1461, 531, 11594, 1041, 23789, 657, 506, 2197, 91624, 236888, 106, 107, 105, 4368, 107, 20418, 2934, 236888, 43899, 1118, 1777, 34405, 8546, 9729, 29830, 3418, 13251, 236858, 236751, 9576, 237028, 8472, 236858, 236751, 1217, 531, 64460, 822, 2197, 91624, 607, 24636, 33466, 236787, 108, 10354, 236743, 245191, 5213, 98472, 667, 64127, 166977, 66515, 107, 236772, 5213, 36043, 13251, 568, 85226, 4085, 236764, 31250, 569, 32577, 62902, 236787, 138, 107, 138, 240732, 5213, 1659, 734, 2762, 1284, 1018, 568, 155515, 2551, 29042, 637, 13080, 236768, 900, 5213, 236745, 731, 5102, 1018, 568, 47554, 133554, 34267, 236768, 138, 107, 138, 240732, 5213, 7670, 30859, 32892, 1018, 653, 5213, 5025, 165536, 1018, 138, 107, 138, 240732, 808, 83738, 32250, 63508, 9504, 8546, 236764, 54678, 236764, 26677, 236764, 135616, 236764, 532, 32159, 236761, 108, 236772, 5213, 236806, 143204, 66515, 138, 107, 138, 240732, 5213, 29984, 198085, 6895, 1018, 568, 236746, 86322, 29038, 236764, 3742, 5756, 236768, 138, 107, 138, 240732, 5213, 236773, 44144, 569, 137974, 39130, 1018, 568, 4671, 232371, 236764, 3996, 71800, 236768, 138, 107, 138, 240732, 5213, 236935, 1303, 236748, 66389, 1018, 568, 8162, 38829, 5756, 13840, 236768, 573, 9728, 1583, 236761, 108, 236772, 5213, 236863, 17037, 1364, 66515, 138, 107, 138, 240732, 5213, 236773, 44144, 36709, 1018, 568, 236745, 26397, 13703, 236772, 5140, 236764, 177219, 532, 7804, 236768, 138, 107, 138, 240732, 562, 143996, 529, 5213, 906, 841, 1018, 568, 158333, 21049, 9728, 236768, 573, 75486, 236761, 138, 107, 138, 240732, 808, 90981, 33481, 607, 26677, 532, 135616, 22429, 108, 236772, 5213, 236773, 1049, 27946, 66515, 138, 107, 138, 240732, 5213, 28902, 26677, 112931, 1018, 900, 5213, 40323, 135616, 1018, 138, 107, 138, 240732, 562, 38088, 529, 5213, 574, 755, 569, 65124, 3425, 16510, 1018, 573, 5387, 236761, 138, 107, 138, 240732, 60217, 617, 840, 27323, 236762, 237028, 1904, 13840, 653, 51854, 236761, 108, 236772, 5213, 72982, 13251, 66515, 138, 107, 138, 240732, 5213, 3138, 1192, 7156, 59996, 1018, 568, 90486, 529, 54678, 236768, 138, 107, 138, 240732, 5213, 18721, 841, 1018, 653, 5213, 6601, 236748, 66389, 1018, 573, 496, 5427, 9530, 236761, 138, 107, 138, 240732, 17983, 32159, 532, 26677, 573, 7002, 236761, 108, 10354, 204906, 5213, 33071, 91624, 1255, 42272, 66515, 138, 107, 3974, 872, 496, 5213, 236759, 64127, 3029, 1018, 607, 236787, 138, 107, 236772, 9504, 8546, 568, 46910, 586, 48661, 779, 54678, 236764, 26677, 112931, 236764, 135616, 236764, 32159, 138, 107, 236772, 177208, 122237, 568, 1192, 236768, 900, 71800, 36709, 568, 10671, 236768, 138, 107, 236772, 971, 734, 2762, 1284, 236764, 219470, 5102, 236764, 51854, 32892, 138, 107, 236772, 158046, 236748, 66389, 532, 99369, 568, 31162, 840, 15678, 236772, 942, 3444, 15520, 138, 108, 2094, 19518, 12286, 38065, 910, 52912, 1133, 1847, 26135, 808, 1163, 551, 9802, 236829, 236888, 5180, 1873, 105785, 568, 236755, 129113, 236764, 4226, 8546, 236764, 51854, 236768, 659, 3016, 7075, 236772, 498, 237028, 4662, 1164, 236743, 236770, 236964, 236778, 10969, 52287, 795, 1386, 625, 4481, 2803, 236761, 103453, 138, 108, 236829, 46038, 786, 531, 4024, 496, 3823, 15028, 573, 31412, 71800, 36709, 653, 137974, 569, 65124, 3425, 16510, 236881, 236829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 1386, 2889, 1041, 1118, 1777, 15028, 563, 24636, 236761, 3199, 611, 1385, 872, 6672, 26135, 1118, 1777, 23642, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 63190, 26135, 20185, 1777, 827, 623, 7777, 1083, 623, 236776, 83862, 56312, 1603, 607, 3395, 6592, 532, 29042, 236764, 56677, 607, 19555, 677, 2538, 532, 35226, 10498, 623, 91963, 236779, 2289, 1083, 623, 236778, 3885, 827, 623, 14905, 236779, 2289, 1083, 623, 236800, 3885, 827, 623, 77095, 1083, 11058, 236758, 802, 17198, 827, 623, 13994, 6592, 827, 623, 89754, 91852, 677, 2538, 827, 623, 94438, 827, 623, 5359, 788, 827, 623, 128684, 827, 623, 663, 62951, 827, 623, 29047, 6895, 827, 623, 39248, 14255, 623, 96654, 1083, 623, 236770, 236761, 219328, 3395, 6592, 24602, 236761, 236743, 236778, 236761, 9833, 29042, 528, 496, 2197, 236761, 236743, 236800, 236761, 4140, 677, 2538, 236764, 29508, 236764, 532, 35226, 236761, 236743, 236812, 236761, 4508, 1042, 607, 3395, 6592, 573, 236743, 236778, 236772, 236800, 3885, 3097, 21870, 221476, 3714, 1201, 1083, 623, 9264, 20185, 1777, 607, 111041, 827, 623, 7777, 1083, 623, 83738, 2604, 1118, 1777, 18482, 8326, 137974, 71072, 532, 21870, 29042, 10498, 623, 91963, 236779, 2289, 1083, 623, 236770, 6468, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 236761, 236810, 3885, 827, 623, 77095, 1083, 11058, 236758, 802, 52050, 827, 623, 13994, 6592, 827, 623, 89754, 1533, 1196, 13703, 677, 2538, 827, 623, 29828, 15202, 827, 623, 94438, 827, 623, 128684, 827, 623, 29047, 6895, 827, 623, 39248, 14255, 623, 96654, 1083, 623, 236770, 236761, 25068, 677, 2538, 532, 22064, 1131, 21836, 236761, 236743, 236778, 236761, 9940, 29042, 607, 21836, 532, 29979, 236761, 236743, 236800, 236761, 4140, 3395, 6592, 532, 85460, 3097, 21870, 221476, 3714, 1201, 1083, 623, 17224, 20185, 1777, 827, 623, 7777, 1083, 623, 32051, 532, 177219, 1118, 1777, 1603, 607, 165957, 42087, 532, 3826, 677, 2538, 10498, 623, 91963, 236779, 2289, 1083, 623, 236812, 236810, 4310, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 3885, 827, 623, 77095, 1083, 11058, 98505, 89386, 827, 623, 13994, 6592, 827, 623, 236745, 26397, 42087, 827, 623, 22714, 2359, 236785, 236756, 236771, 236771, 236760, 236770, 585, 827, 623, 110289, 115244, 827, 623, 94438, 827, 623, 5359, 788, 827, 623, 128684, 14255, 623, 96654, 1083, 623, 236770, 236761, 187986, 165957, 42087, 532, 677, 2538, 236761, 236743, 236778, 236761, 99603, 607, 29508, 532, 135616, 236761, 236743, 236800, 236761, 4508, 1042, 12480, 528, 71072, 607, 3395, 6592, 532, 16510, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 6672, 26135, 1118, 1777, 23642, 564, 1765, 573, 611, 236787, 108, 10354, 236743, 236770, 236761, 5213, 63190, 26135, 20185, 1777, 1018, 138, 107, 236772, 5213, 9770, 66515, 562, 83862, 56312, 1603, 607, 3395, 6592, 532, 29042, 236764, 56677, 607, 19555, 677, 2538, 532, 35226, 236761, 138, 107, 236772, 5213, 36286, 7578, 66515, 236743, 236778, 3885, 1109, 5213, 22959, 7578, 66515, 236743, 236800, 3885, 138, 107, 236772, 5213, 64690, 66515, 29042, 17198, 236764, 3395, 6592, 236764, 19555, 91852, 677, 2538, 236764, 32159, 236764, 29508, 236764, 142513, 236764, 140335, 236764, 15158, 6895, 236764, 9551, 138, 107, 236772, 5213, 81851, 66515, 138, 107, 138, 236770, 236761, 219328, 3395, 6592, 24602, 236761, 138, 107, 138, 236778, 236761, 9833, 29042, 528, 496, 2197, 236761, 138, 107, 138, 236800, 236761, 4140, 677, 2538, 236764, 29508, 236764, 532, 35226, 236761, 138, 107, 138, 236812, 236761, 4508, 1042, 607, 3395, 6592, 573, 236743, 236778, 236772, 236800, 3885, 3097, 21870, 236761, 138, 108, 10354, 236743, 236778, 236761, 5213, 9264, 20185, 1777, 607, 111041, 1018, 138, 107, 236772, 5213, 9770, 66515, 27847, 2604, 1118, 1777, 18482, 8326, 137974, 71072, 532, 21870, 29042, 236761, 138, 107, 236772, 5213, 36286, 7578, 66515, 236743, 236770, 6468, 1109, 5213, 22959, 7578, 66515, 236743, 236778, 236761, 236810, 3885, 138, 107, 236772, 5213, 64690, 66515, 29042, 52050, 236764, 3395, 6592, 236764, 19555, 1533, 1196, 13703, 677, 2538, 236764, 29979, 236764, 32159, 236764, 142513, 236764, 15158, 6895, 236764, 9551, 138, 107, 236772, 5213, 81851, 66515, 138, 107, 138, 236770, 236761, 25068, 677, 2538, 532, 22064, 1131, 21836, 236761, 138, 107, 138, 236778, 236761, 9940, 29042, 607, 21836, 532, 29979, 236761, 138, 107, 138, 236800, 236761, 4140, 3395, 6592, 532, 85460, 3097, 21870, 236761, 138, 108, 10354, 236743, 236800, 236761, 5213, 17224, 20185, 1777, 1018, 138, 107, 236772, 5213, 9770, 66515, 28776, 532, 177219, 1118, 1777, 1603, 607, 165957, 42087, 532, 3826, 677, 2538, 236761, 138, 107, 236772, 5213, 36286, 7578, 66515, 236743, 236812, 236810, 4310, 1109, 5213, 22959, 7578, 66515, 236743, 236778, 3885, 138, 107, 236772, 5213, 64690, 66515, 12480, 89386, 236764, 3395, 6592, 236764, 165957, 42087, 236764, 50346, 2359, 7465, 236764, 135616, 236764, 32159, 236764, 29508, 236764, 142513, 138, 107, 236772, 5213, 81851, 66515, 138, 107, 138, 236770, 236761, 187986, 165957, 42087, 532, 677, 2538, 236761, 138, 107, 138, 236778, 236761, 99603, 607, 29508, 532, 135616, 236761, 138, 107, 138, 236800, 236761, 4508, 1042, 12480, 528, 71072, 607, 3395, 6592, 532, 16510, 236761, 138, 108, 3243, 1806, 659, 24636, 10969, 15936, 529, 1118, 1777, 236761, 21284, 611, 1133, 1601, 22020, 822, 15028, 531, 1239, 236764, 653, 4889, 1003, 496, 3530, 2918, 236881, 103453, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 1041, 15028, 236787, 564, 1161, 236743, 236778, 16931, 29042, 17198, 236764, 70811, 24602, 3395, 6592, 236764, 197343, 29042, 236764, 1299, 1138, 236743, 236778, 19555, 91852, 677, 2538, 568, 177927, 532, 55044, 779, 236743, 236770, 19555, 1533, 1196, 13703, 236764, 29508, 236764, 32159, 236764, 142513, 236764, 140335, 236764, 15158, 6895, 236761, 4508, 1042, 573, 236743, 236800, 3885, 236761, 2640, 506, 1345, 236764, 564, 1138, 496, 38088, 529, 26677, 17926, 532, 7298, 607, 1041, 31412, 160704, 236761, 2088, 1677, 672, 10166, 872, 2342, 506, 6672, 23642, 611, 1765, 236881, 106, 107, 105, 4368, 107, 11069, 15028, 563, 5213, 1158, 3107, 531, 24636, 6672, 26135, 1118, 1777, 1018, 236888, 5715, 236789, 236751, 1217, 625, 48068, 531, 506, 23642, 564, 1765, 236787, 108, 10354, 113452, 5213, 3689, 236789, 236751, 7075, 236772, 498, 66515, 107, 236772, 5213, 236791, 802, 17198, 900, 3395, 6592, 66515, 145918, 506, 7157, 529, 784, 6672, 1118, 1777, 23642, 236761, 107, 236772, 5213, 4324, 1557, 3395, 6592, 24602, 66515, 58178, 573, 7595, 568, 712, 23642, 1660, 672, 769, 107, 236772, 5213, 236799, 48765, 29042, 1171, 66515, 13029, 9939, 573, 8744, 529, 18434, 236761, 107, 236772, 5213, 172633, 677, 2538, 568, 508, 3537, 900, 1533, 1196, 13703, 62902, 236787, 562, 808, 11147, 10969, 13041, 236829, 236888, 5978, 1070, 23642, 1161, 808, 8960, 236829, 91852, 568, 5282, 506, 1171, 15028, 779, 3496, 22064, 91852, 532, 1533, 1196, 13703, 573, 496, 65046, 236764, 8427, 44153, 1099, 71072, 568, 5025, 1196, 13703, 13586, 177219, 5387, 769, 1174, 563, 13275, 24636, 237028, 34717, 708, 1124, 40249, 653, 6082, 26135, 14273, 1161, 672, 32250, 236761, 107, 236772, 5213, 206143, 17926, 657, 506, 1345, 66515, 562, 9760, 24226, 6374, 573, 36346, 236761, 107, 236772, 5213, 112332, 160704, 66515, 43899, 12284, 134221, 568, 74860, 16195, 4226, 8546, 236764, 54678, 236764, 532, 51854, 769, 108, 10354, 236743, 246533, 5213, 66476, 8687, 66515, 107, 236772, 4943, 6672, 23642, 568, 5282, 506, 623, 9264, 20185, 1777, 607, 111041, 236775, 2591, 236768, 3204, 5213, 29828, 15202, 1018, 573, 3742, 64418, 532, 8744, 236761, 5180, 15028, 184254, 672, 236764, 840, 1551, 10969, 14062, 568, 38279, 528, 214752, 27946, 653, 191472, 236768, 68442, 29979, 11716, 236761, 1030, 236858, 236751, 2036, 4341, 236888, 107, 236772, 669, 1171, 15028, 564, 7659, 1456, 808, 8960, 236829, 91852, 677, 2538, 236764, 840, 822, 22064, 529, 5213, 508, 3537, 900, 1533, 1196, 13703, 1018, 563, 496, 14788, 26339, 237028, 19256, 84285, 1581, 2246, 672, 623, 1163, 1777, 65096, 591, 91241, 569, 677, 2538, 236775, 568, 1192, 1118, 1777, 607, 9726, 677, 2538, 769, 108, 10354, 236743, 242507, 5213, 203949, 66515, 138, 107, 11069, 15028, 563, 5213, 236770, 236771, 236771, 236908, 24636, 1018, 532, 22136, 496, 1759, 236772, 12392, 13041, 236761, 1637, 611, 1461, 531, 5274, 3342, 236764, 2056, 8009, 496, 138748, 30336, 1913, 506, 85460, 568, 5282, 506, 1855, 15028, 779, 840, 822, 1873, 3567, 563, 3016, 14788, 532, 6672, 236761, 21284, 611, 1133, 11221, 580, 34405, 8546, 653, 12284, 19205, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 4781, 7298, 625, 607, 96951, 54678, 236764, 4226, 8546, 236764, 532, 51854, 236764, 840, 564, 1461, 531, 1386, 2889, 564, 236858, 236757, 711, 9724, 1027, 24636, 105785, 236761, 2900, 659, 506, 6672, 34405, 8546, 573, 1118, 1777, 528, 1607, 9576, 529, 13251, 236881, 564, 1461, 531, 11594, 1041, 23789, 657, 506, 2197, 91624, 236888, 106, 107, 105, 4368, 107, 20418, 2934, 236888, 43899, 1118, 1777, 34405, 8546, 9729, 29830, 3418, 13251, 236858, 236751, 9576, 237028, 8472, 236858, 236751, 1217, 531, 64460, 822, 2197, 91624, 607, 24636, 33466, 236787, 108, 10354, 236743, 245191, 5213, 98472, 667, 64127, 166977, 66515, 107, 236772, 5213, 36043, 13251, 568, 85226, 4085, 236764, 31250, 569, 32577, 62902, 236787, 138, 107, 138, 240732, 5213, 1659, 734, 2762, 1284, 1018, 568, 155515, 2551, 29042, 637, 13080, 236768, 900, 5213, 236745, 731, 5102, 1018, 568, 47554, 133554, 34267, 236768, 138, 107, 138, 240732, 5213, 7670, 30859, 32892, 1018, 653, 5213, 5025, 165536, 1018, 138, 107, 138, 240732, 808, 83738, 32250, 63508, 9504, 8546, 236764, 54678, 236764, 26677, 236764, 135616, 236764, 532, 32159, 236761, 108, 236772, 5213, 236806, 143204, 66515, 138, 107, 138, 240732, 5213, 29984, 198085, 6895, 1018, 568, 236746, 86322, 29038, 236764, 3742, 5756, 236768, 138, 107, 138, 240732, 5213, 236773, 44144, 569, 137974, 39130, 1018, 568, 4671, 232371, 236764, 3996, 71800, 236768, 138, 107, 138, 240732, 5213, 236935, 1303, 236748, 66389, 1018, 568, 8162, 38829, 5756, 13840, 236768, 573, 9728, 1583, 236761, 108, 236772, 5213, 236863, 17037, 1364, 66515, 138, 107, 138, 240732, 5213, 236773, 44144, 36709, 1018, 568, 236745, 26397, 13703, 236772, 5140, 236764, 177219, 532, 7804, 236768, 138, 107, 138, 240732, 562, 143996, 529, 5213, 906, 841, 1018, 568, 158333, 21049, 9728, 236768, 573, 75486, 236761, 138, 107, 138, 240732, 808, 90981, 33481, 607, 26677, 532, 135616, 22429, 108, 236772, 5213, 236773, 1049, 27946, 66515, 138, 107, 138, 240732, 5213, 28902, 26677, 112931, 1018, 900, 5213, 40323, 135616, 1018, 138, 107, 138, 240732, 562, 38088, 529, 5213, 574, 755, 569, 65124, 3425, 16510, 1018, 573, 5387, 236761, 138, 107, 138, 240732, 60217, 617, 840, 27323, 236762, 237028, 1904, 13840, 653, 51854, 236761, 108, 236772, 5213, 72982, 13251, 66515, 138, 107, 138, 240732, 5213, 3138, 1192, 7156, 59996, 1018, 568, 90486, 529, 54678, 236768, 138, 107, 138, 240732, 5213, 18721, 841, 1018, 653, 5213, 6601, 236748, 66389, 1018, 573, 496, 5427, 9530, 236761, 138, 107, 138, 240732, 17983, 32159, 532, 26677, 573, 7002, 236761, 108, 10354, 204906, 5213, 33071, 91624, 1255, 42272, 66515, 138, 107, 3974, 872, 496, 5213, 236759, 64127, 3029, 1018, 607, 236787, 138, 107, 236772, 9504, 8546, 568, 46910, 586, 48661, 779, 54678, 236764, 26677, 112931, 236764, 135616, 236764, 32159, 138, 107, 236772, 177208, 122237, 568, 1192, 236768, 900, 71800, 36709, 568, 10671, 236768, 138, 107, 236772, 971, 734, 2762, 1284, 236764, 219470, 5102, 236764, 51854, 32892, 138, 107, 236772, 158046, 236748, 66389, 532, 99369, 568, 31162, 840, 15678, 236772, 942, 3444, 15520, 138, 108, 2094, 19518, 12286, 38065, 910, 52912, 1133, 1847, 26135, 808, 1163, 551, 9802, 236829, 236888, 5180, 1873, 105785, 568, 236755, 129113, 236764, 4226, 8546, 236764, 51854, 236768, 659, 3016, 7075, 236772, 498, 237028, 4662, 1164, 236743, 236770, 236964, 236778, 10969, 52287, 795, 1386, 625, 4481, 2803, 236761, 103453, 138, 108, 236829, 46038, 786, 531, 4024, 496, 3823, 15028, 573, 31412, 71800, 36709, 653, 137974, 569, 65124, 3425, 16510, 236881, 236829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 65122, 607, 496, 40718, 2881, 573, 1041, 2621, 6218, 236789, 236751, 43285, 7880, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 974, 506, 8781, 4889, 573, 506, 15345, 623, 12921, 110444, 236770, 236778, 236800, 236775, 531, 16807, 910, 9998, 86236, 236761, 9920, 692, 735, 600, 236764, 564, 1202, 506, 15154, 3136, 9255, 1699, 910, 6524, 236743, 236770, 236771, 12714, 236789, 19455, 236761, 13472, 236764, 2721, 580, 1800, 506, 8781, 1262, 532, 15154, 3136, 236764, 564, 1461, 614, 10967, 529, 910, 3435, 17785, 531, 6054, 768, 910, 6224, 8913, 607, 1023, 7009, 7715, 236761, 1637, 1027, 2918, 7623, 614, 3165, 1003, 506, 15345, 1646, 19070, 236764, 5091, 2426, 768, 623, 12921, 236779, 51995, 831, 236779, 236819, 236819, 236775, 2473, 577, 506, 4338, 6060, 5205, 532, 23475, 506, 1657, 607, 600, 886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 12921, 110444, 236770, 236778, 236800, 827, 623, 76647, 1083, 236743, 236828, 236778, 236800, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236770, 236828, 236819, 236764, 623, 36627, 1083, 623, 188841, 15646, 11211, 83979, 6369, 11221, 1109, 10624, 4266, 528, 2523, 2621, 833, 16374, 1109, 22529, 573, 13859, 45174, 827, 623, 6725, 236779, 56652, 1083, 236743, 236770, 236812, 236778, 236810, 236771, 236771, 236771, 236764, 623, 10540, 236779, 2861, 1083, 236743, 236778, 236800, 236832, 236764, 623, 11622, 236779, 17138, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236770, 236770, 236772, 236771, 236832, 827, 623, 92506, 236779, 4720, 1083, 236743, 236825, 236761, 236828, 236764, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236812, 236772, 236800, 236810, 827, 623, 24385, 236779, 52447, 1083, 623, 236810, 236832, 236908, 8256, 236764, 236743, 236812, 236800, 236908, 8937, 827, 623, 3991, 236779, 21853, 1083, 11058, 3118, 827, 623, 5635, 827, 623, 8242, 152254, 623, 3955, 236779, 29263, 1083, 3714, 28128, 236779, 13084, 236779, 721, 236779, 10540, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 28128, 236779, 26329, 236779, 721, 236779, 10540, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 28128, 236779, 158076, 236779, 721, 236779, 10540, 1083, 236743, 236828, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 12921, 110444, 236770, 236778, 236800, 827, 623, 92506, 236779, 4720, 1083, 623, 236832, 236761, 236778, 70887, 623, 28128, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 28128, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236828, 236810, 236771, 236764, 623, 28128, 236779, 158076, 236779, 721, 236779, 3274, 1083, 236743, 236812, 236778, 236771, 236764, 623, 22487, 236779, 79082, 8562, 1083, 236743, 236770, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 12921, 110444, 236770, 236778, 236800, 827, 623, 51183, 236779, 71832, 236779, 220929, 1083, 6610, 236812, 236764, 236778, 236771, 236771, 753, 609, 236825, 236764, 236828, 236771, 236771, 827, 623, 27617, 1083, 623, 38556, 827, 623, 92506, 236779, 4720, 1083, 623, 236828, 236761, 236778, 70887, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236764, 623, 3955, 236779, 2084, 1083, 623, 67289, 4993, 833, 31100, 827, 623, 3419, 536, 1854, 236779, 30182, 1083, 11058, 19995, 33000, 827, 623, 76562, 3055, 827, 623, 2806, 69200, 7009, 14255, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13611, 3671, 573, 5213, 12921, 110444, 236770, 236778, 236800, 66515, 108, 7243, 108, 10354, 5213, 16679, 20303, 1018, 107, 236772, 5213, 27447, 616, 66515, 236743, 236828, 236778, 236761, 236800, 236855, 568, 6201, 524, 531, 236743, 236770, 236810, 236778, 236855, 2721, 580, 3877, 15067, 236768, 107, 236772, 5213, 236797, 7896, 66515, 28553, 4993, 833, 31100, 568, 10774, 2621, 236764, 16374, 236768, 107, 236772, 5213, 40282, 1812, 6642, 50376, 66515, 107, 138, 236772, 5213, 21035, 66515, 236743, 236778, 236812, 236772, 236800, 236810, 568, 6102, 46144, 236768, 107, 138, 236772, 5213, 41022, 66515, 236743, 236810, 236832, 236908, 8256, 236764, 236743, 236812, 236800, 236908, 8937, 107, 138, 236772, 5213, 8534, 92536, 66515, 3640, 4184, 236764, 7203, 236764, 3640, 15305, 107, 236772, 5213, 4795, 116589, 66515, 107, 138, 236772, 236743, 236778, 236800, 236832, 2558, 10103, 107, 138, 236772, 84109, 236761, 236743, 236812, 236810, 236855, 8208, 236764, 236743, 236770, 236764, 236778, 236771, 236771, 8968, 236764, 236743, 236828, 236810, 236771, 12085, 810, 2948, 108, 7243, 108, 10354, 5213, 227187, 25870, 1018, 107, 236772, 5213, 22304, 774, 25870, 66515, 236743, 236832, 236761, 236778, 236908, 568, 5140, 580, 6524, 236743, 236770, 236771, 12714, 236768, 107, 236772, 5213, 52277, 116589, 66515, 107, 138, 236772, 84109, 236761, 236743, 236770, 236810, 236761, 236778, 236855, 15975, 236764, 236743, 236770, 236764, 236828, 236810, 236771, 8968, 236764, 236743, 236812, 236778, 236771, 12085, 810, 1868, 107, 236772, 5213, 9008, 42841, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 108, 7243, 108, 10354, 5213, 234755, 79645, 1018, 107, 236772, 5213, 96579, 30521, 66515, 609, 236812, 236764, 236778, 236771, 236771, 753, 609, 236825, 236764, 236828, 236771, 236771, 23058, 107, 236772, 5213, 10505, 536, 1854, 49174, 66515, 107, 138, 236772, 18354, 33000, 107, 138, 236772, 40718, 60977, 9642, 107, 138, 236772, 110370, 7009, 107, 236772, 5213, 227187, 236772, 154902, 26608, 66515, 236743, 236828, 236761, 236778, 236908, 15154, 3136, 568, 6201, 524, 31097, 7003, 236768, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 818, 2881, 100146, 1388, 607, 822, 2621, 6218, 236789, 236751, 43285, 7675, 236787, 107, 236772, 136994, 236743, 236778, 236812, 236772, 236800, 236810, 3911, 2299, 568, 19609, 7391, 573, 6369, 3019, 236768, 107, 236772, 27717, 15154, 19455, 3600, 1494, 3004, 25828, 107, 236772, 90137, 14287, 10128, 5453, 236772, 43289, 13859, 5384, 568, 96847, 742, 2721, 580, 11104, 236768, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 13859, 25521, 568, 236744, 236761, 236759, 1126, 31686, 12714, 236764, 37361, 10471, 52204, 236768, 1699, 672, 1262, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 65122, 607, 496, 40718, 2881, 573, 1041, 2621, 6218, 236789, 236751, 43285, 7880, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 974, 506, 8781, 4889, 573, 506, 15345, 623, 12921, 110444, 236770, 236778, 236800, 236775, 531, 16807, 910, 9998, 86236, 236761, 9920, 692, 735, 600, 236764, 564, 1202, 506, 15154, 3136, 9255, 1699, 910, 6524, 236743, 236770, 236771, 12714, 236789, 19455, 236761, 13472, 236764, 2721, 580, 1800, 506, 8781, 1262, 532, 15154, 3136, 236764, 564, 1461, 614, 10967, 529, 910, 3435, 17785, 531, 6054, 768, 910, 6224, 8913, 607, 1023, 7009, 7715, 236761, 1637, 1027, 2918, 7623, 614, 3165, 1003, 506, 15345, 1646, 19070, 236764, 5091, 2426, 768, 623, 12921, 236779, 51995, 831, 236779, 236819, 236819, 236775, 2473, 577, 506, 4338, 6060, 5205, 532, 23475, 506, 1657, 607, 600, 886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 12921, 110444, 236770, 236778, 236800, 827, 623, 76647, 1083, 236743, 236828, 236778, 236800, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236770, 236828, 236819, 236764, 623, 36627, 1083, 623, 188841, 15646, 11211, 83979, 6369, 11221, 1109, 10624, 4266, 528, 2523, 2621, 833, 16374, 1109, 22529, 573, 13859, 45174, 827, 623, 6725, 236779, 56652, 1083, 236743, 236770, 236812, 236778, 236810, 236771, 236771, 236771, 236764, 623, 10540, 236779, 2861, 1083, 236743, 236778, 236800, 236832, 236764, 623, 11622, 236779, 17138, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236770, 236770, 236772, 236771, 236832, 827, 623, 92506, 236779, 4720, 1083, 236743, 236825, 236761, 236828, 236764, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236812, 236772, 236800, 236810, 827, 623, 24385, 236779, 52447, 1083, 623, 236810, 236832, 236908, 8256, 236764, 236743, 236812, 236800, 236908, 8937, 827, 623, 3991, 236779, 21853, 1083, 11058, 3118, 827, 623, 5635, 827, 623, 8242, 152254, 623, 3955, 236779, 29263, 1083, 3714, 28128, 236779, 13084, 236779, 721, 236779, 10540, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 28128, 236779, 26329, 236779, 721, 236779, 10540, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 28128, 236779, 158076, 236779, 721, 236779, 10540, 1083, 236743, 236828, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 12921, 110444, 236770, 236778, 236800, 827, 623, 92506, 236779, 4720, 1083, 623, 236832, 236761, 236778, 70887, 623, 28128, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 28128, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236828, 236810, 236771, 236764, 623, 28128, 236779, 158076, 236779, 721, 236779, 3274, 1083, 236743, 236812, 236778, 236771, 236764, 623, 22487, 236779, 79082, 8562, 1083, 236743, 236770, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 12921, 110444, 236770, 236778, 236800, 827, 623, 51183, 236779, 71832, 236779, 220929, 1083, 6610, 236812, 236764, 236778, 236771, 236771, 753, 609, 236825, 236764, 236828, 236771, 236771, 827, 623, 27617, 1083, 623, 38556, 827, 623, 92506, 236779, 4720, 1083, 623, 236828, 236761, 236778, 70887, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236764, 623, 3955, 236779, 2084, 1083, 623, 67289, 4993, 833, 31100, 827, 623, 3419, 536, 1854, 236779, 30182, 1083, 11058, 19995, 33000, 827, 623, 76562, 3055, 827, 623, 2806, 69200, 7009, 14255, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13611, 3671, 573, 5213, 12921, 110444, 236770, 236778, 236800, 66515, 108, 7243, 108, 10354, 5213, 16679, 20303, 1018, 107, 236772, 5213, 27447, 616, 66515, 236743, 236828, 236778, 236761, 236800, 236855, 568, 6201, 524, 531, 236743, 236770, 236810, 236778, 236855, 2721, 580, 3877, 15067, 236768, 107, 236772, 5213, 236797, 7896, 66515, 28553, 4993, 833, 31100, 568, 10774, 2621, 236764, 16374, 236768, 107, 236772, 5213, 40282, 1812, 6642, 50376, 66515, 107, 138, 236772, 5213, 21035, 66515, 236743, 236778, 236812, 236772, 236800, 236810, 568, 6102, 46144, 236768, 107, 138, 236772, 5213, 41022, 66515, 236743, 236810, 236832, 236908, 8256, 236764, 236743, 236812, 236800, 236908, 8937, 107, 138, 236772, 5213, 8534, 92536, 66515, 3640, 4184, 236764, 7203, 236764, 3640, 15305, 107, 236772, 5213, 4795, 116589, 66515, 107, 138, 236772, 236743, 236778, 236800, 236832, 2558, 10103, 107, 138, 236772, 84109, 236761, 236743, 236812, 236810, 236855, 8208, 236764, 236743, 236770, 236764, 236778, 236771, 236771, 8968, 236764, 236743, 236828, 236810, 236771, 12085, 810, 2948, 108, 7243, 108, 10354, 5213, 227187, 25870, 1018, 107, 236772, 5213, 22304, 774, 25870, 66515, 236743, 236832, 236761, 236778, 236908, 568, 5140, 580, 6524, 236743, 236770, 236771, 12714, 236768, 107, 236772, 5213, 52277, 116589, 66515, 107, 138, 236772, 84109, 236761, 236743, 236770, 236810, 236761, 236778, 236855, 15975, 236764, 236743, 236770, 236764, 236828, 236810, 236771, 8968, 236764, 236743, 236812, 236778, 236771, 12085, 810, 1868, 107, 236772, 5213, 9008, 42841, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 108, 7243, 108, 10354, 5213, 234755, 79645, 1018, 107, 236772, 5213, 96579, 30521, 66515, 609, 236812, 236764, 236778, 236771, 236771, 753, 609, 236825, 236764, 236828, 236771, 236771, 23058, 107, 236772, 5213, 10505, 536, 1854, 49174, 66515, 107, 138, 236772, 18354, 33000, 107, 138, 236772, 40718, 60977, 9642, 107, 138, 236772, 110370, 7009, 107, 236772, 5213, 227187, 236772, 154902, 26608, 66515, 236743, 236828, 236761, 236778, 236908, 15154, 3136, 568, 6201, 524, 31097, 7003, 236768, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 818, 2881, 100146, 1388, 607, 822, 2621, 6218, 236789, 236751, 43285, 7675, 236787, 107, 236772, 136994, 236743, 236778, 236812, 236772, 236800, 236810, 3911, 2299, 568, 19609, 7391, 573, 6369, 3019, 236768, 107, 236772, 27717, 15154, 19455, 3600, 1494, 3004, 25828, 107, 236772, 90137, 14287, 10128, 5453, 236772, 43289, 13859, 5384, 568, 96847, 742, 2721, 580, 11104, 236768, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 13859, 25521, 568, 236744, 236761, 236759, 1126, 31686, 12714, 236764, 37361, 10471, 52204, 236768, 1699, 672, 1262, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 573, 4803, 5052, 14400, 2794, 4596, 531, 496, 15690, 236789, 236751, 37247, 7359, 236761, 3199, 611, 12270, 784, 1873, 14400, 2794, 699, 565, 25830, 236761, 12561, 531, 1502, 1023, 47688, 3671, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 553, 3203, 2794, 1083, 78493, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 827, 623, 3250, 1083, 623, 89740, 195315, 130550, 2109, 528, 37247, 15735, 172440, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 236776, 11345, 22941, 47688, 568, 20741, 4033, 236743, 236819, 236761, 236828, 236768, 528, 4913, 37247, 6538, 2033, 38991, 5862, 10883, 3393, 14860, 236761, 185321, 7359, 3204, 4681, 699, 111492, 1684, 532, 895, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236778, 827, 623, 3250, 1083, 623, 38783, 175011, 528, 19380, 37247, 140812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 1514, 73578, 6478, 18256, 528, 8459, 37247, 4022, 21615, 17630, 62362, 2802, 531, 11734, 3797, 236761, 59948, 2487, 699, 111492, 1491, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236810, 827, 623, 3250, 1083, 623, 140403, 130550, 2109, 528, 11669, 37247, 59472, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 22472, 706, 236772, 1340, 236772, 8114, 47688, 528, 6634, 61880, 33075, 1451, 27282, 6749, 2065, 236761, 156416, 14984, 3847, 573, 22327, 3797, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 827, 623, 3250, 1083, 623, 902, 45505, 19367, 209703, 528, 43499, 37247, 751, 3315, 2357, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 48873, 29049, 7507, 37247, 193965, 607, 2651, 90841, 28150, 236761, 157163, 5135, 5773, 528, 6877, 1699, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236819, 827, 623, 3250, 1083, 623, 162526, 42065, 4273, 1348, 528, 40088, 16218, 89963, 13000, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 60547, 41480, 528, 31170, 37247, 3797, 5862, 111045, 529, 4563, 1262, 236761, 103663, 607, 236061, 8266, 10325, 573, 26551, 13448, 1781, 104960, 623, 3906, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 236743, 236810, 1346, 4803, 565, 25830, 14400, 2794, 4596, 531, 37247, 7359, 618, 529, 5261, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 108, 236770, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 1018, 568, 9585, 236743, 236770, 236810, 236768, 138, 107, 139, 236829, 89740, 195315, 130550, 2109, 528, 37247, 15735, 172440, 236829, 138, 107, 139, 20741, 4033, 236743, 236819, 236761, 236828, 11345, 22941, 47688, 10678, 10883, 3393, 14860, 528, 6538, 2033, 38991, 699, 111492, 1684, 236786, 236874, 236761, 108, 236778, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236778, 1018, 568, 9585, 236743, 236770, 236771, 236768, 138, 107, 139, 236829, 38783, 175011, 528, 19380, 37247, 140812, 236829, 138, 107, 139, 236847, 187407, 528, 8459, 4022, 21615, 17630, 62362, 2802, 531, 11734, 3797, 568, 10517, 2487, 769, 108, 236800, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236810, 1018, 568, 9585, 236743, 236810, 236768, 138, 107, 139, 236829, 140403, 130550, 2109, 528, 11669, 37247, 59472, 236829, 138, 107, 139, 22472, 706, 236772, 1340, 236772, 8114, 36163, 528, 6634, 61880, 33075, 1451, 27282, 6749, 2065, 6675, 236761, 108, 236812, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 1018, 568, 24631, 236743, 236778, 236828, 236768, 138, 107, 139, 236829, 902, 45505, 19367, 209703, 528, 43499, 37247, 751, 3315, 2357, 236829, 138, 107, 139, 33231, 90841, 28150, 528, 37247, 193965, 22074, 58997, 528, 506, 6877, 568, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 769, 108, 236810, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236819, 1018, 568, 24631, 236743, 236778, 236771, 236768, 138, 107, 139, 236829, 162526, 42065, 4273, 1348, 528, 40088, 16218, 89963, 236829, 138, 107, 139, 60547, 41480, 528, 31170, 37247, 3797, 5862, 111045, 529, 4563, 1262, 236761, 108, 1018, 35434, 30235, 91330, 53121, 138, 107, 236772, 22282, 77372, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 1018, 568, 39633, 630, 4660, 47688, 236768, 532, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 1018, 568, 76512, 58997, 236768, 138, 107, 236772, 7179, 15690, 236789, 236751, 7359, 2342, 29049, 236786, 11245, 6950, 528, 14400, 2794, 138, 107, 236772, 11669, 236786, 71758, 37247, 70584, 568, 236770, 236770, 236810, 236786, 236770, 236778, 236778, 236768, 1149, 10128, 1494, 236772, 37716, 14989, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 8330, 4889, 573, 1027, 3530, 36639, 236881, 106, 107, 105, 2364, 107, 8574, 611, 6778, 580, 506, 8330, 4889, 573, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 1018, 532, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 125546, 10916, 506, 9034, 29049, 236786, 11245, 236881, 564, 1202, 531, 4071, 236772, 30449, 1239, 2342, 506, 15690, 236858, 236751, 37247, 18241, 568, 32306, 2033, 38991, 532, 10002, 193965, 769, 1637, 28316, 4889, 10050, 236858, 236745, 528, 506, 14400, 2794, 236764, 740, 611, 3600, 3927, 3755, 531, 8701, 16590, 7359, 528, 1237, 34438, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 10212, 236779, 1201, 1083, 623, 35153, 9435, 19839, 1255, 236743, 236778, 236771, 236771, 236771, 827, 623, 23717, 1083, 623, 85692, 58106, 29287, 827, 623, 4368, 236779, 5640, 1083, 623, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 827, 623, 236766, 100507, 8027, 1083, 11058, 9839, 22941, 528, 59550, 566, 236778, 236761, 236770, 827, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 14255, 623, 18624, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 23179, 3714, 10212, 236779, 1201, 1083, 623, 109799, 236855, 223933, 1684, 236819, 43687, 827, 623, 23717, 1083, 623, 154546, 236747, 109799, 23566, 827, 623, 4368, 236779, 5640, 1083, 623, 15494, 236772, 236917, 236819, 236772, 236778, 236771, 236778, 236800, 827, 623, 236766, 100507, 8027, 1083, 11058, 40342, 3393, 14860, 4323, 9299, 31466, 827, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 14255, 623, 18624, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 15494, 236772, 236917, 236819, 23179, 3714, 10212, 236779, 1201, 1083, 623, 89024, 56827, 22324, 827, 623, 23717, 1083, 623, 8233, 57355, 29327, 827, 623, 4368, 236779, 5640, 1083, 623, 6510, 236772, 59141, 236772, 236810, 236810, 236771, 827, 623, 236766, 100507, 8027, 1083, 11058, 9839, 22941, 528, 99057, 23370, 12804, 14255, 623, 18624, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 6510, 236772, 59141, 236772, 236810, 236810, 236771, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 3456, 1083, 623, 32306, 2033, 13372, 11345, 22941, 47688, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 15744, 8330, 4889, 532, 3927, 15136, 236787, 108, 1018, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 568, 35153, 172440, 1473, 1018, 138, 107, 236772, 5213, 35153, 9435, 19839, 1255, 236743, 236778, 236771, 236771, 236771, 1018, 138, 107, 138, 95204, 236787, 57843, 58106, 29287, 138, 107, 138, 4968, 236787, 17700, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 138, 107, 138, 236847, 187407, 236787, 47785, 22941, 528, 59550, 566, 236778, 236761, 236770, 138, 107, 138, 236840, 17140, 10297, 5457, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 236768, 138, 108, 1018, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 568, 109799, 751, 3315, 2357, 1473, 1018, 138, 107, 236772, 5213, 109799, 236855, 223933, 1684, 236819, 43687, 1018, 138, 107, 138, 95204, 236787, 128177, 109799, 23566, 138, 107, 138, 4968, 236787, 8005, 236773, 236772, 236917, 236819, 236772, 236778, 236771, 236778, 236800, 138, 107, 138, 236847, 187407, 236787, 39141, 3393, 14860, 4323, 9299, 31466, 138, 107, 138, 236840, 17140, 10297, 5457, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 15494, 236772, 236917, 236819, 236768, 138, 108, 1018, 27779, 145918, 699, 12808, 53121, 138, 107, 236772, 5213, 89024, 56827, 22324, 1018, 568, 104884, 4241, 573, 3361, 70584, 236768, 138, 107, 138, 95204, 236787, 5674, 57355, 29327, 138, 107, 138, 4968, 236787, 10707, 236772, 59141, 236772, 236810, 236810, 236771, 138, 108, 1018, 8980, 91330, 53121, 138, 107, 236770, 236761, 1701, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 66515, 138, 107, 139, 236772, 30234, 236787, 211661, 85692, 58106, 29287, 236775, 8005, 623, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 236775, 8005, 623, 12672, 22941, 37247, 59550, 34841, 138, 107, 139, 236772, 6890, 870, 236780, 25830, 236789, 236751, 156928, 19823, 2794, 5457, 2574, 1411, 2769, 236761, 236755, 5287, 236761, 12561, 236786, 71758, 236772, 8607, 236772, 53338, 236768, 573, 28316, 236772, 15396, 36595, 138, 108, 236778, 236761, 1701, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 66515, 138, 107, 139, 236772, 30234, 236787, 211661, 154546, 236747, 109799, 23566, 236775, 8005, 623, 15494, 236772, 236917, 236819, 236775, 8005, 623, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 34841, 138, 107, 139, 236772, 7179, 870, 236797, 15513, 23260, 5457, 2574, 1411, 236749, 21232, 236761, 95311, 236761, 12561, 31004, 573, 2651, 90841, 80159, 81930, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 12713, 236772, 30449, 1239, 4681, 607, 506, 15690, 236789, 236751, 18241, 138, 107, 236772, 6890, 506, 7948, 9851, 531, 9128, 59550, 14273, 532, 38755, 57035, 847, 138, 107, 236772, 21284, 611, 1133, 786, 531, 1385, 872, 506, 646, 15513, 4889, 573, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1385, 872, 506, 646, 15513, 4889, 573, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 236761, 10352, 506, 566, 236770, 31466, 607, 18774, 573, 672, 167090, 31744, 531, 33205, 8330, 72320, 1003, 506, 2651, 90841, 80159, 47688, 528, 128177, 109799, 23566, 7359, 236761, 1174, 795, 1601, 775, 3050, 38755, 24519, 532, 45759, 11298, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 159331, 1083, 78493, 547, 1083, 623, 78277, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 236766, 187407, 1083, 3714, 236755, 560, 236779, 547, 1083, 623, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 827, 623, 7777, 1083, 623, 33231, 90841, 172016, 28150, 528, 128177, 109799, 23566, 59550, 2174, 81013, 531, 84461, 79691, 8827, 10498, 623, 127243, 1083, 623, 64266, 827, 623, 89071, 1083, 11058, 2574, 1411, 236749, 21232, 236761, 95311, 236761, 12561, 236786, 206170, 236749, 236786, 16988, 236786, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 827, 623, 2574, 1411, 155034, 750, 14170, 236761, 854, 236786, 11205, 236772, 553, 176680, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 152254, 623, 17173, 46461, 236779, 83708, 1229, 1083, 3714, 36655, 236779, 8322, 1083, 623, 149433, 827, 623, 36655, 236779, 109719, 1083, 623, 86794, 827, 623, 29568, 166794, 236779, 15979, 1083, 623, 53212, 827, 623, 2364, 236779, 70885, 1083, 623, 53212, 23179, 623, 2908, 3981, 1083, 3714, 62353, 236779, 2064, 1083, 623, 64786, 531, 59550, 3567, 236743, 236812, 236761, 236778, 236761, 236770, 653, 5510, 79691, 189908, 19126, 827, 623, 2025, 200929, 1083, 11058, 57874, 3707, 51761, 827, 623, 52804, 573, 66160, 79691, 110209, 9935, 1935, 1807, 1604, 623, 21052, 1083, 3714, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236778, 236778, 236953, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7212, 236770, 1083, 623, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 827, 623, 7212, 236778, 1083, 623, 2451, 827, 623, 2289, 236779, 8572, 1083, 623, 712, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8330, 25890, 699, 506, 566, 236770, 31466, 573, 5213, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 1018, 568, 154546, 236747, 109799, 23566, 47688, 1473, 108, 7243, 108, 10354, 5213, 236847, 187407, 41959, 1018, 107, 236772, 5213, 166511, 5853, 66515, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 138, 107, 236772, 5213, 9770, 66515, 13573, 90841, 172016, 28150, 528, 128177, 109799, 23566, 59550, 2174, 81013, 531, 84461, 79691, 8827, 236761, 138, 107, 236772, 5213, 122726, 66515, 50907, 138, 107, 236772, 5213, 22776, 66515, 138, 107, 138, 236772, 870, 236797, 15513, 52586, 11338, 5457, 2574, 1411, 236749, 21232, 236761, 95311, 236761, 12561, 236786, 206170, 236749, 236786, 16988, 236786, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 236768, 138, 107, 138, 236772, 870, 95204, 31379, 5457, 2574, 1411, 155034, 750, 14170, 236761, 854, 236786, 11205, 236772, 553, 176680, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236768, 138, 108, 7243, 108, 10354, 5213, 20647, 46461, 49087, 1018, 107, 236772, 5213, 51452, 8719, 66515, 150469, 138, 107, 236772, 5213, 51452, 100568, 66515, 59506, 138, 107, 236772, 5213, 40172, 166794, 31026, 66515, 96869, 138, 107, 236772, 5213, 2887, 66729, 66515, 96869, 138, 108, 1018, 20647, 236748, 5135, 13739, 66515, 138, 107, 236770, 236761, 7058, 20026, 139371, 79691, 236772, 88022, 8827, 531, 236786, 2543, 506, 4744, 236761, 138, 107, 236778, 236761, 65284, 2651, 90841, 28150, 568, 6990, 2147, 13272, 236768, 531, 84461, 8827, 236761, 138, 107, 236800, 236761, 153938, 2802, 531, 13719, 1262, 568, 236744, 236761, 236759, 1126, 9299, 13272, 236764, 2430, 28150, 769, 138, 108, 7243, 108, 10354, 5213, 40348, 3981, 62382, 1018, 107, 236772, 5213, 75652, 10659, 66515, 138, 107, 138, 64786, 531, 59550, 3567, 5213, 236812, 236761, 236778, 236761, 236770, 1018, 653, 5510, 506, 5213, 99280, 189908, 19126, 1018, 699, 506, 28316, 236761, 138, 107, 236772, 5213, 9004, 200929, 66515, 138, 107, 138, 236772, 108074, 5213, 20746, 51761, 1018, 531, 38036, 21040, 7359, 236761, 138, 107, 138, 236772, 26295, 573, 5213, 508, 18031, 806, 79691, 110209, 9935, 1018, 1699, 205526, 236786, 37094, 6366, 236761, 138, 108, 7243, 108, 10354, 5213, 1479, 113458, 531, 14034, 1180, 236858, 236751, 52761, 1018, 107, 236772, 5213, 211760, 59472, 66515, 138, 107, 138, 236772, 43499, 236855, 223933, 1684, 236819, 43687, 568, 15494, 236772, 236917, 236819, 236772, 236778, 236771, 236778, 236800, 236768, 138, 107, 138, 236772, 7129, 1032, 128177, 109799, 23566, 7359, 4710, 59550, 655, 236743, 236812, 236761, 236778, 236761, 236770, 138, 107, 236772, 5213, 4396, 50228, 66515, 138, 107, 138, 236772, 7179, 59550, 14273, 528, 506, 15690, 236789, 236751, 18241, 236761, 138, 107, 138, 236772, 22282, 77372, 185813, 653, 3707, 23049, 573, 723, 60046, 7359, 236761, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 11696, 872, 506, 28316, 36639, 573, 3530, 185813, 11808, 236881, 138, 107, 236778, 236761, 12713, 236772, 30449, 506, 38755, 24519, 607, 506, 15690, 236858, 236751, 3707, 25716, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 573, 4803, 5052, 14400, 2794, 4596, 531, 496, 15690, 236789, 236751, 37247, 7359, 236761, 3199, 611, 12270, 784, 1873, 14400, 2794, 699, 565, 25830, 236761, 12561, 531, 1502, 1023, 47688, 3671, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 553, 3203, 2794, 1083, 78493, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 827, 623, 3250, 1083, 623, 89740, 195315, 130550, 2109, 528, 37247, 15735, 172440, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 236776, 11345, 22941, 47688, 568, 20741, 4033, 236743, 236819, 236761, 236828, 236768, 528, 4913, 37247, 6538, 2033, 38991, 5862, 10883, 3393, 14860, 236761, 185321, 7359, 3204, 4681, 699, 111492, 1684, 532, 895, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236778, 827, 623, 3250, 1083, 623, 38783, 175011, 528, 19380, 37247, 140812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 1514, 73578, 6478, 18256, 528, 8459, 37247, 4022, 21615, 17630, 62362, 2802, 531, 11734, 3797, 236761, 59948, 2487, 699, 111492, 1491, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236810, 827, 623, 3250, 1083, 623, 140403, 130550, 2109, 528, 11669, 37247, 59472, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 22472, 706, 236772, 1340, 236772, 8114, 47688, 528, 6634, 61880, 33075, 1451, 27282, 6749, 2065, 236761, 156416, 14984, 3847, 573, 22327, 3797, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 827, 623, 3250, 1083, 623, 902, 45505, 19367, 209703, 528, 43499, 37247, 751, 3315, 2357, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 48873, 29049, 7507, 37247, 193965, 607, 2651, 90841, 28150, 236761, 157163, 5135, 5773, 528, 6877, 1699, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 221476, 3714, 547, 1083, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236819, 827, 623, 3250, 1083, 623, 162526, 42065, 4273, 1348, 528, 40088, 16218, 89963, 13000, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 60547, 41480, 528, 31170, 37247, 3797, 5862, 111045, 529, 4563, 1262, 236761, 103663, 607, 236061, 8266, 10325, 573, 26551, 13448, 1781, 104960, 623, 3906, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 236743, 236810, 1346, 4803, 565, 25830, 14400, 2794, 4596, 531, 37247, 7359, 618, 529, 5261, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 108, 236770, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 1018, 568, 9585, 236743, 236770, 236810, 236768, 138, 107, 139, 236829, 89740, 195315, 130550, 2109, 528, 37247, 15735, 172440, 236829, 138, 107, 139, 20741, 4033, 236743, 236819, 236761, 236828, 11345, 22941, 47688, 10678, 10883, 3393, 14860, 528, 6538, 2033, 38991, 699, 111492, 1684, 236786, 236874, 236761, 108, 236778, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236778, 1018, 568, 9585, 236743, 236770, 236771, 236768, 138, 107, 139, 236829, 38783, 175011, 528, 19380, 37247, 140812, 236829, 138, 107, 139, 236847, 187407, 528, 8459, 4022, 21615, 17630, 62362, 2802, 531, 11734, 3797, 568, 10517, 2487, 769, 108, 236800, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236810, 1018, 568, 9585, 236743, 236810, 236768, 138, 107, 139, 236829, 140403, 130550, 2109, 528, 11669, 37247, 59472, 236829, 138, 107, 139, 22472, 706, 236772, 1340, 236772, 8114, 36163, 528, 6634, 61880, 33075, 1451, 27282, 6749, 2065, 6675, 236761, 108, 236812, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 1018, 568, 24631, 236743, 236778, 236828, 236768, 138, 107, 139, 236829, 902, 45505, 19367, 209703, 528, 43499, 37247, 751, 3315, 2357, 236829, 138, 107, 139, 33231, 90841, 28150, 528, 37247, 193965, 22074, 58997, 528, 506, 6877, 568, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 769, 108, 236810, 236761, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236819, 1018, 568, 24631, 236743, 236778, 236771, 236768, 138, 107, 139, 236829, 162526, 42065, 4273, 1348, 528, 40088, 16218, 89963, 236829, 138, 107, 139, 60547, 41480, 528, 31170, 37247, 3797, 5862, 111045, 529, 4563, 1262, 236761, 108, 1018, 35434, 30235, 91330, 53121, 138, 107, 236772, 22282, 77372, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 1018, 568, 39633, 630, 4660, 47688, 236768, 532, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 1018, 568, 76512, 58997, 236768, 138, 107, 236772, 7179, 15690, 236789, 236751, 7359, 2342, 29049, 236786, 11245, 6950, 528, 14400, 2794, 138, 107, 236772, 11669, 236786, 71758, 37247, 70584, 568, 236770, 236770, 236810, 236786, 236770, 236778, 236778, 236768, 1149, 10128, 1494, 236772, 37716, 14989, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 8330, 4889, 573, 1027, 3530, 36639, 236881, 106, 107, 105, 2364, 107, 8574, 611, 6778, 580, 506, 8330, 4889, 573, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 1018, 532, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 125546, 10916, 506, 9034, 29049, 236786, 11245, 236881, 564, 1202, 531, 4071, 236772, 30449, 1239, 2342, 506, 15690, 236858, 236751, 37247, 18241, 568, 32306, 2033, 38991, 532, 10002, 193965, 769, 1637, 28316, 4889, 10050, 236858, 236745, 528, 506, 14400, 2794, 236764, 740, 611, 3600, 3927, 3755, 531, 8701, 16590, 7359, 528, 1237, 34438, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 10212, 236779, 1201, 1083, 623, 35153, 9435, 19839, 1255, 236743, 236778, 236771, 236771, 236771, 827, 623, 23717, 1083, 623, 85692, 58106, 29287, 827, 623, 4368, 236779, 5640, 1083, 623, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 827, 623, 236766, 100507, 8027, 1083, 11058, 9839, 22941, 528, 59550, 566, 236778, 236761, 236770, 827, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 14255, 623, 18624, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 23179, 3714, 10212, 236779, 1201, 1083, 623, 109799, 236855, 223933, 1684, 236819, 43687, 827, 623, 23717, 1083, 623, 154546, 236747, 109799, 23566, 827, 623, 4368, 236779, 5640, 1083, 623, 15494, 236772, 236917, 236819, 236772, 236778, 236771, 236778, 236800, 827, 623, 236766, 100507, 8027, 1083, 11058, 40342, 3393, 14860, 4323, 9299, 31466, 827, 623, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 14255, 623, 18624, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 15494, 236772, 236917, 236819, 23179, 3714, 10212, 236779, 1201, 1083, 623, 89024, 56827, 22324, 827, 623, 23717, 1083, 623, 8233, 57355, 29327, 827, 623, 4368, 236779, 5640, 1083, 623, 6510, 236772, 59141, 236772, 236810, 236810, 236771, 827, 623, 236766, 100507, 8027, 1083, 11058, 9839, 22941, 528, 99057, 23370, 12804, 14255, 623, 18624, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 6510, 236772, 59141, 236772, 236810, 236810, 236771, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 3456, 1083, 623, 32306, 2033, 13372, 11345, 22941, 47688, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 15744, 8330, 4889, 532, 3927, 15136, 236787, 108, 1018, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 568, 35153, 172440, 1473, 1018, 138, 107, 236772, 5213, 35153, 9435, 19839, 1255, 236743, 236778, 236771, 236771, 236771, 1018, 138, 107, 138, 95204, 236787, 57843, 58106, 29287, 138, 107, 138, 4968, 236787, 17700, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 138, 107, 138, 236847, 187407, 236787, 47785, 22941, 528, 59550, 566, 236778, 236761, 236770, 138, 107, 138, 236840, 17140, 10297, 5457, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 236768, 138, 108, 1018, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 568, 109799, 751, 3315, 2357, 1473, 1018, 138, 107, 236772, 5213, 109799, 236855, 223933, 1684, 236819, 43687, 1018, 138, 107, 138, 95204, 236787, 128177, 109799, 23566, 138, 107, 138, 4968, 236787, 8005, 236773, 236772, 236917, 236819, 236772, 236778, 236771, 236778, 236800, 138, 107, 138, 236847, 187407, 236787, 39141, 3393, 14860, 4323, 9299, 31466, 138, 107, 138, 236840, 17140, 10297, 5457, 2574, 1411, 117129, 3677, 236761, 854, 236786, 10212, 236786, 15494, 236772, 236917, 236819, 236768, 138, 108, 1018, 27779, 145918, 699, 12808, 53121, 138, 107, 236772, 5213, 89024, 56827, 22324, 1018, 568, 104884, 4241, 573, 3361, 70584, 236768, 138, 107, 138, 95204, 236787, 5674, 57355, 29327, 138, 107, 138, 4968, 236787, 10707, 236772, 59141, 236772, 236810, 236810, 236771, 138, 108, 1018, 8980, 91330, 53121, 138, 107, 236770, 236761, 1701, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236832, 66515, 138, 107, 139, 236772, 30234, 236787, 211661, 85692, 58106, 29287, 236775, 8005, 623, 12747, 236772, 227782, 236772, 236778, 236771, 236771, 236771, 236775, 8005, 623, 12672, 22941, 37247, 59550, 34841, 138, 107, 139, 236772, 6890, 870, 236780, 25830, 236789, 236751, 156928, 19823, 2794, 5457, 2574, 1411, 2769, 236761, 236755, 5287, 236761, 12561, 236786, 71758, 236772, 8607, 236772, 53338, 236768, 573, 28316, 236772, 15396, 36595, 138, 108, 236778, 236761, 1701, 5213, 236780, 25830, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236828, 66515, 138, 107, 139, 236772, 30234, 236787, 211661, 154546, 236747, 109799, 23566, 236775, 8005, 623, 15494, 236772, 236917, 236819, 236775, 8005, 623, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 34841, 138, 107, 139, 236772, 7179, 870, 236797, 15513, 23260, 5457, 2574, 1411, 236749, 21232, 236761, 95311, 236761, 12561, 31004, 573, 2651, 90841, 80159, 81930, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 12713, 236772, 30449, 1239, 4681, 607, 506, 15690, 236789, 236751, 18241, 138, 107, 236772, 6890, 506, 7948, 9851, 531, 9128, 59550, 14273, 532, 38755, 57035, 847, 138, 107, 236772, 21284, 611, 1133, 786, 531, 1385, 872, 506, 646, 15513, 4889, 573, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1385, 872, 506, 646, 15513, 4889, 573, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 236761, 10352, 506, 566, 236770, 31466, 607, 18774, 573, 672, 167090, 31744, 531, 33205, 8330, 72320, 1003, 506, 2651, 90841, 80159, 47688, 528, 128177, 109799, 23566, 7359, 236761, 1174, 795, 1601, 775, 3050, 38755, 24519, 532, 45759, 11298, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 159331, 1083, 78493, 547, 1083, 623, 78277, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 236766, 187407, 1083, 3714, 236755, 560, 236779, 547, 1083, 623, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 827, 623, 7777, 1083, 623, 33231, 90841, 172016, 28150, 528, 128177, 109799, 23566, 59550, 2174, 81013, 531, 84461, 79691, 8827, 10498, 623, 127243, 1083, 623, 64266, 827, 623, 89071, 1083, 11058, 2574, 1411, 236749, 21232, 236761, 95311, 236761, 12561, 236786, 206170, 236749, 236786, 16988, 236786, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 827, 623, 2574, 1411, 155034, 750, 14170, 236761, 854, 236786, 11205, 236772, 553, 176680, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 152254, 623, 17173, 46461, 236779, 83708, 1229, 1083, 3714, 36655, 236779, 8322, 1083, 623, 149433, 827, 623, 36655, 236779, 109719, 1083, 623, 86794, 827, 623, 29568, 166794, 236779, 15979, 1083, 623, 53212, 827, 623, 2364, 236779, 70885, 1083, 623, 53212, 23179, 623, 2908, 3981, 1083, 3714, 62353, 236779, 2064, 1083, 623, 64786, 531, 59550, 3567, 236743, 236812, 236761, 236778, 236761, 236770, 653, 5510, 79691, 189908, 19126, 827, 623, 2025, 200929, 1083, 11058, 57874, 3707, 51761, 827, 623, 52804, 573, 66160, 79691, 110209, 9935, 1935, 1807, 1604, 623, 21052, 1083, 3714, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236778, 236778, 236953, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7212, 236770, 1083, 623, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 827, 623, 7212, 236778, 1083, 623, 2451, 827, 623, 2289, 236779, 8572, 1083, 623, 712, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8330, 25890, 699, 506, 566, 236770, 31466, 573, 5213, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 1018, 568, 154546, 236747, 109799, 23566, 47688, 1473, 108, 7243, 108, 10354, 5213, 236847, 187407, 41959, 1018, 107, 236772, 5213, 166511, 5853, 66515, 167090, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 138, 107, 236772, 5213, 9770, 66515, 13573, 90841, 172016, 28150, 528, 128177, 109799, 23566, 59550, 2174, 81013, 531, 84461, 79691, 8827, 236761, 138, 107, 236772, 5213, 122726, 66515, 50907, 138, 107, 236772, 5213, 22776, 66515, 138, 107, 138, 236772, 870, 236797, 15513, 52586, 11338, 5457, 2574, 1411, 236749, 21232, 236761, 95311, 236761, 12561, 236786, 206170, 236749, 236786, 16988, 236786, 166511, 236772, 236778, 236771, 236778, 236812, 236772, 236770, 236819, 236828, 236832, 236778, 236768, 138, 107, 138, 236772, 870, 95204, 31379, 5457, 2574, 1411, 155034, 750, 14170, 236761, 854, 236786, 11205, 236772, 553, 176680, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236768, 138, 108, 7243, 108, 10354, 5213, 20647, 46461, 49087, 1018, 107, 236772, 5213, 51452, 8719, 66515, 150469, 138, 107, 236772, 5213, 51452, 100568, 66515, 59506, 138, 107, 236772, 5213, 40172, 166794, 31026, 66515, 96869, 138, 107, 236772, 5213, 2887, 66729, 66515, 96869, 138, 108, 1018, 20647, 236748, 5135, 13739, 66515, 138, 107, 236770, 236761, 7058, 20026, 139371, 79691, 236772, 88022, 8827, 531, 236786, 2543, 506, 4744, 236761, 138, 107, 236778, 236761, 65284, 2651, 90841, 28150, 568, 6990, 2147, 13272, 236768, 531, 84461, 8827, 236761, 138, 107, 236800, 236761, 153938, 2802, 531, 13719, 1262, 568, 236744, 236761, 236759, 1126, 9299, 13272, 236764, 2430, 28150, 769, 138, 108, 7243, 108, 10354, 5213, 40348, 3981, 62382, 1018, 107, 236772, 5213, 75652, 10659, 66515, 138, 107, 138, 64786, 531, 59550, 3567, 5213, 236812, 236761, 236778, 236761, 236770, 1018, 653, 5510, 506, 5213, 99280, 189908, 19126, 1018, 699, 506, 28316, 236761, 138, 107, 236772, 5213, 9004, 200929, 66515, 138, 107, 138, 236772, 108074, 5213, 20746, 51761, 1018, 531, 38036, 21040, 7359, 236761, 138, 107, 138, 236772, 26295, 573, 5213, 508, 18031, 806, 79691, 110209, 9935, 1018, 1699, 205526, 236786, 37094, 6366, 236761, 138, 108, 7243, 108, 10354, 5213, 1479, 113458, 531, 14034, 1180, 236858, 236751, 52761, 1018, 107, 236772, 5213, 211760, 59472, 66515, 138, 107, 138, 236772, 43499, 236855, 223933, 1684, 236819, 43687, 568, 15494, 236772, 236917, 236819, 236772, 236778, 236771, 236778, 236800, 236768, 138, 107, 138, 236772, 7129, 1032, 128177, 109799, 23566, 7359, 4710, 59550, 655, 236743, 236812, 236761, 236778, 236761, 236770, 138, 107, 236772, 5213, 4396, 50228, 66515, 138, 107, 138, 236772, 7179, 59550, 14273, 528, 506, 15690, 236789, 236751, 18241, 236761, 138, 107, 138, 236772, 22282, 77372, 185813, 653, 3707, 23049, 573, 723, 60046, 7359, 236761, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 11696, 872, 506, 28316, 36639, 573, 3530, 185813, 11808, 236881, 138, 107, 236778, 236761, 12713, 236772, 30449, 506, 38755, 24519, 607, 506, 15690, 236858, 236751, 3707, 25716, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 4940, 45855, 14993, 573, 1041, 8268, 2260, 5975, 5395, 672, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 55006, 528, 506, 8618, 607, 784, 822, 3710, 532, 25224, 711, 580, 822, 1852, 6611, 236793, 528, 784, 822, 4861, 27517, 20633, 236764, 532, 1293, 2863, 1982, 822, 16412, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 44027, 45855, 14993, 573, 822, 8268, 2260, 5975, 5395, 672, 2069, 236787, 108, 236813, 165996, 55006, 528, 506, 8618, 607, 784, 822, 3710, 532, 25224, 711, 580, 822, 1852, 6611, 236793, 528, 784, 822, 4861, 27517, 20633, 236764, 532, 1293, 2863, 1982, 822, 16412, 1781, 236829, 138, 107, 236813, 2192, 181694, 236743, 236800, 236787, 236810, 236772, 236825, 108, 12055, 672, 28834, 30463, 21475, 8699, 532, 16856, 573, 822, 22658, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 8574, 611, 1586, 506, 7132, 529, 623, 62145, 236775, 528, 672, 78923, 699, 5729, 16776, 236789, 236751, 808, 236811, 2015, 236829, 573, 1041, 2260, 5975, 8699, 236881, 138, 107, 71510, 218775, 236787, 564, 236789, 236757, 496, 880, 236764, 564, 236789, 236757, 496, 880, 236761, 564, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 236761, 564, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 1781, 236829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 62145, 827, 623, 27521, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 818, 3658, 623, 62145, 236775, 7412, 5213, 236778, 2782, 1018, 528, 506, 3847, 78923, 699, 808, 236811, 2015, 22429, 5715, 236789, 236751, 506, 7798, 1757, 573, 5577, 236787, 138, 107, 236813, 165996, 236777, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 236761, 564, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 1781, 236829, 108, 2094, 51881, 58811, 51580, 236858, 236751, 6082, 80125, 236764, 496, 2307, 7824, 528, 506, 1441, 236761, 18561, 672, 7351, 14838, 21475, 12309, 657, 822, 2260, 5975, 236888, 236743, 244878, 239794, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 9279, 506, 13822, 7548, 573, 496, 609, 236778, 236810, 236764, 236771, 236771, 236771, 1295, 10670, 657, 236743, 236810, 236908, 2142, 1024, 236743, 236825, 236771, 3794, 531, 1601, 2731, 1023, 2523, 7946, 531, 17110, 14105, 21274, 236761, 28344, 611, 1845, 506, 14988, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236812, 236832, 236770, 236761, 236832, 236828, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13822, 7548, 14988, 573, 822, 609, 236778, 236810, 236764, 236771, 236771, 236771, 1295, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1024, 236743, 236825, 236771, 3794, 568, 236810, 1518, 779, 20414, 5213, 1904, 1679, 7548, 66515, 108, 1018, 96579, 35032, 236787, 609, 236812, 236832, 236770, 236761, 236832, 236828, 1018, 108, 2094, 19005, 1679, 618, 236787, 107, 236772, 5213, 48000, 66515, 609, 236778, 236810, 236764, 236771, 236771, 236771, 107, 236772, 5213, 34430, 25870, 66515, 236743, 236810, 236908, 24321, 568, 236771, 236761, 236812, 236770, 236825, 236832, 236908, 13822, 236768, 107, 236772, 5213, 10960, 66515, 236743, 236825, 236771, 3794, 108, 236829, 10282, 236787, 1174, 14988, 34266, 496, 236743, 236771, 236908, 1679, 7548, 236761, 1637, 611, 2731, 531, 1386, 496, 1679, 7548, 568, 236744, 236761, 236759, 1126, 609, 236810, 236764, 236771, 236771, 236771, 779, 506, 13822, 7548, 1093, 11086, 8792, 9603, 108, 2094, 7715, 236772, 18865, 7548, 1451, 1601, 3055, 822, 2523, 7946, 531, 17110, 14105, 21274, 236888, 236743, 245701, 239794, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 1679, 7548, 653, 10670, 1941, 573, 496, 1607, 16613, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 4940, 45855, 14993, 573, 1041, 8268, 2260, 5975, 5395, 672, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 55006, 528, 506, 8618, 607, 784, 822, 3710, 532, 25224, 711, 580, 822, 1852, 6611, 236793, 528, 784, 822, 4861, 27517, 20633, 236764, 532, 1293, 2863, 1982, 822, 16412, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 44027, 45855, 14993, 573, 822, 8268, 2260, 5975, 5395, 672, 2069, 236787, 108, 236813, 165996, 55006, 528, 506, 8618, 607, 784, 822, 3710, 532, 25224, 711, 580, 822, 1852, 6611, 236793, 528, 784, 822, 4861, 27517, 20633, 236764, 532, 1293, 2863, 1982, 822, 16412, 1781, 236829, 138, 107, 236813, 2192, 181694, 236743, 236800, 236787, 236810, 236772, 236825, 108, 12055, 672, 28834, 30463, 21475, 8699, 532, 16856, 573, 822, 22658, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 8574, 611, 1586, 506, 7132, 529, 623, 62145, 236775, 528, 672, 78923, 699, 5729, 16776, 236789, 236751, 808, 236811, 2015, 236829, 573, 1041, 2260, 5975, 8699, 236881, 138, 107, 71510, 218775, 236787, 564, 236789, 236757, 496, 880, 236764, 564, 236789, 236757, 496, 880, 236761, 564, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 236761, 564, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 1781, 236829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 62145, 827, 623, 27521, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 818, 3658, 623, 62145, 236775, 7412, 5213, 236778, 2782, 1018, 528, 506, 3847, 78923, 699, 808, 236811, 2015, 22429, 5715, 236789, 236751, 506, 7798, 1757, 573, 5577, 236787, 138, 107, 236813, 165996, 236777, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 236761, 564, 236789, 236757, 496, 880, 1015, 236789, 236751, 2506, 496, 9156, 1781, 236829, 108, 2094, 51881, 58811, 51580, 236858, 236751, 6082, 80125, 236764, 496, 2307, 7824, 528, 506, 1441, 236761, 18561, 672, 7351, 14838, 21475, 12309, 657, 822, 2260, 5975, 236888, 236743, 244878, 239794, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 9279, 506, 13822, 7548, 573, 496, 609, 236778, 236810, 236764, 236771, 236771, 236771, 1295, 10670, 657, 236743, 236810, 236908, 2142, 1024, 236743, 236825, 236771, 3794, 531, 1601, 2731, 1023, 2523, 7946, 531, 17110, 14105, 21274, 236761, 28344, 611, 1845, 506, 14988, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236812, 236832, 236770, 236761, 236832, 236828, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13822, 7548, 14988, 573, 822, 609, 236778, 236810, 236764, 236771, 236771, 236771, 1295, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1024, 236743, 236825, 236771, 3794, 568, 236810, 1518, 779, 20414, 5213, 1904, 1679, 7548, 66515, 108, 1018, 96579, 35032, 236787, 609, 236812, 236832, 236770, 236761, 236832, 236828, 1018, 108, 2094, 19005, 1679, 618, 236787, 107, 236772, 5213, 48000, 66515, 609, 236778, 236810, 236764, 236771, 236771, 236771, 107, 236772, 5213, 34430, 25870, 66515, 236743, 236810, 236908, 24321, 568, 236771, 236761, 236812, 236770, 236825, 236832, 236908, 13822, 236768, 107, 236772, 5213, 10960, 66515, 236743, 236825, 236771, 3794, 108, 236829, 10282, 236787, 1174, 14988, 34266, 496, 236743, 236771, 236908, 1679, 7548, 236761, 1637, 611, 2731, 531, 1386, 496, 1679, 7548, 568, 236744, 236761, 236759, 1126, 609, 236810, 236764, 236771, 236771, 236771, 779, 506, 13822, 7548, 1093, 11086, 8792, 9603, 108, 2094, 7715, 236772, 18865, 7548, 1451, 1601, 3055, 822, 2523, 7946, 531, 17110, 14105, 21274, 236888, 236743, 245701, 239794, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 1679, 7548, 653, 10670, 1941, 573, 496, 1607, 16613, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 16329, 506, 2780, 38507, 24074, 573, 1156, 2263, 12616, 564, 236789, 236757, 11337, 573, 496, 37543, 6387, 3446, 2197, 91624, 236761, 28344, 611, 1385, 872, 2774, 70933, 1630, 224607, 532, 669, 44105, 54189, 5407, 236881, 564, 1461, 531, 1386, 2889, 4326, 236789, 236751, 6338, 1680, 38564, 1041, 4690, 1024, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70358, 1083, 623, 4967, 70933, 1630, 224607, 827, 623, 7566, 31469, 236779, 13126, 1083, 623, 236776, 827, 623, 17625, 236779, 89653, 236779, 8318, 1083, 236743, 236819, 236812, 236764, 623, 5455, 236779, 88180, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 23184, 1083, 623, 60881, 38507, 10154, 5773, 1913, 1774, 17611, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 70358, 1083, 623, 818, 44105, 54189, 5407, 827, 623, 7566, 31469, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 13126, 236779, 7669, 1083, 623, 236810, 236761, 236771, 827, 623, 5455, 236779, 88180, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 26329, 1083, 623, 60881, 38507, 10154, 5773, 1913, 1774, 17611, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2780, 38507, 1938, 573, 506, 1156, 12616, 236787, 108, 1018, 4967, 70933, 1630, 224607, 1018, 138, 107, 236772, 104442, 47240, 236787, 562, 568, 236819, 236812, 236908, 6317, 236768, 138, 107, 236772, 11662, 64226, 236787, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 236772, 24118, 236787, 37843, 38507, 10154, 5773, 138, 108, 1018, 818, 44105, 54189, 5407, 1018, 138, 107, 236772, 104442, 47240, 236787, 236743, 236812, 236761, 236778, 236786, 236810, 236761, 236771, 138, 107, 236772, 11662, 64226, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 32213, 236787, 37843, 38507, 10154, 5773, 138, 108, 22186, 53837, 735, 3188, 2780, 5646, 8735, 607, 4803, 52609, 49378, 1535, 38507, 10154, 236761, 21284, 611, 1133, 786, 531, 2847, 1027, 4767, 4889, 1003, 3477, 9180, 236881, 106, 107, 105, 2364, 107, 30092, 611, 5091, 1769, 8687, 580, 1239, 38507, 24074, 573, 1800, 12616, 236881, 564, 236789, 236753, 1133, 531, 10769, 1091, 3209, 1056, 32271, 837, 886, 531, 1900, 699, 573, 506, 2197, 91624, 236761, 6542, 236764, 768, 993, 236789, 236751, 1027, 1595, 531, 2426, 768, 3477, 1977, 5469, 52724, 3019, 653, 815, 496, 6831, 600, 5132, 19292, 1133, 677, 2538, 135556, 24988, 6835, 532, 13840, 236764, 600, 1093, 577, 7646, 236761, 2024, 768, 711, 236764, 506, 38507, 8283, 528, 8687, 795, 1601, 786, 12019, 2432, 1679, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 21452, 236779, 14210, 1083, 3714, 3250, 1083, 623, 4967, 70933, 1630, 224607, 104442, 827, 623, 3955, 1083, 623, 27899, 31469, 47240, 236787, 562, 568, 236819, 236812, 236908, 6317, 779, 11662, 64226, 236787, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 24118, 236787, 37843, 38507, 10154, 5773, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 14210, 236779, 547, 1083, 623, 42088, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 818, 44105, 54189, 5407, 104442, 827, 623, 3955, 1083, 623, 27899, 31469, 47240, 236787, 236743, 236812, 236761, 236778, 236786, 236810, 236761, 236771, 236785, 236749, 9008, 64226, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236785, 236749, 24967, 236787, 37843, 38507, 10154, 5773, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 4818, 1083, 623, 21452, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 10428, 10683, 8687, 580, 1800, 12616, 236789, 38507, 24074, 573, 822, 5577, 236761, 69998, 52724, 3019, 532, 6831, 4889, 568, 5282, 677, 2538, 135556, 24988, 6835, 532, 13840, 779, 564, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 2847, 672, 1938, 236761, 3153, 236764, 564, 740, 1601, 607, 236787, 108, 236772, 70391, 4767, 8687, 1003, 822, 2197, 91624, 6614, 107, 236772, 35728, 82925, 573, 1500, 236772, 1048, 9395, 107, 236772, 13863, 522, 1032, 2263, 3019, 568, 236744, 236761, 236759, 1126, 184579, 236751, 236764, 2862, 1262, 236764, 653, 8610, 8283, 768, 4354, 236768, 108, 38786, 611, 1133, 531, 7162, 607, 1027, 529, 1239, 3835, 236764, 653, 563, 993, 2264, 1595, 564, 740, 6361, 607, 822, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 4257, 7959, 48420, 9535, 573, 506, 3068, 2297, 236881, 564, 236789, 236757, 6995, 496, 6387, 3446, 532, 1461, 531, 1138, 1070, 5251, 83426, 531, 506, 53063, 236761, 15704, 993, 659, 1070, 108066, 16710, 600, 1093, 14125, 1023, 677, 2538, 135556, 24988, 6835, 532, 13840, 19549, 7824, 236761, 7129, 86736, 12384, 600, 1451, 981, 607, 496, 37543, 21199, 529, 623, 17729, 7768, 573, 49430, 51653, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20297, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236832, 827, 623, 3991, 236779, 78382, 1083, 78493, 15080, 1083, 236743, 236770, 236764, 623, 3250, 1083, 623, 8696, 9290, 568, 8762, 1205, 22730, 623, 31040, 1083, 623, 83242, 721, 32546, 869, 598, 12110, 236761, 646, 19473, 565, 827, 623, 56036, 1083, 623, 79267, 236772, 71780, 827, 623, 62353, 236779, 1708, 1083, 623, 169685, 109708, 8115, 4087, 607, 97460, 31866, 23179, 3714, 15080, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 26462, 9064, 568, 236776, 3275, 8353, 107082, 22730, 623, 31040, 1083, 623, 18318, 236772, 4976, 5642, 10931, 827, 623, 56036, 1083, 623, 236776, 3275, 8353, 827, 623, 62353, 236779, 1708, 1083, 623, 10005, 680, 1072, 32286, 65733, 573, 14711, 18583, 23179, 3714, 15080, 1083, 236743, 236800, 236764, 623, 3250, 1083, 623, 236773, 572, 9015, 35938, 827, 623, 31040, 1083, 623, 37711, 7340, 5400, 4281, 827, 623, 56036, 1083, 623, 125743, 236772, 22492, 530, 50455, 827, 623, 62353, 236779, 1708, 1083, 623, 12104, 1275, 4087, 607, 4649, 214687, 26899, 23179, 3714, 15080, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 66089, 14596, 827, 623, 31040, 1083, 623, 236774, 30548, 7106, 19324, 827, 623, 56036, 1083, 623, 11907, 827, 623, 62353, 236779, 1708, 1083, 623, 154980, 104977, 53063, 2561, 23179, 3714, 15080, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 234545, 49656, 2149, 827, 623, 31040, 1083, 623, 25261, 77173, 827, 623, 56036, 1083, 623, 28203, 827, 623, 62353, 236779, 1708, 1083, 623, 91454, 742, 12532, 607, 6672, 41717, 25938, 1604, 623, 14210, 1083, 623, 24408, 13526, 236743, 236770, 236772, 236770, 236771, 3353, 236743, 236778, 236771, 236778, 236812, 236761, 1701, 822, 19549, 7824, 236764, 1966, 39364, 756, 236773, 572, 9015, 35938, 236789, 607, 44018, 19292, 532, 756, 26462, 9064, 236789, 573, 31096, 17047, 236761, 2343, 16710, 2487, 580, 3262, 21566, 14175, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 67722, 6799, 699, 506, 6524, 4257, 7959, 48420, 9535, 568, 12055, 236743, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 600, 1093, 29830, 14125, 822, 808, 17729, 7768, 573, 49430, 236829, 37543, 21199, 532, 19549, 27249, 236787, 108, 1018, 247173, 8231, 150170, 573, 5180, 21657, 1018, 138, 107, 236770, 236761, 5213, 236775, 236773, 572, 9015, 35938, 236775, 753, 15773, 7340, 5400, 4281, 568, 125743, 236772, 22492, 530, 50455, 62902, 138, 107, 139, 236829, 12104, 1275, 4649, 214687, 236772, 167367, 39161, 236829, 4011, 573, 30520, 77152, 18583, 568, 36345, 558, 2665, 236789, 236751, 144044, 14049, 13144, 769, 200343, 1388, 607, 44018, 19292, 236761, 108, 236778, 236761, 5213, 236775, 26462, 9064, 568, 236776, 3275, 8353, 107082, 16291, 753, 7718, 236772, 4976, 5642, 10931, 1018, 138, 107, 139, 236829, 10005, 680, 1072, 32286, 65733, 236829, 7436, 573, 14711, 17047, 653, 506, 4103, 236789, 236751, 21361, 12996, 2699, 236761, 18898, 672, 573, 31096, 990, 236761, 108, 236800, 236761, 5213, 236775, 66089, 14596, 236775, 753, 22540, 236746, 7106, 19324, 568, 11907, 62902, 138, 107, 139, 236829, 154980, 236764, 51182, 97376, 236829, 600, 14701, 558, 2665, 236789, 236751, 25249, 9338, 236761, 8098, 573, 104977, 18583, 236761, 108, 236812, 236761, 5213, 236775, 234545, 49656, 2149, 236775, 753, 11930, 77173, 568, 28203, 62902, 138, 107, 139, 236829, 169685, 109708, 22023, 89970, 236829, 531, 3107, 506, 3446, 607, 496, 12847, 742, 4087, 600, 48178, 6672, 12054, 236761, 108, 1018, 245357, 669, 18644, 205224, 1018, 138, 107, 236772, 669, 22064, 529, 3013, 670, 8353, 532, 93777, 50455, 89970, 44066, 506, 4103, 236789, 236751, 6921, 529, 26135, 14385, 532, 30520, 54491, 236761, 138, 107, 236772, 623, 236773, 572, 9015, 35938, 236775, 532, 623, 8696, 9290, 236775, 1138, 614, 5251, 12847, 2778, 600, 1451, 14051, 822, 2197, 91624, 236789, 236751, 55057, 44249, 236761, 138, 108, 1018, 245305, 7918, 53121, 2343, 16710, 659, 2487, 580, 3262, 21566, 14175, 236761, 21284, 611, 1133, 1601, 114521, 496, 2587, 44262, 7501, 236764, 653, 1374, 564, 2426, 768, 1027, 529, 1239, 11421, 735, 4252, 10103, 600, 1451, 577, 27712, 1913, 506, 21199, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 16329, 506, 2780, 38507, 24074, 573, 1156, 2263, 12616, 564, 236789, 236757, 11337, 573, 496, 37543, 6387, 3446, 2197, 91624, 236761, 28344, 611, 1385, 872, 2774, 70933, 1630, 224607, 532, 669, 44105, 54189, 5407, 236881, 564, 1461, 531, 1386, 2889, 4326, 236789, 236751, 6338, 1680, 38564, 1041, 4690, 1024, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70358, 1083, 623, 4967, 70933, 1630, 224607, 827, 623, 7566, 31469, 236779, 13126, 1083, 623, 236776, 827, 623, 17625, 236779, 89653, 236779, 8318, 1083, 236743, 236819, 236812, 236764, 623, 5455, 236779, 88180, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 23184, 1083, 623, 60881, 38507, 10154, 5773, 1913, 1774, 17611, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 70358, 1083, 623, 818, 44105, 54189, 5407, 827, 623, 7566, 31469, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 13126, 236779, 7669, 1083, 623, 236810, 236761, 236771, 827, 623, 5455, 236779, 88180, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 26329, 1083, 623, 60881, 38507, 10154, 5773, 1913, 1774, 17611, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2780, 38507, 1938, 573, 506, 1156, 12616, 236787, 108, 1018, 4967, 70933, 1630, 224607, 1018, 138, 107, 236772, 104442, 47240, 236787, 562, 568, 236819, 236812, 236908, 6317, 236768, 138, 107, 236772, 11662, 64226, 236787, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 236772, 24118, 236787, 37843, 38507, 10154, 5773, 138, 108, 1018, 818, 44105, 54189, 5407, 1018, 138, 107, 236772, 104442, 47240, 236787, 236743, 236812, 236761, 236778, 236786, 236810, 236761, 236771, 138, 107, 236772, 11662, 64226, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 32213, 236787, 37843, 38507, 10154, 5773, 138, 108, 22186, 53837, 735, 3188, 2780, 5646, 8735, 607, 4803, 52609, 49378, 1535, 38507, 10154, 236761, 21284, 611, 1133, 786, 531, 2847, 1027, 4767, 4889, 1003, 3477, 9180, 236881, 106, 107, 105, 2364, 107, 30092, 611, 5091, 1769, 8687, 580, 1239, 38507, 24074, 573, 1800, 12616, 236881, 564, 236789, 236753, 1133, 531, 10769, 1091, 3209, 1056, 32271, 837, 886, 531, 1900, 699, 573, 506, 2197, 91624, 236761, 6542, 236764, 768, 993, 236789, 236751, 1027, 1595, 531, 2426, 768, 3477, 1977, 5469, 52724, 3019, 653, 815, 496, 6831, 600, 5132, 19292, 1133, 677, 2538, 135556, 24988, 6835, 532, 13840, 236764, 600, 1093, 577, 7646, 236761, 2024, 768, 711, 236764, 506, 38507, 8283, 528, 8687, 795, 1601, 786, 12019, 2432, 1679, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 21452, 236779, 14210, 1083, 3714, 3250, 1083, 623, 4967, 70933, 1630, 224607, 104442, 827, 623, 3955, 1083, 623, 27899, 31469, 47240, 236787, 562, 568, 236819, 236812, 236908, 6317, 779, 11662, 64226, 236787, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 24118, 236787, 37843, 38507, 10154, 5773, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 14210, 236779, 547, 1083, 623, 42088, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 818, 44105, 54189, 5407, 104442, 827, 623, 3955, 1083, 623, 27899, 31469, 47240, 236787, 236743, 236812, 236761, 236778, 236786, 236810, 236761, 236771, 236785, 236749, 9008, 64226, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236785, 236749, 24967, 236787, 37843, 38507, 10154, 5773, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 4818, 1083, 623, 21452, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 10428, 10683, 8687, 580, 1800, 12616, 236789, 38507, 24074, 573, 822, 5577, 236761, 69998, 52724, 3019, 532, 6831, 4889, 568, 5282, 677, 2538, 135556, 24988, 6835, 532, 13840, 779, 564, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 2847, 672, 1938, 236761, 3153, 236764, 564, 740, 1601, 607, 236787, 108, 236772, 70391, 4767, 8687, 1003, 822, 2197, 91624, 6614, 107, 236772, 35728, 82925, 573, 1500, 236772, 1048, 9395, 107, 236772, 13863, 522, 1032, 2263, 3019, 568, 236744, 236761, 236759, 1126, 184579, 236751, 236764, 2862, 1262, 236764, 653, 8610, 8283, 768, 4354, 236768, 108, 38786, 611, 1133, 531, 7162, 607, 1027, 529, 1239, 3835, 236764, 653, 563, 993, 2264, 1595, 564, 740, 6361, 607, 822, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 4257, 7959, 48420, 9535, 573, 506, 3068, 2297, 236881, 564, 236789, 236757, 6995, 496, 6387, 3446, 532, 1461, 531, 1138, 1070, 5251, 83426, 531, 506, 53063, 236761, 15704, 993, 659, 1070, 108066, 16710, 600, 1093, 14125, 1023, 677, 2538, 135556, 24988, 6835, 532, 13840, 19549, 7824, 236761, 7129, 86736, 12384, 600, 1451, 981, 607, 496, 37543, 21199, 529, 623, 17729, 7768, 573, 49430, 51653, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20297, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236832, 827, 623, 3991, 236779, 78382, 1083, 78493, 15080, 1083, 236743, 236770, 236764, 623, 3250, 1083, 623, 8696, 9290, 568, 8762, 1205, 22730, 623, 31040, 1083, 623, 83242, 721, 32546, 869, 598, 12110, 236761, 646, 19473, 565, 827, 623, 56036, 1083, 623, 79267, 236772, 71780, 827, 623, 62353, 236779, 1708, 1083, 623, 169685, 109708, 8115, 4087, 607, 97460, 31866, 23179, 3714, 15080, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 26462, 9064, 568, 236776, 3275, 8353, 107082, 22730, 623, 31040, 1083, 623, 18318, 236772, 4976, 5642, 10931, 827, 623, 56036, 1083, 623, 236776, 3275, 8353, 827, 623, 62353, 236779, 1708, 1083, 623, 10005, 680, 1072, 32286, 65733, 573, 14711, 18583, 23179, 3714, 15080, 1083, 236743, 236800, 236764, 623, 3250, 1083, 623, 236773, 572, 9015, 35938, 827, 623, 31040, 1083, 623, 37711, 7340, 5400, 4281, 827, 623, 56036, 1083, 623, 125743, 236772, 22492, 530, 50455, 827, 623, 62353, 236779, 1708, 1083, 623, 12104, 1275, 4087, 607, 4649, 214687, 26899, 23179, 3714, 15080, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 66089, 14596, 827, 623, 31040, 1083, 623, 236774, 30548, 7106, 19324, 827, 623, 56036, 1083, 623, 11907, 827, 623, 62353, 236779, 1708, 1083, 623, 154980, 104977, 53063, 2561, 23179, 3714, 15080, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 234545, 49656, 2149, 827, 623, 31040, 1083, 623, 25261, 77173, 827, 623, 56036, 1083, 623, 28203, 827, 623, 62353, 236779, 1708, 1083, 623, 91454, 742, 12532, 607, 6672, 41717, 25938, 1604, 623, 14210, 1083, 623, 24408, 13526, 236743, 236770, 236772, 236770, 236771, 3353, 236743, 236778, 236771, 236778, 236812, 236761, 1701, 822, 19549, 7824, 236764, 1966, 39364, 756, 236773, 572, 9015, 35938, 236789, 607, 44018, 19292, 532, 756, 26462, 9064, 236789, 573, 31096, 17047, 236761, 2343, 16710, 2487, 580, 3262, 21566, 14175, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 67722, 6799, 699, 506, 6524, 4257, 7959, 48420, 9535, 568, 12055, 236743, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 600, 1093, 29830, 14125, 822, 808, 17729, 7768, 573, 49430, 236829, 37543, 21199, 532, 19549, 27249, 236787, 108, 1018, 247173, 8231, 150170, 573, 5180, 21657, 1018, 138, 107, 236770, 236761, 5213, 236775, 236773, 572, 9015, 35938, 236775, 753, 15773, 7340, 5400, 4281, 568, 125743, 236772, 22492, 530, 50455, 62902, 138, 107, 139, 236829, 12104, 1275, 4649, 214687, 236772, 167367, 39161, 236829, 4011, 573, 30520, 77152, 18583, 568, 36345, 558, 2665, 236789, 236751, 144044, 14049, 13144, 769, 200343, 1388, 607, 44018, 19292, 236761, 108, 236778, 236761, 5213, 236775, 26462, 9064, 568, 236776, 3275, 8353, 107082, 16291, 753, 7718, 236772, 4976, 5642, 10931, 1018, 138, 107, 139, 236829, 10005, 680, 1072, 32286, 65733, 236829, 7436, 573, 14711, 17047, 653, 506, 4103, 236789, 236751, 21361, 12996, 2699, 236761, 18898, 672, 573, 31096, 990, 236761, 108, 236800, 236761, 5213, 236775, 66089, 14596, 236775, 753, 22540, 236746, 7106, 19324, 568, 11907, 62902, 138, 107, 139, 236829, 154980, 236764, 51182, 97376, 236829, 600, 14701, 558, 2665, 236789, 236751, 25249, 9338, 236761, 8098, 573, 104977, 18583, 236761, 108, 236812, 236761, 5213, 236775, 234545, 49656, 2149, 236775, 753, 11930, 77173, 568, 28203, 62902, 138, 107, 139, 236829, 169685, 109708, 22023, 89970, 236829, 531, 3107, 506, 3446, 607, 496, 12847, 742, 4087, 600, 48178, 6672, 12054, 236761, 108, 1018, 245357, 669, 18644, 205224, 1018, 138, 107, 236772, 669, 22064, 529, 3013, 670, 8353, 532, 93777, 50455, 89970, 44066, 506, 4103, 236789, 236751, 6921, 529, 26135, 14385, 532, 30520, 54491, 236761, 138, 107, 236772, 623, 236773, 572, 9015, 35938, 236775, 532, 623, 8696, 9290, 236775, 1138, 614, 5251, 12847, 2778, 600, 1451, 14051, 822, 2197, 91624, 236789, 236751, 55057, 44249, 236761, 138, 108, 1018, 245305, 7918, 53121, 2343, 16710, 659, 2487, 580, 3262, 21566, 14175, 236761, 21284, 611, 1133, 1601, 114521, 496, 2587, 44262, 7501, 236764, 653, 1374, 564, 2426, 768, 1027, 529, 1239, 11421, 735, 4252, 10103, 600, 1451, 577, 27712, 1913, 506, 21199, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 2460, 19573, 38332, 528, 56380, 236764, 8253, 236761, 3792, 236789, 236751, 1502, 684, 67896, 784, 5082, 528, 672, 20058, 3393, 1699, 974, 52748, 2003, 34192, 236779, 12251, 236761, 564, 236789, 859, 1202, 531, 2426, 768, 1027, 529, 1239, 37643, 740, 25430, 236743, 236770, 236771, 236771, 236862, 12286, 607, 8351, 8848, 573, 1041, 52705, 2197, 236752, 63901, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 1586, 9273, 37643, 528, 56380, 236764, 8253, 236761, 2282, 7162, 607, 506, 974, 52748, 2003, 34192, 236779, 12251, 1292, 236764, 564, 1202, 236787, 107, 236770, 236761, 669, 3530, 65911, 3393, 573, 56380, 236764, 8253, 568, 236744, 236761, 236759, 1126, 236743, 236819, 236812, 236810, 236770, 236828, 236764, 236743, 236819, 236812, 236810, 236770, 236819, 236764, 653, 236743, 236819, 236812, 236810, 236778, 236771, 236768, 107, 236778, 236761, 5180, 16121, 67829, 2802, 8369, 573, 31324, 108, 30092, 611, 5091, 2847, 1239, 4889, 236881, 9920, 564, 735, 1091, 236764, 564, 236789, 859, 8729, 614, 1900, 5853, 532, 33205, 506, 3670, 38332, 573, 611, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 2847, 506, 4889, 236761, 669, 65911, 3393, 573, 56380, 236764, 8253, 563, 236743, 236819, 236812, 236810, 236778, 236771, 236761, 3551, 16121, 67829, 2802, 8369, 563, 623, 1968, 27424, 236770, 236778, 236800, 236779, 1045, 3840, 1205, 236779, 1114, 3056, 29202, 753, 1602, 564, 4928, 52705, 2197, 236752, 63901, 6517, 236881, 38403, 236764, 564, 1374, 2426, 768, 1027, 37643, 735, 6635, 72223, 236761, 3792, 236789, 236751, 1386, 2889, 506, 3927, 5132, 8848, 607, 2587, 8351, 15858, 2338, 564, 236789, 859, 577, 17373, 3306, 3192, 573, 236743, 236770, 236771, 236771, 236862, 12286, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 12363, 236779, 547, 1083, 623, 10192, 236917, 236779, 236819, 236812, 236810, 236778, 236771, 236779, 236771, 236771, 236770, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 56380, 18977, 827, 623, 3255, 1083, 623, 5635, 827, 623, 13319, 1083, 623, 1505, 17885, 827, 623, 15905, 1083, 623, 236819, 236812, 236810, 236778, 236771, 827, 623, 6109, 236779, 1201, 1083, 623, 1505, 17885, 12209, 6022, 827, 623, 235525, 1083, 3714, 62473, 236779, 93420, 1083, 1847, 236764, 623, 561, 1194, 236779, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 71758, 37584, 827, 623, 20619, 41839, 827, 623, 91963, 46247, 152254, 623, 56905, 1083, 3714, 4818, 1083, 623, 18700, 827, 623, 4874, 236779, 18700, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236775, 5237, 3714, 12363, 236779, 547, 1083, 623, 10192, 236917, 236779, 236819, 236812, 236810, 236778, 236771, 236779, 236771, 236812, 236810, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 70585, 16351, 827, 623, 3255, 1083, 623, 5635, 827, 623, 13319, 1083, 623, 1505, 17885, 827, 623, 15905, 1083, 623, 236819, 236812, 236810, 236778, 236771, 827, 623, 6109, 236779, 1201, 1083, 623, 36257, 5796, 208910, 9519, 827, 623, 235525, 1083, 3714, 62473, 236779, 93420, 1083, 1847, 236764, 623, 561, 1194, 236779, 48578, 1083, 236743, 236778, 236771, 236771, 236764, 623, 22860, 1236, 1083, 11058, 4423, 3192, 118570, 827, 623, 20723, 236772, 495, 30927, 827, 623, 85717, 152254, 623, 56905, 1083, 3714, 4818, 1083, 623, 154201, 827, 623, 4874, 236779, 18700, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236771, 236770, 127096, 1604, 623, 2305, 236779, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 1505, 17885, 236764, 8253, 236743, 236819, 236812, 236810, 236778, 236771, 827, 623, 93420, 236779, 81521, 1083, 623, 62473, 8848, 23179, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 2460, 37643, 528, 56380, 236764, 8253, 568, 92824, 236743, 236819, 236812, 236810, 236778, 236771, 236768, 600, 2874, 822, 6035, 573, 236743, 236770, 236771, 236771, 236862, 12286, 532, 6635, 8351, 8848, 236787, 108, 236770, 236761, 5213, 1505, 17885, 12209, 6022, 1018, 138, 107, 139, 236772, 61242, 236787, 236743, 236770, 236810, 236771, 12286, 138, 107, 139, 236772, 29116, 8351, 4065, 236787, 19380, 37584, 236764, 2455, 41839, 236764, 4866, 46247, 138, 107, 139, 236772, 75669, 236787, 113452, 18326, 6250, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 36257, 5796, 208910, 9519, 1018, 138, 107, 139, 236772, 61242, 236787, 236743, 236778, 236771, 236771, 12286, 138, 107, 139, 236772, 29116, 8351, 4065, 236787, 4524, 3192, 118570, 236764, 3727, 236772, 495, 30927, 236764, 53251, 138, 107, 139, 236772, 75669, 236787, 236743, 242523, 7167, 524, 3097, 3353, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 22186, 37643, 735, 506, 4127, 12308, 573, 2455, 236772, 7669, 14049, 4749, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 21212, 236786, 141329, 12412, 573, 1239, 37643, 568, 584, 2487, 1343, 16121, 67829, 6436, 20625, 138, 107, 236778, 236761, 46071, 14942, 65911, 17253, 568, 236744, 236761, 236759, 1126, 236743, 236819, 236812, 236810, 236770, 236828, 236764, 236743, 236819, 236812, 236810, 236770, 236819, 236768, 573, 4767, 3835, 236881, 138, 107, 236800, 236761, 10703, 11870, 3530, 8351, 5842, 4889, 568, 236744, 236761, 236759, 1126, 3306, 3192, 3661, 11550, 236764, 58351, 29262, 20625, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 21212, 573, 56380, 12209, 6022, 1171, 753, 564, 1202, 531, 1281, 768, 625, 236789, 236751, 2351, 1041, 7715, 236761, 6542, 236764, 1451, 611, 11327, 506, 236743, 236819, 236812, 236810, 236770, 236828, 65911, 3393, 573, 21609, 3835, 236881, 13472, 236764, 1531, 786, 1281, 768, 901, 735, 3306, 3192, 56227, 2487, 653, 768, 564, 1202, 531, 3437, 1041, 1852, 753, 564, 236789, 236757, 6995, 496, 14361, 236772, 68122, 2197, 91624, 532, 1461, 531, 1386, 2889, 506, 19573, 740, 25430, 2005, 3661, 11550, 573, 236743, 236770, 236771, 236771, 105565, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 12363, 236779, 547, 1083, 623, 7828, 236917, 236779, 236819, 236812, 236810, 236770, 236828, 236779, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 1505, 17885, 12209, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 56380, 236764, 8253, 236743, 236819, 236812, 236810, 236770, 236828, 827, 623, 9707, 236779, 8572, 1083, 6610, 9873, 827, 623, 22860, 1236, 1083, 11058, 93420, 8848, 827, 623, 232832, 4866, 2433, 827, 623, 81234, 34034, 14255, 623, 56905, 1083, 623, 9020, 524, 38025, 1186, 827, 623, 2074, 236779, 48578, 1083, 236743, 236770, 236810, 236771, 1263, 3714, 12363, 236779, 547, 1083, 623, 7828, 236917, 236779, 236819, 236812, 236810, 236770, 236828, 236779, 236771, 236771, 236832, 827, 623, 1201, 1083, 623, 202880, 9519, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 16351, 236764, 56380, 236764, 8253, 236743, 236819, 236812, 236810, 236770, 236828, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 22860, 1236, 1083, 11058, 62473, 8351, 827, 623, 236758, 48381, 6310, 827, 623, 1111, 536, 12660, 14255, 623, 56905, 1083, 623, 21550, 7672, 236772, 48049, 827, 623, 2074, 236779, 48578, 1083, 236743, 236770, 236778, 236771, 1263, 3714, 12363, 236779, 547, 1083, 623, 7828, 236917, 236779, 236819, 236812, 236810, 236770, 236828, 236779, 236771, 236770, 236812, 827, 623, 1201, 1083, 623, 236798, 1950, 754, 76645, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 33518, 18977, 236764, 56380, 236764, 8253, 236743, 236819, 236812, 236810, 236770, 236828, 827, 623, 9707, 236779, 8572, 1083, 6610, 9873, 122317, 623, 22860, 1236, 1083, 11058, 10602, 236772, 8114, 52724, 827, 623, 192647, 2509, 827, 623, 20156, 236772, 39699, 5842, 14255, 623, 56905, 1083, 623, 9020, 524, 1343, 236743, 236778, 236771, 236778, 236812, 827, 623, 2074, 236779, 48578, 1083, 236743, 236778, 236771, 236771, 104960, 623, 2305, 236779, 21052, 1083, 3714, 15905, 236779, 3970, 1083, 623, 236819, 236812, 236810, 236770, 236828, 827, 623, 13319, 1083, 623, 1505, 17885, 827, 623, 3255, 1083, 623, 5635, 827, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 4423, 3192, 236779, 3842, 236779, 56905, 236779, 14210, 1083, 623, 11431, 19573, 5467, 573, 37358, 5842, 45174, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 236787, 108, 1018, 236770, 236761, 79913, 573, 56380, 12209, 6022, 568, 236819, 236812, 236810, 236778, 236771, 1473, 1018, 138, 107, 818, 9299, 3072, 3782, 236789, 236745, 3204, 14481, 21212, 4889, 573, 672, 19573, 236761, 3153, 236764, 2721, 580, 33772, 607, 3361, 37643, 528, 506, 2433, 236764, 2414, 6224, 4547, 528, 506, 5213, 236795, 4624, 9873, 236795, 2644, 1018, 568, 114292, 531, 13671, 21212, 769, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236772, 7179, 768, 16121, 67829, 815, 37731, 1262, 1343, 2165, 828, 52748, 2003, 12485, 236779, 22164, 236929, 573, 919, 4867, 19317, 236881, 138, 107, 236772, 59336, 3662, 4615, 531, 68256, 5467, 1003, 6224, 236881, 108, 1018, 236778, 236761, 71887, 28636, 528, 65911, 236743, 236819, 236812, 236810, 236770, 236828, 53121, 138, 107, 236772, 5213, 202880, 9519, 1018, 568, 236770, 236778, 236771, 236772, 48578, 236764, 18666, 1473, 29116, 8351, 607, 77155, 6310, 236764, 2487, 7672, 236772, 48049, 138, 107, 236772, 5213, 236798, 1950, 754, 76645, 1018, 568, 236778, 236771, 236771, 236772, 48578, 236764, 234956, 2500, 35929, 1343, 236743, 236778, 236771, 236778, 236812, 1473, 10456, 236772, 8114, 52724, 8848, 138, 107, 236772, 5213, 1505, 17885, 12209, 6022, 1018, 568, 236770, 236810, 236771, 236772, 48578, 236764, 234956, 1473, 28257, 531, 506, 236743, 236819, 236812, 236810, 236778, 236771, 4563, 840, 607, 11690, 34034, 2802, 138, 108, 1018, 236800, 236761, 4524, 3192, 29187, 75669, 53121, 138, 107, 818, 9299, 3072, 10916, 8687, 236787, 165996, 11431, 19573, 5467, 573, 37358, 5842, 45174, 1781, 236829, 138, 107, 236777, 5840, 17154, 855, 531, 1546, 19573, 531, 236787, 138, 107, 236772, 64063, 15830, 529, 2455, 3306, 3192, 56227, 568, 236770, 236771, 236771, 236772, 102487, 6541, 236768, 138, 107, 236772, 799, 16082, 1003, 58351, 108124, 573, 11690, 14049, 138, 107, 236772, 7179, 768, 901, 2174, 3577, 5842, 6310, 1913, 4749, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43550, 496, 3662, 1694, 607, 19573, 4889, 573, 1500, 236772, 1048, 236881, 138, 107, 236778, 236761, 6890, 2165, 828, 52748, 2003, 12485, 236779, 22164, 236929, 531, 2426, 3670, 37731, 1262, 573, 7715, 6995, 236881, 138, 107, 236800, 236761, 46071, 12425, 236772, 5140, 34369, 2101, 56380, 236789, 236751, 3207, 3988, 573, 4767, 3835, 236881, 138, 108, 6481, 786, 1281, 822, 13546, 2148, 6555, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 2460, 19573, 38332, 528, 56380, 236764, 8253, 236761, 3792, 236789, 236751, 1502, 684, 67896, 784, 5082, 528, 672, 20058, 3393, 1699, 974, 52748, 2003, 34192, 236779, 12251, 236761, 564, 236789, 859, 1202, 531, 2426, 768, 1027, 529, 1239, 37643, 740, 25430, 236743, 236770, 236771, 236771, 236862, 12286, 607, 8351, 8848, 573, 1041, 52705, 2197, 236752, 63901, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 1586, 9273, 37643, 528, 56380, 236764, 8253, 236761, 2282, 7162, 607, 506, 974, 52748, 2003, 34192, 236779, 12251, 1292, 236764, 564, 1202, 236787, 107, 236770, 236761, 669, 3530, 65911, 3393, 573, 56380, 236764, 8253, 568, 236744, 236761, 236759, 1126, 236743, 236819, 236812, 236810, 236770, 236828, 236764, 236743, 236819, 236812, 236810, 236770, 236819, 236764, 653, 236743, 236819, 236812, 236810, 236778, 236771, 236768, 107, 236778, 236761, 5180, 16121, 67829, 2802, 8369, 573, 31324, 108, 30092, 611, 5091, 2847, 1239, 4889, 236881, 9920, 564, 735, 1091, 236764, 564, 236789, 859, 8729, 614, 1900, 5853, 532, 33205, 506, 3670, 38332, 573, 611, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 2847, 506, 4889, 236761, 669, 65911, 3393, 573, 56380, 236764, 8253, 563, 236743, 236819, 236812, 236810, 236778, 236771, 236761, 3551, 16121, 67829, 2802, 8369, 563, 623, 1968, 27424, 236770, 236778, 236800, 236779, 1045, 3840, 1205, 236779, 1114, 3056, 29202, 753, 1602, 564, 4928, 52705, 2197, 236752, 63901, 6517, 236881, 38403, 236764, 564, 1374, 2426, 768, 1027, 37643, 735, 6635, 72223, 236761, 3792, 236789, 236751, 1386, 2889, 506, 3927, 5132, 8848, 607, 2587, 8351, 15858, 2338, 564, 236789, 859, 577, 17373, 3306, 3192, 573, 236743, 236770, 236771, 236771, 236862, 12286, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 12363, 236779, 547, 1083, 623, 10192, 236917, 236779, 236819, 236812, 236810, 236778, 236771, 236779, 236771, 236771, 236770, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 56380, 18977, 827, 623, 3255, 1083, 623, 5635, 827, 623, 13319, 1083, 623, 1505, 17885, 827, 623, 15905, 1083, 623, 236819, 236812, 236810, 236778, 236771, 827, 623, 6109, 236779, 1201, 1083, 623, 1505, 17885, 12209, 6022, 827, 623, 235525, 1083, 3714, 62473, 236779, 93420, 1083, 1847, 236764, 623, 561, 1194, 236779, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 71758, 37584, 827, 623, 20619, 41839, 827, 623, 91963, 46247, 152254, 623, 56905, 1083, 3714, 4818, 1083, 623, 18700, 827, 623, 4874, 236779, 18700, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236775, 5237, 3714, 12363, 236779, 547, 1083, 623, 10192, 236917, 236779, 236819, 236812, 236810, 236778, 236771, 236779, 236771, 236812, 236810, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 70585, 16351, 827, 623, 3255, 1083, 623, 5635, 827, 623, 13319, 1083, 623, 1505, 17885, 827, 623, 15905, 1083, 623, 236819, 236812, 236810, 236778, 236771, 827, 623, 6109, 236779, 1201, 1083, 623, 36257, 5796, 208910, 9519, 827, 623, 235525, 1083, 3714, 62473, 236779, 93420, 1083, 1847, 236764, 623, 561, 1194, 236779, 48578, 1083, 236743, 236778, 236771, 236771, 236764, 623, 22860, 1236, 1083, 11058, 4423, 3192, 118570, 827, 623, 20723, 236772, 495, 30927, 827, 623, 85717, 152254, 623, 56905, 1083, 3714, 4818, 1083, 623, 154201, 827, 623, 4874, 236779, 18700, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236771, 236770, 127096, 1604, 623, 2305, 236779, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 1505, 17885, 236764, 8253, 236743, 236819, 236812, 236810, 236778, 236771, 827, 623, 93420, 236779, 81521, 1083, 623, 62473, 8848, 23179, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 2460, 37643, 528, 56380, 236764, 8253, 568, 92824, 236743, 236819, 236812, 236810, 236778, 236771, 236768, 600, 2874, 822, 6035, 573, 236743, 236770, 236771, 236771, 236862, 12286, 532, 6635, 8351, 8848, 236787, 108, 236770, 236761, 5213, 1505, 17885, 12209, 6022, 1018, 138, 107, 139, 236772, 61242, 236787, 236743, 236770, 236810, 236771, 12286, 138, 107, 139, 236772, 29116, 8351, 4065, 236787, 19380, 37584, 236764, 2455, 41839, 236764, 4866, 46247, 138, 107, 139, 236772, 75669, 236787, 113452, 18326, 6250, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 36257, 5796, 208910, 9519, 1018, 138, 107, 139, 236772, 61242, 236787, 236743, 236778, 236771, 236771, 12286, 138, 107, 139, 236772, 29116, 8351, 4065, 236787, 4524, 3192, 118570, 236764, 3727, 236772, 495, 30927, 236764, 53251, 138, 107, 139, 236772, 75669, 236787, 236743, 242523, 7167, 524, 3097, 3353, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 22186, 37643, 735, 506, 4127, 12308, 573, 2455, 236772, 7669, 14049, 4749, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 21212, 236786, 141329, 12412, 573, 1239, 37643, 568, 584, 2487, 1343, 16121, 67829, 6436, 20625, 138, 107, 236778, 236761, 46071, 14942, 65911, 17253, 568, 236744, 236761, 236759, 1126, 236743, 236819, 236812, 236810, 236770, 236828, 236764, 236743, 236819, 236812, 236810, 236770, 236819, 236768, 573, 4767, 3835, 236881, 138, 107, 236800, 236761, 10703, 11870, 3530, 8351, 5842, 4889, 568, 236744, 236761, 236759, 1126, 3306, 3192, 3661, 11550, 236764, 58351, 29262, 20625, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 21212, 573, 56380, 12209, 6022, 1171, 753, 564, 1202, 531, 1281, 768, 625, 236789, 236751, 2351, 1041, 7715, 236761, 6542, 236764, 1451, 611, 11327, 506, 236743, 236819, 236812, 236810, 236770, 236828, 65911, 3393, 573, 21609, 3835, 236881, 13472, 236764, 1531, 786, 1281, 768, 901, 735, 3306, 3192, 56227, 2487, 653, 768, 564, 1202, 531, 3437, 1041, 1852, 753, 564, 236789, 236757, 6995, 496, 14361, 236772, 68122, 2197, 91624, 532, 1461, 531, 1386, 2889, 506, 19573, 740, 25430, 2005, 3661, 11550, 573, 236743, 236770, 236771, 236771, 105565, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 12363, 236779, 547, 1083, 623, 7828, 236917, 236779, 236819, 236812, 236810, 236770, 236828, 236779, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 1505, 17885, 12209, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 56380, 236764, 8253, 236743, 236819, 236812, 236810, 236770, 236828, 827, 623, 9707, 236779, 8572, 1083, 6610, 9873, 827, 623, 22860, 1236, 1083, 11058, 93420, 8848, 827, 623, 232832, 4866, 2433, 827, 623, 81234, 34034, 14255, 623, 56905, 1083, 623, 9020, 524, 38025, 1186, 827, 623, 2074, 236779, 48578, 1083, 236743, 236770, 236810, 236771, 1263, 3714, 12363, 236779, 547, 1083, 623, 7828, 236917, 236779, 236819, 236812, 236810, 236770, 236828, 236779, 236771, 236771, 236832, 827, 623, 1201, 1083, 623, 202880, 9519, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 16351, 236764, 56380, 236764, 8253, 236743, 236819, 236812, 236810, 236770, 236828, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 22860, 1236, 1083, 11058, 62473, 8351, 827, 623, 236758, 48381, 6310, 827, 623, 1111, 536, 12660, 14255, 623, 56905, 1083, 623, 21550, 7672, 236772, 48049, 827, 623, 2074, 236779, 48578, 1083, 236743, 236770, 236778, 236771, 1263, 3714, 12363, 236779, 547, 1083, 623, 7828, 236917, 236779, 236819, 236812, 236810, 236770, 236828, 236779, 236771, 236770, 236812, 827, 623, 1201, 1083, 623, 236798, 1950, 754, 76645, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 33518, 18977, 236764, 56380, 236764, 8253, 236743, 236819, 236812, 236810, 236770, 236828, 827, 623, 9707, 236779, 8572, 1083, 6610, 9873, 122317, 623, 22860, 1236, 1083, 11058, 10602, 236772, 8114, 52724, 827, 623, 192647, 2509, 827, 623, 20156, 236772, 39699, 5842, 14255, 623, 56905, 1083, 623, 9020, 524, 1343, 236743, 236778, 236771, 236778, 236812, 827, 623, 2074, 236779, 48578, 1083, 236743, 236778, 236771, 236771, 104960, 623, 2305, 236779, 21052, 1083, 3714, 15905, 236779, 3970, 1083, 623, 236819, 236812, 236810, 236770, 236828, 827, 623, 13319, 1083, 623, 1505, 17885, 827, 623, 3255, 1083, 623, 5635, 827, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 4423, 3192, 236779, 3842, 236779, 56905, 236779, 14210, 1083, 623, 11431, 19573, 5467, 573, 37358, 5842, 45174, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 236787, 108, 1018, 236770, 236761, 79913, 573, 56380, 12209, 6022, 568, 236819, 236812, 236810, 236778, 236771, 1473, 1018, 138, 107, 818, 9299, 3072, 3782, 236789, 236745, 3204, 14481, 21212, 4889, 573, 672, 19573, 236761, 3153, 236764, 2721, 580, 33772, 607, 3361, 37643, 528, 506, 2433, 236764, 2414, 6224, 4547, 528, 506, 5213, 236795, 4624, 9873, 236795, 2644, 1018, 568, 114292, 531, 13671, 21212, 769, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236772, 7179, 768, 16121, 67829, 815, 37731, 1262, 1343, 2165, 828, 52748, 2003, 12485, 236779, 22164, 236929, 573, 919, 4867, 19317, 236881, 138, 107, 236772, 59336, 3662, 4615, 531, 68256, 5467, 1003, 6224, 236881, 108, 1018, 236778, 236761, 71887, 28636, 528, 65911, 236743, 236819, 236812, 236810, 236770, 236828, 53121, 138, 107, 236772, 5213, 202880, 9519, 1018, 568, 236770, 236778, 236771, 236772, 48578, 236764, 18666, 1473, 29116, 8351, 607, 77155, 6310, 236764, 2487, 7672, 236772, 48049, 138, 107, 236772, 5213, 236798, 1950, 754, 76645, 1018, 568, 236778, 236771, 236771, 236772, 48578, 236764, 234956, 2500, 35929, 1343, 236743, 236778, 236771, 236778, 236812, 1473, 10456, 236772, 8114, 52724, 8848, 138, 107, 236772, 5213, 1505, 17885, 12209, 6022, 1018, 568, 236770, 236810, 236771, 236772, 48578, 236764, 234956, 1473, 28257, 531, 506, 236743, 236819, 236812, 236810, 236778, 236771, 4563, 840, 607, 11690, 34034, 2802, 138, 108, 1018, 236800, 236761, 4524, 3192, 29187, 75669, 53121, 138, 107, 818, 9299, 3072, 10916, 8687, 236787, 165996, 11431, 19573, 5467, 573, 37358, 5842, 45174, 1781, 236829, 138, 107, 236777, 5840, 17154, 855, 531, 1546, 19573, 531, 236787, 138, 107, 236772, 64063, 15830, 529, 2455, 3306, 3192, 56227, 568, 236770, 236771, 236771, 236772, 102487, 6541, 236768, 138, 107, 236772, 799, 16082, 1003, 58351, 108124, 573, 11690, 14049, 138, 107, 236772, 7179, 768, 901, 2174, 3577, 5842, 6310, 1913, 4749, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43550, 496, 3662, 1694, 607, 19573, 4889, 573, 1500, 236772, 1048, 236881, 138, 107, 236778, 236761, 6890, 2165, 828, 52748, 2003, 12485, 236779, 22164, 236929, 531, 2426, 3670, 37731, 1262, 573, 7715, 6995, 236881, 138, 107, 236800, 236761, 46071, 12425, 236772, 5140, 34369, 2101, 56380, 236789, 236751, 3207, 3988, 573, 4767, 3835, 236881, 138, 108, 6481, 786, 1281, 822, 13546, 2148, 6555, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 4875, 531, 1502, 614, 3489, 1960, 11010, 1041, 31412, 591, 41703, 532, 26135, 104568, 236761, 564, 1537, 236789, 236745, 735, 1027, 20446, 2707, 236764, 840, 564, 1461, 531, 2619, 496, 4456, 531, 32545, 1041, 23642, 532, 1769, 10400, 236761, 3199, 611, 1601, 786, 1586, 1070, 52766, 5405, 531, 974, 3931, 236881, 106, 107, 105, 4368, 107, 236777, 6303, 600, 506, 6436, 3847, 659, 10317, 580, 14929, 44362, 1133, 20737, 236764, 9945, 236764, 532, 59107, 236764, 837, 1660, 20446, 4654, 236761, 5612, 611, 6950, 611, 735, 5213, 1904, 20446, 2707, 125546, 1239, 6436, 10369, 236789, 236745, 577, 506, 1447, 4691, 573, 822, 3548, 237028, 21125, 496, 4456, 573, 822, 591, 4936, 1960, 11082, 4038, 236789, 236745, 1660, 5712, 3393, 236888, 103453, 108, 40725, 236764, 564, 5840, 1699, 5213, 1904, 236772, 3970, 4456, 50067, 1018, 5402, 573, 1944, 8634, 236761, 3143, 14175, 1531, 611, 2619, 5707, 17909, 607, 13161, 236772, 624, 236772, 8658, 6436, 236764, 877, 236772, 12901, 23693, 236764, 532, 5284, 236772, 495, 545, 236772, 25351, 4065, 568, 5282, 7548, 8487, 532, 1900, 3997, 769, 5715, 659, 1070, 52766, 236772, 18865, 3835, 236787, 108, 236772, 5213, 22527, 1891, 66515, 26079, 573, 11010, 5663, 3211, 568, 5282, 104568, 769, 1030, 19171, 13192, 236764, 12631, 236764, 532, 18241, 236761, 8732, 1944, 86396, 695, 1161, 625, 236888, 107, 236772, 5213, 236824, 1205, 66515, 16707, 2430, 236772, 18865, 607, 61537, 236772, 68122, 23693, 236761, 1599, 740, 1138, 496, 623, 22527, 236775, 3336, 5583, 236761, 107, 236772, 5213, 142612, 6046, 66515, 8098, 573, 40878, 35745, 7088, 568, 63914, 573, 58442, 822, 591, 41703, 607, 4148, 6704, 769, 108, 9208, 14175, 3187, 2729, 2196, 17783, 653, 2708, 236772, 13769, 6614, 531, 974, 3931, 236761, 21284, 611, 1133, 786, 531, 4024, 2918, 236772, 2003, 236772, 9340, 14984, 580, 6514, 872, 496, 7805, 580, 886, 529, 1239, 14175, 236881, 2408, 1093, 611, 5278, 11221, 573, 16890, 506, 1791, 5058, 573, 822, 3548, 236881, 3792, 786, 1281, 236888, 236743, 250046, 239794, 106, 107, 105, 2364, 107, 12932, 236764, 564, 3782, 236789, 236745, 13808, 600, 236761, 564, 3305, 564, 4354, 531, 3449, 1070, 20446, 236761, 3199, 611, 1586, 52766, 20737, 52379, 573, 786, 236881, 564, 1461, 531, 1386, 1041, 4456, 919, 21931, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 44195, 97372, 573, 159088, 827, 623, 7777, 1083, 623, 30354, 506, 52669, 529, 20737, 2440, 7016, 236764, 1262, 4458, 236764, 532, 2256, 9108, 10498, 623, 69518, 1083, 623, 206829, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 2092, 236772, 159836, 23179, 3714, 3250, 1083, 623, 25053, 172891, 74642, 827, 623, 7777, 1083, 623, 3910, 531, 12740, 607, 16167, 4820, 1699, 20737, 531, 2619, 10795, 4108, 7704, 10498, 623, 69518, 1083, 623, 206829, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3748, 236772, 120649, 2294, 23179, 3714, 3250, 1083, 623, 3500, 71107, 528, 20737, 827, 623, 7777, 1083, 623, 76066, 4749, 532, 1217, 531, 8932, 531, 2430, 12969, 580, 822, 4456, 10498, 623, 69518, 1083, 623, 206829, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5106, 236772, 70886, 23179, 3714, 3250, 1083, 623, 22660, 531, 21005, 236825, 236862, 25772, 827, 623, 7777, 1083, 623, 32899, 20737, 4065, 1133, 14290, 5151, 236764, 7930, 94695, 236764, 532, 3427, 48705, 10498, 623, 69518, 1083, 623, 109771, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 507, 236825, 236772, 16518, 236775, 165075, 106, 107, 105, 4368, 107, 236777, 1765, 1070, 52766, 20737, 52379, 573, 611, 236888, 5715, 659, 506, 1903, 2536, 236787, 108, 236770, 236761, 5213, 236840, 44195, 97372, 573, 159088, 5457, 2574, 1411, 8358, 236761, 854, 236786, 2092, 236772, 159836, 62902, 138, 107, 139, 6654, 1121, 52669, 1133, 7016, 236764, 1262, 4458, 236764, 532, 2256, 9108, 236761, 108, 236778, 236761, 5213, 236840, 25053, 172891, 74642, 5457, 2574, 1411, 8358, 236761, 854, 236786, 3748, 236772, 120649, 2294, 62902, 138, 107, 139, 30354, 1217, 531, 12740, 607, 16167, 4820, 531, 2619, 10795, 4108, 7704, 236761, 108, 236800, 236761, 5213, 236840, 3500, 71107, 528, 20737, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5106, 236772, 70886, 62902, 138, 107, 139, 141198, 1217, 531, 8932, 531, 2430, 12969, 568, 236744, 236761, 236759, 1126, 4309, 44495, 236764, 1183, 53241, 769, 108, 195096, 5213, 71122, 5433, 573, 822, 591, 4936, 1960, 66515, 138, 107, 8409, 1239, 52379, 659, 1822, 573, 4735, 20737, 236764, 5213, 7624, 1537, 236858, 236745, 1202, 531, 3393, 531, 2016, 614, 21931, 4456, 573, 822, 61537, 84750, 7660, 951, 236772, 3970, 14175, 568, 5282, 103156, 236764, 186438, 236764, 653, 169711, 6046, 236768, 3016, 3204, 5284, 236772, 495, 6436, 573, 236787, 107, 236772, 44712, 3662, 6667, 107, 236772, 42670, 1698, 54828, 107, 236772, 233793, 13192, 107, 236772, 37641, 10400, 108, 9208, 14175, 1531, 611, 13161, 236772, 624, 236772, 8658, 21931, 4820, 5213, 31048, 5712, 1027, 3393, 84750, 1701, 2591, 236787, 107, 236772, 186438, 815, 496, 623, 97500, 978, 236775, 7930, 607, 877, 236772, 25089, 10458, 573, 23642, 532, 24121, 236761, 107, 236772, 103156, 19518, 611, 1138, 496, 623, 27015, 4224, 236775, 4309, 607, 1164, 496, 2321, 44495, 236761, 108, 38786, 611, 1133, 786, 531, 8214, 611, 1343, 6514, 872, 496, 5707, 61537, 4456, 1699, 886, 529, 1239, 951, 236772, 3970, 6436, 236881, 1030, 236858, 859, 577, 11442, 236764, 34303, 236764, 532, 919, 10231, 573, 822, 1960, 236888, 236743, 248018, 239794, 106, 107, 105, 2364, 107, 12932, 236764, 564, 1460, 236761, 2024, 564, 1537, 236789, 236745, 3050, 506, 52379, 236761, 564, 1164, 1461, 531, 1138, 496, 4309, 600, 3189, 623, 9067, 3551, 1700, 41703, 236775, 531, 1041, 4456, 236761, 3199, 611, 1586, 496, 52766, 17945, 573, 600, 236881, 106, 107, 105, 4368, 107, 3048, 1537, 236789, 236745, 1202, 20737, 653, 20446, 531, 1138, 496, 4309, 531, 822, 4456, 236888, 2301, 236772, 3970, 14175, 1133, 5213, 236824, 1205, 125546, 5213, 142612, 6046, 125546, 653, 5213, 22527, 1891, 1018, 1531, 611, 776, 672, 607, 3606, 13161, 236772, 624, 236772, 8658, 6436, 236761, 5715, 236789, 236751, 1217, 236787, 108, 10354, 236743, 250176, 5213, 5471, 236772, 2003, 236772, 5471, 15308, 573, 44712, 496, 13796, 568, 3771, 82032, 15520, 1018, 107, 236770, 236761, 5213, 236824, 1205, 66515, 107, 139, 236772, 7607, 822, 186438, 7922, 16130, 11738, 623, 3218, 236775, 16130, 23399, 623, 3036, 236775, 699, 506, 6831, 236761, 107, 139, 236772, 36788, 506, 4309, 531, 822, 3104, 16130, 11738, 625, 531, 12287, 1816, 16130, 9250, 623, 9067, 3551, 1700, 41703, 3056, 107, 139, 236772, 5833, 506, 4309, 531, 3205, 531, 822, 3662, 1183, 653, 1698, 3104, 568, 1904, 3393, 4354, 769, 108, 236778, 236761, 5213, 22527, 1891, 66515, 107, 139, 236772, 3764, 531, 822, 103156, 36112, 16130, 5213, 31335, 13516, 16130, 137944, 16130, 116126, 84750, 107, 139, 236772, 11738, 623, 3218, 3336, 236775, 16130, 13466, 623, 3036, 236775, 16130, 9250, 623, 9067, 3551, 1700, 41703, 236775, 618, 506, 1816, 236761, 107, 139, 236772, 10297, 625, 531, 822, 42290, 3104, 653, 496, 3662, 1183, 568, 712, 3028, 4323, 7426, 7922, 769, 108, 236800, 236761, 5213, 142612, 6046, 66515, 107, 139, 236772, 799, 506, 7922, 16130, 11738, 165970, 16130, 4140, 496, 623, 3036, 16110, 3056, 107, 139, 236772, 27162, 506, 1816, 531, 623, 9067, 3551, 1700, 41703, 236775, 16130, 10297, 625, 531, 822, 1900, 3104, 236761, 108, 9208, 14175, 735, 5213, 1734, 236772, 25089, 23693, 573, 86396, 695, 1018, 607, 623, 9067, 4224, 236775, 16893, 3016, 5012, 236761, 1599, 740, 38065, 1091, 528, 4310, 2180, 5712, 496, 3161, 1757, 529, 3393, 236888, 236743, 242909, 108, 38786, 611, 1133, 786, 531, 3727, 611, 1343, 6514, 872, 496, 2587, 61537, 4456, 580, 886, 529, 1239, 14175, 236881, 1030, 236858, 236751, 2393, 3735, 532, 2196, 531, 1502, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 4875, 531, 1502, 614, 3489, 1960, 11010, 1041, 31412, 591, 41703, 532, 26135, 104568, 236761, 564, 1537, 236789, 236745, 735, 1027, 20446, 2707, 236764, 840, 564, 1461, 531, 2619, 496, 4456, 531, 32545, 1041, 23642, 532, 1769, 10400, 236761, 3199, 611, 1601, 786, 1586, 1070, 52766, 5405, 531, 974, 3931, 236881, 106, 107, 105, 4368, 107, 236777, 6303, 600, 506, 6436, 3847, 659, 10317, 580, 14929, 44362, 1133, 20737, 236764, 9945, 236764, 532, 59107, 236764, 837, 1660, 20446, 4654, 236761, 5612, 611, 6950, 611, 735, 5213, 1904, 20446, 2707, 125546, 1239, 6436, 10369, 236789, 236745, 577, 506, 1447, 4691, 573, 822, 3548, 237028, 21125, 496, 4456, 573, 822, 591, 4936, 1960, 11082, 4038, 236789, 236745, 1660, 5712, 3393, 236888, 103453, 108, 40725, 236764, 564, 5840, 1699, 5213, 1904, 236772, 3970, 4456, 50067, 1018, 5402, 573, 1944, 8634, 236761, 3143, 14175, 1531, 611, 2619, 5707, 17909, 607, 13161, 236772, 624, 236772, 8658, 6436, 236764, 877, 236772, 12901, 23693, 236764, 532, 5284, 236772, 495, 545, 236772, 25351, 4065, 568, 5282, 7548, 8487, 532, 1900, 3997, 769, 5715, 659, 1070, 52766, 236772, 18865, 3835, 236787, 108, 236772, 5213, 22527, 1891, 66515, 26079, 573, 11010, 5663, 3211, 568, 5282, 104568, 769, 1030, 19171, 13192, 236764, 12631, 236764, 532, 18241, 236761, 8732, 1944, 86396, 695, 1161, 625, 236888, 107, 236772, 5213, 236824, 1205, 66515, 16707, 2430, 236772, 18865, 607, 61537, 236772, 68122, 23693, 236761, 1599, 740, 1138, 496, 623, 22527, 236775, 3336, 5583, 236761, 107, 236772, 5213, 142612, 6046, 66515, 8098, 573, 40878, 35745, 7088, 568, 63914, 573, 58442, 822, 591, 41703, 607, 4148, 6704, 769, 108, 9208, 14175, 3187, 2729, 2196, 17783, 653, 2708, 236772, 13769, 6614, 531, 974, 3931, 236761, 21284, 611, 1133, 786, 531, 4024, 2918, 236772, 2003, 236772, 9340, 14984, 580, 6514, 872, 496, 7805, 580, 886, 529, 1239, 14175, 236881, 2408, 1093, 611, 5278, 11221, 573, 16890, 506, 1791, 5058, 573, 822, 3548, 236881, 3792, 786, 1281, 236888, 236743, 250046, 239794, 106, 107, 105, 2364, 107, 12932, 236764, 564, 3782, 236789, 236745, 13808, 600, 236761, 564, 3305, 564, 4354, 531, 3449, 1070, 20446, 236761, 3199, 611, 1586, 52766, 20737, 52379, 573, 786, 236881, 564, 1461, 531, 1386, 1041, 4456, 919, 21931, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 44195, 97372, 573, 159088, 827, 623, 7777, 1083, 623, 30354, 506, 52669, 529, 20737, 2440, 7016, 236764, 1262, 4458, 236764, 532, 2256, 9108, 10498, 623, 69518, 1083, 623, 206829, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 2092, 236772, 159836, 23179, 3714, 3250, 1083, 623, 25053, 172891, 74642, 827, 623, 7777, 1083, 623, 3910, 531, 12740, 607, 16167, 4820, 1699, 20737, 531, 2619, 10795, 4108, 7704, 10498, 623, 69518, 1083, 623, 206829, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3748, 236772, 120649, 2294, 23179, 3714, 3250, 1083, 623, 3500, 71107, 528, 20737, 827, 623, 7777, 1083, 623, 76066, 4749, 532, 1217, 531, 8932, 531, 2430, 12969, 580, 822, 4456, 10498, 623, 69518, 1083, 623, 206829, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5106, 236772, 70886, 23179, 3714, 3250, 1083, 623, 22660, 531, 21005, 236825, 236862, 25772, 827, 623, 7777, 1083, 623, 32899, 20737, 4065, 1133, 14290, 5151, 236764, 7930, 94695, 236764, 532, 3427, 48705, 10498, 623, 69518, 1083, 623, 109771, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 507, 236825, 236772, 16518, 236775, 165075, 106, 107, 105, 4368, 107, 236777, 1765, 1070, 52766, 20737, 52379, 573, 611, 236888, 5715, 659, 506, 1903, 2536, 236787, 108, 236770, 236761, 5213, 236840, 44195, 97372, 573, 159088, 5457, 2574, 1411, 8358, 236761, 854, 236786, 2092, 236772, 159836, 62902, 138, 107, 139, 6654, 1121, 52669, 1133, 7016, 236764, 1262, 4458, 236764, 532, 2256, 9108, 236761, 108, 236778, 236761, 5213, 236840, 25053, 172891, 74642, 5457, 2574, 1411, 8358, 236761, 854, 236786, 3748, 236772, 120649, 2294, 62902, 138, 107, 139, 30354, 1217, 531, 12740, 607, 16167, 4820, 531, 2619, 10795, 4108, 7704, 236761, 108, 236800, 236761, 5213, 236840, 3500, 71107, 528, 20737, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5106, 236772, 70886, 62902, 138, 107, 139, 141198, 1217, 531, 8932, 531, 2430, 12969, 568, 236744, 236761, 236759, 1126, 4309, 44495, 236764, 1183, 53241, 769, 108, 195096, 5213, 71122, 5433, 573, 822, 591, 4936, 1960, 66515, 138, 107, 8409, 1239, 52379, 659, 1822, 573, 4735, 20737, 236764, 5213, 7624, 1537, 236858, 236745, 1202, 531, 3393, 531, 2016, 614, 21931, 4456, 573, 822, 61537, 84750, 7660, 951, 236772, 3970, 14175, 568, 5282, 103156, 236764, 186438, 236764, 653, 169711, 6046, 236768, 3016, 3204, 5284, 236772, 495, 6436, 573, 236787, 107, 236772, 44712, 3662, 6667, 107, 236772, 42670, 1698, 54828, 107, 236772, 233793, 13192, 107, 236772, 37641, 10400, 108, 9208, 14175, 1531, 611, 13161, 236772, 624, 236772, 8658, 21931, 4820, 5213, 31048, 5712, 1027, 3393, 84750, 1701, 2591, 236787, 107, 236772, 186438, 815, 496, 623, 97500, 978, 236775, 7930, 607, 877, 236772, 25089, 10458, 573, 23642, 532, 24121, 236761, 107, 236772, 103156, 19518, 611, 1138, 496, 623, 27015, 4224, 236775, 4309, 607, 1164, 496, 2321, 44495, 236761, 108, 38786, 611, 1133, 786, 531, 8214, 611, 1343, 6514, 872, 496, 5707, 61537, 4456, 1699, 886, 529, 1239, 951, 236772, 3970, 6436, 236881, 1030, 236858, 859, 577, 11442, 236764, 34303, 236764, 532, 919, 10231, 573, 822, 1960, 236888, 236743, 248018, 239794, 106, 107, 105, 2364, 107, 12932, 236764, 564, 1460, 236761, 2024, 564, 1537, 236789, 236745, 3050, 506, 52379, 236761, 564, 1164, 1461, 531, 1138, 496, 4309, 600, 3189, 623, 9067, 3551, 1700, 41703, 236775, 531, 1041, 4456, 236761, 3199, 611, 1586, 496, 52766, 17945, 573, 600, 236881, 106, 107, 105, 4368, 107, 3048, 1537, 236789, 236745, 1202, 20737, 653, 20446, 531, 1138, 496, 4309, 531, 822, 4456, 236888, 2301, 236772, 3970, 14175, 1133, 5213, 236824, 1205, 125546, 5213, 142612, 6046, 125546, 653, 5213, 22527, 1891, 1018, 1531, 611, 776, 672, 607, 3606, 13161, 236772, 624, 236772, 8658, 6436, 236761, 5715, 236789, 236751, 1217, 236787, 108, 10354, 236743, 250176, 5213, 5471, 236772, 2003, 236772, 5471, 15308, 573, 44712, 496, 13796, 568, 3771, 82032, 15520, 1018, 107, 236770, 236761, 5213, 236824, 1205, 66515, 107, 139, 236772, 7607, 822, 186438, 7922, 16130, 11738, 623, 3218, 236775, 16130, 23399, 623, 3036, 236775, 699, 506, 6831, 236761, 107, 139, 236772, 36788, 506, 4309, 531, 822, 3104, 16130, 11738, 625, 531, 12287, 1816, 16130, 9250, 623, 9067, 3551, 1700, 41703, 3056, 107, 139, 236772, 5833, 506, 4309, 531, 3205, 531, 822, 3662, 1183, 653, 1698, 3104, 568, 1904, 3393, 4354, 769, 108, 236778, 236761, 5213, 22527, 1891, 66515, 107, 139, 236772, 3764, 531, 822, 103156, 36112, 16130, 5213, 31335, 13516, 16130, 137944, 16130, 116126, 84750, 107, 139, 236772, 11738, 623, 3218, 3336, 236775, 16130, 13466, 623, 3036, 236775, 16130, 9250, 623, 9067, 3551, 1700, 41703, 236775, 618, 506, 1816, 236761, 107, 139, 236772, 10297, 625, 531, 822, 42290, 3104, 653, 496, 3662, 1183, 568, 712, 3028, 4323, 7426, 7922, 769, 108, 236800, 236761, 5213, 142612, 6046, 66515, 107, 139, 236772, 799, 506, 7922, 16130, 11738, 165970, 16130, 4140, 496, 623, 3036, 16110, 3056, 107, 139, 236772, 27162, 506, 1816, 531, 623, 9067, 3551, 1700, 41703, 236775, 16130, 10297, 625, 531, 822, 1900, 3104, 236761, 108, 9208, 14175, 735, 5213, 1734, 236772, 25089, 23693, 573, 86396, 695, 1018, 607, 623, 9067, 4224, 236775, 16893, 3016, 5012, 236761, 1599, 740, 38065, 1091, 528, 4310, 2180, 5712, 496, 3161, 1757, 529, 3393, 236888, 236743, 242909, 108, 38786, 611, 1133, 786, 531, 3727, 611, 1343, 6514, 872, 496, 2587, 61537, 4456, 580, 886, 529, 1239, 14175, 236881, 1030, 236858, 236751, 2393, 3735, 532, 2196, 531, 1502, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8487, 1156, 4596, 9413, 573, 496, 52724, 1960, 18766, 2072, 236761, 5315, 236764, 8430, 1816, 699, 614, 43189, 2471, 657, 623, 2574, 1411, 8358, 236761, 854, 236786, 53209, 236770, 236778, 236800, 236761, 4034, 3056, 4298, 236764, 1161, 506, 43189, 1548, 699, 600, 1354, 531, 5675, 496, 1855, 2471, 10739, 528, 672, 6518, 236787, 623, 2574, 1411, 8358, 236761, 854, 236786, 65304, 42154, 1204, 23124, 10067, 236779, 38631, 1619, 4034, 236775, 532, 8430, 1816, 699, 600, 4258, 2354, 2311, 236761, 106, 107, 105, 4368, 107, 2021, 1657, 822, 9413, 236764, 564, 236789, 859, 1202, 822, 4430, 31324, 2307, 532, 496, 4709, 12562, 31744, 236761, 7323, 2847, 236787, 108, 236770, 236761, 5213, 5950, 5853, 66515, 5180, 9299, 31324, 2307, 699, 1601, 236940, 236753, 1087, 551, 9082, 236761, 897, 107, 236778, 236761, 5213, 14505, 66515, 562, 4709, 31744, 573, 672, 12562, 108, 14946, 3847, 236764, 564, 236789, 859, 1171, 8430, 1262, 699, 506, 43189, 236764, 1299, 1161, 1061, 43189, 1548, 531, 1657, 506, 4258, 2354, 236761, 106, 107, 105, 2364, 107, 5950, 5853, 236787, 9837, 236772, 1425, 12445, 131047, 236778, 236771, 236778, 236800, 127396, 236787, 27608, 236772, 236780, 30719, 2850, 236772, 236771, 236812, 236810, 236819, 101685, 607, 1239, 28150, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 143195, 236779, 1005, 1083, 3714, 53209, 236779, 5640, 1083, 623, 127546, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 23717, 1083, 623, 31348, 133806, 77245, 827, 623, 6725, 236779, 13304, 1083, 6610, 236770, 236764, 236778, 236810, 236771, 236761, 236832, 236810, 827, 623, 1896, 236779, 106402, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 23179, 623, 65448, 236779, 1516, 1083, 3714, 1257, 236779, 7633, 1083, 78493, 7777, 1083, 623, 236780, 140235, 29187, 79671, 827, 623, 13304, 1083, 6610, 236828, 236771, 236771, 236761, 236771, 236771, 23179, 3714, 7777, 1083, 623, 107332, 80225, 827, 623, 13304, 1083, 6610, 236812, 236810, 236771, 236761, 236832, 236810, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 143114, 171528, 24547, 236785, 236749, 69572, 9661, 236787, 211292, 236772, 236770, 236778, 236800, 236812, 236810, 236785, 236749, 4098, 236787, 34050, 133806, 236785, 236749, 9640, 27409, 236787, 609, 236828, 236764, 236778, 236810, 236771, 236761, 236771, 236771, 236785, 236749, 3682, 62432, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 65448, 236779, 1516, 1083, 3714, 53209, 236779, 5640, 1083, 623, 127546, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 8114, 236779, 2084, 1083, 623, 96708, 133806, 827, 623, 6725, 236779, 13304, 1083, 6610, 236828, 236764, 236778, 236810, 236771, 236761, 236771, 236771, 827, 623, 19648, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 18761, 1938, 699, 1800, 9413, 236787, 108, 1018, 1204, 23124, 10067, 113101, 1018, 138, 107, 236772, 5213, 69572, 9661, 66515, 211292, 236772, 236770, 236778, 236800, 236812, 236810, 138, 107, 236772, 5213, 95204, 66515, 21593, 133806, 77245, 138, 107, 236772, 5213, 9640, 27409, 66515, 609, 236770, 236764, 236778, 236810, 236771, 236761, 236832, 236810, 138, 107, 236772, 5213, 3682, 167248, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 138, 107, 236772, 5213, 4539, 40276, 66515, 138, 107, 138, 236772, 133806, 29187, 79671, 236787, 609, 236828, 236771, 236771, 236761, 236771, 236771, 138, 107, 138, 236772, 32173, 80225, 236787, 609, 236812, 236810, 236771, 236761, 236832, 236810, 138, 108, 1018, 143114, 113101, 1018, 138, 107, 236772, 5213, 69572, 9661, 66515, 211292, 236772, 236770, 236778, 236800, 236812, 236810, 568, 21903, 531, 43189, 236768, 138, 107, 236772, 5213, 4098, 9250, 66515, 34050, 133806, 138, 107, 236772, 5213, 9640, 27409, 66515, 609, 236828, 236764, 236778, 236810, 236771, 236761, 236771, 236771, 138, 107, 236772, 5213, 21372, 6809, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 138, 108, 22186, 9413, 735, 1010, 10428, 18761, 236761, 669, 4258, 2354, 691, 11269, 5628, 1699, 506, 43189, 1548, 699, 506, 1171, 23680, 236761, 21284, 611, 1133, 786, 531, 18840, 653, 6518, 672, 1262, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8487, 1156, 4596, 9413, 573, 496, 52724, 1960, 18766, 2072, 236761, 5315, 236764, 8430, 1816, 699, 614, 43189, 2471, 657, 623, 2574, 1411, 8358, 236761, 854, 236786, 53209, 236770, 236778, 236800, 236761, 4034, 3056, 4298, 236764, 1161, 506, 43189, 1548, 699, 600, 1354, 531, 5675, 496, 1855, 2471, 10739, 528, 672, 6518, 236787, 623, 2574, 1411, 8358, 236761, 854, 236786, 65304, 42154, 1204, 23124, 10067, 236779, 38631, 1619, 4034, 236775, 532, 8430, 1816, 699, 600, 4258, 2354, 2311, 236761, 106, 107, 105, 4368, 107, 2021, 1657, 822, 9413, 236764, 564, 236789, 859, 1202, 822, 4430, 31324, 2307, 532, 496, 4709, 12562, 31744, 236761, 7323, 2847, 236787, 108, 236770, 236761, 5213, 5950, 5853, 66515, 5180, 9299, 31324, 2307, 699, 1601, 236940, 236753, 1087, 551, 9082, 236761, 897, 107, 236778, 236761, 5213, 14505, 66515, 562, 4709, 31744, 573, 672, 12562, 108, 14946, 3847, 236764, 564, 236789, 859, 1171, 8430, 1262, 699, 506, 43189, 236764, 1299, 1161, 1061, 43189, 1548, 531, 1657, 506, 4258, 2354, 236761, 106, 107, 105, 2364, 107, 5950, 5853, 236787, 9837, 236772, 1425, 12445, 131047, 236778, 236771, 236778, 236800, 127396, 236787, 27608, 236772, 236780, 30719, 2850, 236772, 236771, 236812, 236810, 236819, 101685, 607, 1239, 28150, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 143195, 236779, 1005, 1083, 3714, 53209, 236779, 5640, 1083, 623, 127546, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 23717, 1083, 623, 31348, 133806, 77245, 827, 623, 6725, 236779, 13304, 1083, 6610, 236770, 236764, 236778, 236810, 236771, 236761, 236832, 236810, 827, 623, 1896, 236779, 106402, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 23179, 623, 65448, 236779, 1516, 1083, 3714, 1257, 236779, 7633, 1083, 78493, 7777, 1083, 623, 236780, 140235, 29187, 79671, 827, 623, 13304, 1083, 6610, 236828, 236771, 236771, 236761, 236771, 236771, 23179, 3714, 7777, 1083, 623, 107332, 80225, 827, 623, 13304, 1083, 6610, 236812, 236810, 236771, 236761, 236832, 236810, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 143114, 171528, 24547, 236785, 236749, 69572, 9661, 236787, 211292, 236772, 236770, 236778, 236800, 236812, 236810, 236785, 236749, 4098, 236787, 34050, 133806, 236785, 236749, 9640, 27409, 236787, 609, 236828, 236764, 236778, 236810, 236771, 236761, 236771, 236771, 236785, 236749, 3682, 62432, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 65448, 236779, 1516, 1083, 3714, 53209, 236779, 5640, 1083, 623, 127546, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 8114, 236779, 2084, 1083, 623, 96708, 133806, 827, 623, 6725, 236779, 13304, 1083, 6610, 236828, 236764, 236778, 236810, 236771, 236761, 236771, 236771, 827, 623, 19648, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 18761, 1938, 699, 1800, 9413, 236787, 108, 1018, 1204, 23124, 10067, 113101, 1018, 138, 107, 236772, 5213, 69572, 9661, 66515, 211292, 236772, 236770, 236778, 236800, 236812, 236810, 138, 107, 236772, 5213, 95204, 66515, 21593, 133806, 77245, 138, 107, 236772, 5213, 9640, 27409, 66515, 609, 236770, 236764, 236778, 236810, 236771, 236761, 236832, 236810, 138, 107, 236772, 5213, 3682, 167248, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 138, 107, 236772, 5213, 4539, 40276, 66515, 138, 107, 138, 236772, 133806, 29187, 79671, 236787, 609, 236828, 236771, 236771, 236761, 236771, 236771, 138, 107, 138, 236772, 32173, 80225, 236787, 609, 236812, 236810, 236771, 236761, 236832, 236810, 138, 108, 1018, 143114, 113101, 1018, 138, 107, 236772, 5213, 69572, 9661, 66515, 211292, 236772, 236770, 236778, 236800, 236812, 236810, 568, 21903, 531, 43189, 236768, 138, 107, 236772, 5213, 4098, 9250, 66515, 34050, 133806, 138, 107, 236772, 5213, 9640, 27409, 66515, 609, 236828, 236764, 236778, 236810, 236771, 236761, 236771, 236771, 138, 107, 236772, 5213, 21372, 6809, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 138, 108, 22186, 9413, 735, 1010, 10428, 18761, 236761, 669, 4258, 2354, 691, 11269, 5628, 1699, 506, 43189, 1548, 699, 506, 1171, 23680, 236761, 21284, 611, 1133, 786, 531, 18840, 653, 6518, 672, 1262, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1586, 1070, 614, 19732, 1940, 15003, 573, 1041, 7972, 236761, 564, 5630, 9333, 1091, 3489, 3622, 236764, 840, 564, 236789, 236757, 711, 2889, 837, 5500, 531, 974, 236761, 28344, 611, 1385, 1091, 872, 580, 9593, 532, 1460, 1144, 3835, 659, 2487, 236881, 564, 236789, 236753, 2126, 14756, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 2267, 19732, 1940, 45539, 107693, 81050, 753, 236743, 236770, 236771, 13079, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 66850, 1083, 236743, 236778, 236800, 236812, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 123369, 107693, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 23179, 3714, 3250, 1083, 623, 128280, 60472, 18369, 136097, 81050, 753, 236743, 236810, 13079, 827, 623, 9707, 1083, 6610, 236828, 236761, 236810, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 66850, 1083, 236743, 236770, 236770, 236778, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 128280, 236772, 102344, 236772, 2267, 19732, 1940, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236810, 236825, 236832, 236828, 23179, 3714, 3250, 1083, 623, 2267, 19732, 1940, 148578, 4288, 162530, 50275, 15806, 753, 15097, 44812, 827, 623, 9707, 1083, 6610, 236770, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236828, 236819, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 236773, 5607, 4288, 162530, 236772, 83385, 236772, 22883, 236772, 28898, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236819, 236771, 236770, 236778, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236828, 236819, 236764, 623, 2305, 236779, 3278, 1083, 623, 18070, 136097, 15003, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1903, 3835, 573, 614, 19732, 1940, 15003, 5633, 2487, 580, 9593, 236787, 108, 236770, 236761, 5213, 2267, 19732, 1940, 45539, 107693, 81050, 753, 236743, 236770, 236771, 13079, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236810, 568, 236778, 236800, 236812, 10595, 236768, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 123369, 107693, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236778, 236761, 5213, 128280, 60472, 18369, 136097, 81050, 753, 236743, 236810, 13079, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236778, 568, 236770, 236770, 236778, 10595, 236768, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 128280, 236772, 102344, 236772, 2267, 19732, 1940, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236810, 236825, 236832, 236828, 236768, 138, 108, 236800, 236761, 5213, 2267, 19732, 1940, 148578, 4288, 162530, 50275, 15806, 753, 15097, 44812, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236832, 568, 236828, 236819, 10595, 236768, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 236773, 5607, 4288, 162530, 236772, 83385, 236772, 22883, 236772, 28898, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236819, 236771, 236770, 236778, 236768, 138, 108, 818, 1171, 5086, 563, 506, 1346, 20301, 236764, 1651, 506, 4168, 5469, 3892, 6485, 573, 11442, 3877, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 91240, 1679, 12871, 236888, 236743, 242560, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1586, 1070, 614, 19732, 1940, 15003, 573, 1041, 7972, 236761, 564, 5630, 9333, 1091, 3489, 3622, 236764, 840, 564, 236789, 236757, 711, 2889, 837, 5500, 531, 974, 236761, 28344, 611, 1385, 1091, 872, 580, 9593, 532, 1460, 1144, 3835, 659, 2487, 236881, 564, 236789, 236753, 2126, 14756, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 2267, 19732, 1940, 45539, 107693, 81050, 753, 236743, 236770, 236771, 13079, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 66850, 1083, 236743, 236778, 236800, 236812, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 123369, 107693, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 23179, 3714, 3250, 1083, 623, 128280, 60472, 18369, 136097, 81050, 753, 236743, 236810, 13079, 827, 623, 9707, 1083, 6610, 236828, 236761, 236810, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 66850, 1083, 236743, 236770, 236770, 236778, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 128280, 236772, 102344, 236772, 2267, 19732, 1940, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236810, 236825, 236832, 236828, 23179, 3714, 3250, 1083, 623, 2267, 19732, 1940, 148578, 4288, 162530, 50275, 15806, 753, 15097, 44812, 827, 623, 9707, 1083, 6610, 236770, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236828, 236819, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 236773, 5607, 4288, 162530, 236772, 83385, 236772, 22883, 236772, 28898, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236819, 236771, 236770, 236778, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236828, 236819, 236764, 623, 2305, 236779, 3278, 1083, 623, 18070, 136097, 15003, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1903, 3835, 573, 614, 19732, 1940, 15003, 5633, 2487, 580, 9593, 236787, 108, 236770, 236761, 5213, 2267, 19732, 1940, 45539, 107693, 81050, 753, 236743, 236770, 236771, 13079, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236810, 568, 236778, 236800, 236812, 10595, 236768, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 123369, 107693, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236778, 236761, 5213, 128280, 60472, 18369, 136097, 81050, 753, 236743, 236810, 13079, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236778, 568, 236770, 236770, 236778, 10595, 236768, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 128280, 236772, 102344, 236772, 2267, 19732, 1940, 236772, 222203, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236810, 236825, 236832, 236828, 236768, 138, 108, 236800, 236761, 5213, 2267, 19732, 1940, 148578, 4288, 162530, 50275, 15806, 753, 15097, 44812, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236832, 568, 236828, 236819, 10595, 236768, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 19732, 1940, 236772, 236773, 5607, 4288, 162530, 236772, 83385, 236772, 22883, 236772, 28898, 236786, 19615, 236786, 236799, 236771, 236832, 54283, 236819, 236771, 236770, 236778, 236768, 138, 108, 818, 1171, 5086, 563, 506, 1346, 20301, 236764, 1651, 506, 4168, 5469, 3892, 6485, 573, 11442, 3877, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 91240, 1679, 12871, 236888, 236743, 242560, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 35447, 506, 7384, 7972, 4469, 2460, 532, 1202, 531, 9128, 496, 24564, 236789, 236751, 3662, 4889, 236761, 28344, 611, 5091, 2426, 768, 756, 11608, 1920, 236779, 37540, 236940, 14789, 14654, 236761, 2187, 236789, 563, 496, 4341, 4553, 3421, 236881, 1637, 625, 563, 236764, 1299, 1769, 506, 1463, 756, 182648, 236888, 8943, 17145, 532, 3980, 625, 684, 18828, 1027, 2803, 7579, 236764, 1299, 7352, 625, 531, 67505, 834, 692, 740, 1138, 625, 531, 1023, 15083, 1694, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98394, 236779, 2394, 1083, 623, 182648, 8943, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 623, 11608, 1920, 75358, 25938, 106, 107, 105, 4368, 107, 818, 4553, 3421, 5213, 11608, 1920, 236779, 37540, 236940, 14789, 14654, 236761, 2187, 1018, 563, 4341, 236761, 138, 107, 818, 30734, 532, 67505, 1463, 573, 506, 15083, 1694, 563, 236787, 5213, 11608, 1920, 75358, 84750, 138, 108, 3243, 6555, 7723, 10428, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 35447, 506, 7384, 7972, 4469, 2460, 532, 1202, 531, 9128, 496, 24564, 236789, 236751, 3662, 4889, 236761, 28344, 611, 5091, 2426, 768, 756, 11608, 1920, 236779, 37540, 236940, 14789, 14654, 236761, 2187, 236789, 563, 496, 4341, 4553, 3421, 236881, 1637, 625, 563, 236764, 1299, 1769, 506, 1463, 756, 182648, 236888, 8943, 17145, 532, 3980, 625, 684, 18828, 1027, 2803, 7579, 236764, 1299, 7352, 625, 531, 67505, 834, 692, 740, 1138, 625, 531, 1023, 15083, 1694, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 98394, 236779, 2394, 1083, 623, 182648, 8943, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 623, 11608, 1920, 75358, 25938, 106, 107, 105, 4368, 107, 818, 4553, 3421, 5213, 11608, 1920, 236779, 37540, 236940, 14789, 14654, 236761, 2187, 1018, 563, 4341, 236761, 138, 107, 818, 30734, 532, 67505, 1463, 573, 506, 15083, 1694, 563, 236787, 5213, 11608, 1920, 75358, 84750, 138, 108, 3243, 6555, 7723, 10428, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 66715, 699, 64026, 23979, 236761, 3551, 2260, 5975, 563, 6013, 808, 203460, 532, 233276, 236829, 2148, 236764, 532, 692, 1461, 531, 4526, 496, 3361, 6387, 1308, 1023, 5395, 236761, 28344, 611, 1171, 1586, 496, 6387, 600, 236789, 236751, 21425, 531, 808, 203460, 532, 233276, 236829, 236881, 4298, 236764, 2338, 564, 236789, 236757, 23210, 1217, 625, 236789, 236751, 2760, 528, 7830, 236764, 1451, 611, 974, 506, 7830, 13959, 529, 600, 6387, 236789, 236751, 3822, 236881, 564, 236858, 236753, 2126, 14756, 625, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32596, 236779, 44169, 1083, 78493, 3250, 1083, 623, 66498, 532, 34584, 3092, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236810, 236764, 623, 62644, 1083, 623, 12165, 11629, 827, 623, 7777, 1083, 623, 236776, 3925, 529, 1156, 25715, 67112, 2765, 532, 61269, 14682, 528, 236743, 236770, 236819, 594, 7691, 7591, 221476, 3714, 3250, 1083, 623, 111258, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236825, 236764, 623, 62644, 1083, 623, 106424, 152035, 827, 623, 7777, 1083, 623, 236776, 3184, 3875, 236789, 236751, 3930, 553, 140628, 528, 145361, 236764, 1076, 528, 120164, 7591, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32154, 1083, 623, 82755, 1008, 34584, 19078, 236785, 236756, 236771, 236771, 236744, 236819, 25938, 106, 107, 105, 4368, 107, 818, 6387, 808, 66498, 532, 34584, 3092, 236829, 568, 236770, 236819, 236819, 236810, 236764, 12078, 684, 5164, 11629, 236768, 563, 496, 1822, 4241, 573, 822, 2260, 5975, 236789, 236751, 808, 203460, 532, 233276, 236829, 8699, 236761, 9567, 7830, 3822, 563, 5213, 82755, 1008, 34584, 37713, 84750, 28819, 822, 6387, 3446, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 66715, 699, 64026, 23979, 236761, 3551, 2260, 5975, 563, 6013, 808, 203460, 532, 233276, 236829, 2148, 236764, 532, 692, 1461, 531, 4526, 496, 3361, 6387, 1308, 1023, 5395, 236761, 28344, 611, 1171, 1586, 496, 6387, 600, 236789, 236751, 21425, 531, 808, 203460, 532, 233276, 236829, 236881, 4298, 236764, 2338, 564, 236789, 236757, 23210, 1217, 625, 236789, 236751, 2760, 528, 7830, 236764, 1451, 611, 974, 506, 7830, 13959, 529, 600, 6387, 236789, 236751, 3822, 236881, 564, 236858, 236753, 2126, 14756, 625, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32596, 236779, 44169, 1083, 78493, 3250, 1083, 623, 66498, 532, 34584, 3092, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236810, 236764, 623, 62644, 1083, 623, 12165, 11629, 827, 623, 7777, 1083, 623, 236776, 3925, 529, 1156, 25715, 67112, 2765, 532, 61269, 14682, 528, 236743, 236770, 236819, 594, 7691, 7591, 221476, 3714, 3250, 1083, 623, 111258, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236825, 236764, 623, 62644, 1083, 623, 106424, 152035, 827, 623, 7777, 1083, 623, 236776, 3184, 3875, 236789, 236751, 3930, 553, 140628, 528, 145361, 236764, 1076, 528, 120164, 7591, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32154, 1083, 623, 82755, 1008, 34584, 19078, 236785, 236756, 236771, 236771, 236744, 236819, 25938, 106, 107, 105, 4368, 107, 818, 6387, 808, 66498, 532, 34584, 3092, 236829, 568, 236770, 236819, 236819, 236810, 236764, 12078, 684, 5164, 11629, 236768, 563, 496, 1822, 4241, 573, 822, 2260, 5975, 236789, 236751, 808, 203460, 532, 233276, 236829, 8699, 236761, 9567, 7830, 3822, 563, 5213, 82755, 1008, 34584, 37713, 84750, 28819, 822, 6387, 3446, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 861, 15711, 600, 236789, 236751, 13451, 573, 1041, 3195, 618, 496, 7924, 236772, 26377, 15298, 236761, 3792, 236789, 236751, 1502, 684, 3978, 496, 1694, 529, 784, 1873, 40107, 580, 506, 2436, 607, 9813, 55455, 532, 21212, 236761, 4298, 236764, 1161, 600, 1262, 531, 18840, 837, 4681, 659, 1346, 4913, 528, 22080, 236764, 4285, 19541, 580, 10055, 1972, 236764, 39601, 236764, 532, 28887, 4065, 1208, 609, 236810, 236771, 236771, 236761, 1637, 1027, 2918, 20269, 236764, 1531, 786, 1281, 1217, 611, 236789, 859, 7562, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 1516, 1083, 3714, 4002, 236779, 64924, 1083, 78493, 4368, 1083, 623, 82063, 19494, 562, 236810, 236812, 236743, 236810, 236823, 827, 623, 9707, 1083, 236743, 236812, 236812, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236810, 236771, 236771, 236771, 117203, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236832, 1813, 236786, 62760, 23992, 827, 623, 52213, 1083, 623, 101581, 236772, 5163, 28887, 607, 14349, 1140, 11020, 827, 623, 4971, 1083, 623, 236825, 236761, 236810, 236772, 14490, 165352, 827, 623, 42446, 1083, 623, 1683, 225881, 236743, 236770, 236800, 236828, 236771, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 197088, 827, 623, 236774, 236772, 26637, 827, 623, 1375, 236880, 236774, 827, 623, 164878, 48224, 14255, 623, 153558, 1083, 11058, 17043, 17151, 827, 623, 39460, 827, 623, 188624, 1935, 5237, 3714, 4368, 1083, 623, 19540, 55835, 236743, 236832, 236746, 827, 623, 9707, 1083, 236743, 236812, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236812, 236800, 236828, 236810, 117203, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236832, 1813, 236786, 62760, 23992, 827, 623, 52213, 1083, 623, 49789, 85411, 4033, 607, 12498, 236772, 85869, 827, 623, 4971, 1083, 623, 236825, 236761, 236770, 236772, 14490, 90232, 827, 623, 42446, 1083, 623, 49321, 667, 236778, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 197088, 827, 623, 236774, 236772, 26637, 827, 623, 19540, 41151, 14255, 623, 153558, 1083, 11058, 19540, 13516, 827, 623, 39460, 827, 623, 10206, 1935, 5237, 3714, 4368, 1083, 623, 4906, 20366, 18884, 20200, 236743, 236800, 827, 623, 9707, 1083, 236743, 236778, 236832, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236810, 236810, 236771, 236771, 117203, 607, 236743, 236825, 236832, 236824, 4592, 5536, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236810, 14500, 23992, 827, 623, 52213, 1083, 623, 52213, 236764, 112525, 236764, 7585, 498, 702, 827, 623, 4971, 1083, 623, 236825, 236761, 236832, 236772, 14490, 165352, 827, 623, 42446, 1083, 623, 75971, 45513, 236743, 236832, 236862, 8471, 236743, 236778, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 164878, 48224, 827, 623, 89205, 684, 558, 236772, 26637, 14255, 623, 153558, 1083, 11058, 39460, 827, 623, 4199, 67769, 1935, 5237, 3714, 4368, 1083, 623, 50668, 236743, 236770, 236812, 7952, 827, 623, 9707, 1083, 236743, 236812, 236778, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236778, 236771, 236770, 236828, 117203, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236832, 1813, 236786, 62760, 23992, 827, 623, 52213, 1083, 623, 101581, 236772, 27521, 28887, 827, 623, 4971, 1083, 623, 236812, 236761, 236832, 236772, 14490, 213383, 11876, 827, 623, 42446, 1083, 623, 236776, 236770, 236810, 603, 27589, 20684, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 197088, 827, 623, 1375, 236880, 236774, 827, 623, 236774, 236772, 26637, 827, 623, 3118, 90426, 14255, 623, 153558, 1083, 11058, 31319, 13516, 827, 623, 17043, 17151, 827, 623, 39460, 1935, 1807, 1604, 623, 219389, 236779, 231787, 1083, 3714, 3991, 236779, 72726, 236779, 2003, 236779, 26377, 1083, 11058, 82063, 827, 623, 31319, 827, 623, 19540, 827, 623, 4906, 20366, 14255, 623, 28128, 236779, 9707, 236779, 8572, 1083, 6610, 236800, 236771, 236771, 23278, 236825, 236771, 236771, 827, 623, 1951, 236779, 2149, 98674, 1083, 11058, 82063, 19494, 555, 236778, 236812, 23185, 827, 623, 182788, 236743, 236770, 236812, 59050, 827, 623, 93887, 176651, 236743, 236770, 236771, 18603, 1935, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23104, 236779, 547, 1083, 623, 236751, 17657, 236772, 182895, 236772, 236746, 236810, 236812, 236772, 236810, 236759, 827, 623, 79205, 236779, 134878, 1083, 3714, 95620, 236779, 48578, 1083, 623, 236810, 236771, 236771, 236771, 82854, 827, 623, 7632, 236779, 82033, 1083, 623, 4012, 236825, 236828, 827, 623, 88761, 236779, 16518, 1083, 623, 101581, 236772, 5163, 28887, 236764, 14349, 1140, 11020, 236764, 112525, 1894, 827, 623, 4971, 1083, 623, 236825, 236761, 236810, 236772, 14490, 165352, 236764, 236743, 236770, 236778, 236771, 9320, 16955, 3136, 23179, 623, 93855, 236779, 56905, 1083, 3714, 1387, 20497, 236779, 44384, 1083, 623, 21550, 528, 236743, 236819, 236810, 236908, 529, 10002, 11936, 532, 3489, 29807, 827, 623, 20746, 236779, 102229, 1083, 623, 236810, 236823, 1894, 3418, 784, 3262, 29807, 23179, 623, 86211, 236779, 231787, 1083, 3714, 4002, 236779, 9707, 1083, 6610, 236812, 236778, 236819, 827, 623, 9707, 236779, 15156, 46861, 236779, 5455, 236779, 236825, 236779, 80227, 1083, 6443, 236756, 236771, 236771, 236763, 236770, 236795, 236800, 236771, 827, 623, 117373, 236779, 1071, 236779, 32596, 236779, 11245, 1083, 623, 62006, 173449, 31979, 236743, 236770, 236778, 236908, 3426, 4398, 573, 55455, 23179, 623, 96808, 236779, 28263, 1083, 3714, 95620, 236779, 9524, 236779, 15080, 1083, 623, 8534, 236743, 236800, 528, 5453, 236772, 8572, 9951, 827, 623, 47139, 2109, 236779, 13126, 1083, 623, 114501, 528, 1012, 573, 1813, 236786, 62760, 8047, 827, 623, 88761, 236779, 28611, 1083, 623, 236819, 236828, 236908, 6953, 27215, 528, 11321, 18567, 23179, 623, 2364, 236779, 85038, 567, 236779, 5791, 1083, 3714, 95620, 236779, 21364, 2109, 1083, 623, 5191, 1713, 236743, 236770, 236778, 236772, 13807, 981, 8633, 6035, 827, 623, 47139, 2109, 236779, 21364, 2109, 1083, 623, 181346, 3701, 1702, 573, 7500, 43829, 827, 623, 88761, 236779, 21364, 2109, 1083, 623, 112239, 742, 17042, 528, 13023, 4106, 127096, 106, 107, 105, 4368, 107, 22515, 580, 506, 2436, 1262, 532, 22080, 236772, 15396, 3671, 236764, 1590, 236789, 236751, 506, 25809, 573, 822, 7924, 236772, 26377, 981, 3548, 236787, 108, 1018, 8534, 24067, 236787, 21218, 19494, 562, 236810, 236812, 236743, 236810, 236823, 1018, 107, 236772, 5213, 11280, 66515, 609, 236812, 236778, 236819, 568, 6460, 822, 609, 236810, 236771, 236771, 7715, 236768, 107, 236772, 5213, 94824, 66515, 236743, 236810, 236771, 236771, 236771, 82854, 568, 8534, 236743, 236800, 528, 1012, 236764, 20239, 236743, 236770, 236778, 236772, 13807, 8633, 3548, 236768, 107, 236772, 5213, 38682, 2109, 66515, 10710, 236825, 236828, 14470, 568, 78353, 528, 1012, 236764, 19171, 7500, 43829, 236768, 107, 236772, 5213, 52213, 66515, 42200, 236772, 5163, 607, 236743, 236819, 236828, 236908, 6953, 27215, 568, 67223, 13023, 17042, 236768, 107, 236772, 5213, 51164, 66515, 236743, 236819, 236810, 236908, 36261, 10002, 12606, 108, 1018, 13517, 27717, 28636, 66515, 107, 236770, 236761, 5213, 19540, 55835, 236743, 236832, 236746, 1018, 6131, 236812, 236819, 236819, 236768, 107, 139, 236772, 48823, 236787, 12498, 236772, 85869, 28887, 236764, 10710, 236825, 236832, 14470, 107, 139, 236772, 4786, 236787, 125936, 236743, 236812, 236800, 236828, 236810, 82854, 10055, 107, 139, 107, 236778, 236761, 5213, 4906, 20366, 18884, 20200, 236743, 236800, 1018, 6131, 236778, 236832, 236819, 236768, 107, 139, 236772, 48823, 236787, 236743, 236810, 236810, 236771, 236771, 82854, 10055, 900, 236743, 236825, 236832, 236824, 4592, 5536, 107, 139, 236772, 4786, 236787, 10710, 236825, 236810, 14470, 568, 1933, 14500, 236786, 7632, 6733, 236768, 108, 236800, 236761, 5213, 50668, 236743, 236770, 236812, 7952, 1018, 6131, 236812, 236778, 236819, 236768, 107, 139, 236772, 48823, 236787, 562, 236770, 236810, 20684, 3736, 236764, 21019, 18481, 107, 139, 236772, 4786, 236787, 125936, 236743, 236778, 236771, 236770, 236828, 82854, 10055, 236764, 9862, 236743, 236812, 236761, 236832, 236775, 3034, 108, 1018, 211199, 66515, 669, 21218, 19494, 562, 236810, 236812, 236743, 236810, 236823, 5469, 506, 1791, 7002, 529, 10055, 1972, 236764, 39601, 236764, 532, 28887, 21016, 573, 822, 1161, 1624, 236761, 21284, 611, 1133, 786, 531, 2426, 15903, 236772, 15396, 15663, 528, 22080, 653, 10769, 1027, 1156, 4681, 5467, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 861, 15711, 600, 236789, 236751, 13451, 573, 1041, 3195, 618, 496, 7924, 236772, 26377, 15298, 236761, 3792, 236789, 236751, 1502, 684, 3978, 496, 1694, 529, 784, 1873, 40107, 580, 506, 2436, 607, 9813, 55455, 532, 21212, 236761, 4298, 236764, 1161, 600, 1262, 531, 18840, 837, 4681, 659, 1346, 4913, 528, 22080, 236764, 4285, 19541, 580, 10055, 1972, 236764, 39601, 236764, 532, 28887, 4065, 1208, 609, 236810, 236771, 236771, 236761, 1637, 1027, 2918, 20269, 236764, 1531, 786, 1281, 1217, 611, 236789, 859, 7562, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 1516, 1083, 3714, 4002, 236779, 64924, 1083, 78493, 4368, 1083, 623, 82063, 19494, 562, 236810, 236812, 236743, 236810, 236823, 827, 623, 9707, 1083, 236743, 236812, 236812, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236810, 236771, 236771, 236771, 117203, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236832, 1813, 236786, 62760, 23992, 827, 623, 52213, 1083, 623, 101581, 236772, 5163, 28887, 607, 14349, 1140, 11020, 827, 623, 4971, 1083, 623, 236825, 236761, 236810, 236772, 14490, 165352, 827, 623, 42446, 1083, 623, 1683, 225881, 236743, 236770, 236800, 236828, 236771, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 197088, 827, 623, 236774, 236772, 26637, 827, 623, 1375, 236880, 236774, 827, 623, 164878, 48224, 14255, 623, 153558, 1083, 11058, 17043, 17151, 827, 623, 39460, 827, 623, 188624, 1935, 5237, 3714, 4368, 1083, 623, 19540, 55835, 236743, 236832, 236746, 827, 623, 9707, 1083, 236743, 236812, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236812, 236800, 236828, 236810, 117203, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236832, 1813, 236786, 62760, 23992, 827, 623, 52213, 1083, 623, 49789, 85411, 4033, 607, 12498, 236772, 85869, 827, 623, 4971, 1083, 623, 236825, 236761, 236770, 236772, 14490, 90232, 827, 623, 42446, 1083, 623, 49321, 667, 236778, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 197088, 827, 623, 236774, 236772, 26637, 827, 623, 19540, 41151, 14255, 623, 153558, 1083, 11058, 19540, 13516, 827, 623, 39460, 827, 623, 10206, 1935, 5237, 3714, 4368, 1083, 623, 4906, 20366, 18884, 20200, 236743, 236800, 827, 623, 9707, 1083, 236743, 236778, 236832, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236810, 236810, 236771, 236771, 117203, 607, 236743, 236825, 236832, 236824, 4592, 5536, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236810, 14500, 23992, 827, 623, 52213, 1083, 623, 52213, 236764, 112525, 236764, 7585, 498, 702, 827, 623, 4971, 1083, 623, 236825, 236761, 236832, 236772, 14490, 165352, 827, 623, 42446, 1083, 623, 75971, 45513, 236743, 236832, 236862, 8471, 236743, 236778, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 164878, 48224, 827, 623, 89205, 684, 558, 236772, 26637, 14255, 623, 153558, 1083, 11058, 39460, 827, 623, 4199, 67769, 1935, 5237, 3714, 4368, 1083, 623, 50668, 236743, 236770, 236812, 7952, 827, 623, 9707, 1083, 236743, 236812, 236778, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 134878, 1083, 3714, 95620, 1083, 623, 236778, 236771, 236770, 236828, 117203, 827, 623, 47139, 2109, 1083, 623, 4012, 236825, 236832, 1813, 236786, 62760, 23992, 827, 623, 52213, 1083, 623, 101581, 236772, 27521, 28887, 827, 623, 4971, 1083, 623, 236812, 236761, 236832, 236772, 14490, 213383, 11876, 827, 623, 42446, 1083, 623, 236776, 236770, 236810, 603, 27589, 20684, 23179, 623, 56905, 1083, 3714, 168418, 1083, 11058, 197088, 827, 623, 1375, 236880, 236774, 827, 623, 236774, 236772, 26637, 827, 623, 3118, 90426, 14255, 623, 153558, 1083, 11058, 31319, 13516, 827, 623, 17043, 17151, 827, 623, 39460, 1935, 1807, 1604, 623, 219389, 236779, 231787, 1083, 3714, 3991, 236779, 72726, 236779, 2003, 236779, 26377, 1083, 11058, 82063, 827, 623, 31319, 827, 623, 19540, 827, 623, 4906, 20366, 14255, 623, 28128, 236779, 9707, 236779, 8572, 1083, 6610, 236800, 236771, 236771, 23278, 236825, 236771, 236771, 827, 623, 1951, 236779, 2149, 98674, 1083, 11058, 82063, 19494, 555, 236778, 236812, 23185, 827, 623, 182788, 236743, 236770, 236812, 59050, 827, 623, 93887, 176651, 236743, 236770, 236771, 18603, 1935, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23104, 236779, 547, 1083, 623, 236751, 17657, 236772, 182895, 236772, 236746, 236810, 236812, 236772, 236810, 236759, 827, 623, 79205, 236779, 134878, 1083, 3714, 95620, 236779, 48578, 1083, 623, 236810, 236771, 236771, 236771, 82854, 827, 623, 7632, 236779, 82033, 1083, 623, 4012, 236825, 236828, 827, 623, 88761, 236779, 16518, 1083, 623, 101581, 236772, 5163, 28887, 236764, 14349, 1140, 11020, 236764, 112525, 1894, 827, 623, 4971, 1083, 623, 236825, 236761, 236810, 236772, 14490, 165352, 236764, 236743, 236770, 236778, 236771, 9320, 16955, 3136, 23179, 623, 93855, 236779, 56905, 1083, 3714, 1387, 20497, 236779, 44384, 1083, 623, 21550, 528, 236743, 236819, 236810, 236908, 529, 10002, 11936, 532, 3489, 29807, 827, 623, 20746, 236779, 102229, 1083, 623, 236810, 236823, 1894, 3418, 784, 3262, 29807, 23179, 623, 86211, 236779, 231787, 1083, 3714, 4002, 236779, 9707, 1083, 6610, 236812, 236778, 236819, 827, 623, 9707, 236779, 15156, 46861, 236779, 5455, 236779, 236825, 236779, 80227, 1083, 6443, 236756, 236771, 236771, 236763, 236770, 236795, 236800, 236771, 827, 623, 117373, 236779, 1071, 236779, 32596, 236779, 11245, 1083, 623, 62006, 173449, 31979, 236743, 236770, 236778, 236908, 3426, 4398, 573, 55455, 23179, 623, 96808, 236779, 28263, 1083, 3714, 95620, 236779, 9524, 236779, 15080, 1083, 623, 8534, 236743, 236800, 528, 5453, 236772, 8572, 9951, 827, 623, 47139, 2109, 236779, 13126, 1083, 623, 114501, 528, 1012, 573, 1813, 236786, 62760, 8047, 827, 623, 88761, 236779, 28611, 1083, 623, 236819, 236828, 236908, 6953, 27215, 528, 11321, 18567, 23179, 623, 2364, 236779, 85038, 567, 236779, 5791, 1083, 3714, 95620, 236779, 21364, 2109, 1083, 623, 5191, 1713, 236743, 236770, 236778, 236772, 13807, 981, 8633, 6035, 827, 623, 47139, 2109, 236779, 21364, 2109, 1083, 623, 181346, 3701, 1702, 573, 7500, 43829, 827, 623, 88761, 236779, 21364, 2109, 1083, 623, 112239, 742, 17042, 528, 13023, 4106, 127096, 106, 107, 105, 4368, 107, 22515, 580, 506, 2436, 1262, 532, 22080, 236772, 15396, 3671, 236764, 1590, 236789, 236751, 506, 25809, 573, 822, 7924, 236772, 26377, 981, 3548, 236787, 108, 1018, 8534, 24067, 236787, 21218, 19494, 562, 236810, 236812, 236743, 236810, 236823, 1018, 107, 236772, 5213, 11280, 66515, 609, 236812, 236778, 236819, 568, 6460, 822, 609, 236810, 236771, 236771, 7715, 236768, 107, 236772, 5213, 94824, 66515, 236743, 236810, 236771, 236771, 236771, 82854, 568, 8534, 236743, 236800, 528, 1012, 236764, 20239, 236743, 236770, 236778, 236772, 13807, 8633, 3548, 236768, 107, 236772, 5213, 38682, 2109, 66515, 10710, 236825, 236828, 14470, 568, 78353, 528, 1012, 236764, 19171, 7500, 43829, 236768, 107, 236772, 5213, 52213, 66515, 42200, 236772, 5163, 607, 236743, 236819, 236828, 236908, 6953, 27215, 568, 67223, 13023, 17042, 236768, 107, 236772, 5213, 51164, 66515, 236743, 236819, 236810, 236908, 36261, 10002, 12606, 108, 1018, 13517, 27717, 28636, 66515, 107, 236770, 236761, 5213, 19540, 55835, 236743, 236832, 236746, 1018, 6131, 236812, 236819, 236819, 236768, 107, 139, 236772, 48823, 236787, 12498, 236772, 85869, 28887, 236764, 10710, 236825, 236832, 14470, 107, 139, 236772, 4786, 236787, 125936, 236743, 236812, 236800, 236828, 236810, 82854, 10055, 107, 139, 107, 236778, 236761, 5213, 4906, 20366, 18884, 20200, 236743, 236800, 1018, 6131, 236778, 236832, 236819, 236768, 107, 139, 236772, 48823, 236787, 236743, 236810, 236810, 236771, 236771, 82854, 10055, 900, 236743, 236825, 236832, 236824, 4592, 5536, 107, 139, 236772, 4786, 236787, 10710, 236825, 236810, 14470, 568, 1933, 14500, 236786, 7632, 6733, 236768, 108, 236800, 236761, 5213, 50668, 236743, 236770, 236812, 7952, 1018, 6131, 236812, 236778, 236819, 236768, 107, 139, 236772, 48823, 236787, 562, 236770, 236810, 20684, 3736, 236764, 21019, 18481, 107, 139, 236772, 4786, 236787, 125936, 236743, 236778, 236771, 236770, 236828, 82854, 10055, 236764, 9862, 236743, 236812, 236761, 236832, 236775, 3034, 108, 1018, 211199, 66515, 669, 21218, 19494, 562, 236810, 236812, 236743, 236810, 236823, 5469, 506, 1791, 7002, 529, 10055, 1972, 236764, 39601, 236764, 532, 28887, 21016, 573, 822, 1161, 1624, 236761, 21284, 611, 1133, 786, 531, 2426, 15903, 236772, 15396, 15663, 528, 22080, 653, 10769, 1027, 1156, 4681, 5467, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 9226, 2460, 600, 28619, 26135, 28968, 607, 496, 8568, 7824, 236761, 5315, 236764, 564, 1461, 531, 1586, 13154, 4596, 531, 26135, 6540, 653, 8568, 600, 692, 740, 1407, 657, 506, 2460, 236761, 4298, 236764, 2426, 8217, 15830, 573, 1023, 12286, 1913, 506, 2460, 14069, 236764, 532, 6861, 236764, 1385, 573, 1027, 4803, 4414, 4668, 1003, 1239, 13154, 653, 8568, 4749, 531, 1161, 528, 1023, 18214, 236761, 3792, 236789, 236751, 1502, 684, 19460, 573, 7798, 13154, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 35559, 236888, 669, 25391, 158453, 827, 623, 7777, 1083, 623, 236776, 26135, 62476, 236789, 236751, 9338, 1343, 26100, 17783, 528, 3879, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236771, 236810, 1263, 3714, 3250, 1083, 623, 236794, 7725, 570, 565, 1857, 236747, 236787, 669, 101343, 34882, 827, 623, 7777, 1083, 623, 1558, 72089, 22720, 529, 1156, 26135, 140905, 67112, 30006, 532, 2523, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236771, 236828, 1263, 3714, 3250, 1083, 623, 211779, 827, 623, 7777, 1083, 623, 81646, 19138, 529, 26135, 6540, 607, 6672, 8568, 4820, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 2305, 236779, 3278, 1083, 623, 158333, 8568, 25938, 106, 107, 105, 4368, 107, 2021, 4102, 6995, 822, 2460, 236764, 564, 236789, 859, 1202, 3530, 4889, 531, 2426, 8217, 15830, 236761, 7323, 2847, 236787, 107, 236770, 236761, 12825, 5618, 532, 9979, 1298, 12286, 795, 4196, 107, 236778, 236761, 7179, 236772, 495, 532, 2426, 236772, 725, 14069, 568, 495, 895, 33990, 236874, 236772, 8395, 236772, 21738, 6518, 236768, 108, 2542, 506, 6387, 4668, 3927, 236764, 1374, 564, 3213, 580, 1027, 3530, 4103, 699, 506, 1694, 568, 236744, 236761, 236759, 1126, 623, 211779, 236775, 573, 9226, 4820, 653, 623, 35559, 9332, 573, 8568, 20625, 2408, 659, 611, 3182, 573, 2870, 26135, 8568, 236772, 10619, 4668, 236881, 106, 107, 105, 2364, 107, 236770, 236761, 12825, 4889, 236787, 753, 5213, 54347, 236743, 236770, 66515, 36740, 733, 8890, 10063, 568, 236770, 236778, 236800, 6400, 842, 236764, 36740, 733, 236764, 8253, 236768, 753, 5213, 54347, 236743, 236778, 66515, 9159, 14654, 68042, 25145, 568, 236812, 236810, 236825, 20690, 18977, 236764, 9159, 14654, 236764, 8253, 236768, 7179, 236772, 495, 236787, 5213, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 1018, 1109, 7179, 236772, 725, 236787, 5213, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 1018, 236743, 236778, 236761, 24580, 3213, 236787, 12213, 1800, 5213, 236775, 211779, 236775, 1018, 568, 50771, 236768, 532, 5213, 236775, 35559, 9332, 1018, 568, 70733, 236768, 573, 4668, 3671, 236764, 840, 992, 3927, 573, 4803, 26135, 8568, 4749, 528, 2870, 568, 236744, 236761, 236759, 1126, 40777, 45796, 20756, 653, 4109, 11193, 145138, 236768, 531, 95910, 42527, 3004, 236761, 3792, 236858, 236751, 7162, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56905, 1083, 1847, 236764, 623, 13308, 1083, 3714, 58657, 1083, 623, 102378, 733, 8890, 10063, 827, 623, 4256, 495, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 71733, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 827, 623, 13319, 1083, 623, 102378, 733, 827, 623, 18700, 236779, 10868, 1083, 11058, 21108, 827, 623, 12846, 38016, 14255, 623, 6725, 236779, 187873, 1083, 236743, 236778, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 56905, 1083, 1847, 236764, 623, 4256, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 71733, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 827, 623, 58657, 236779, 1201, 1083, 623, 6942, 14654, 68042, 25145, 827, 623, 18700, 236779, 10868, 1083, 78493, 2084, 1083, 623, 7902, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 18700, 236779, 2861, 1083, 236743, 236828, 1263, 3714, 2084, 1083, 623, 22635, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236770, 236819, 236761, 236819, 236819, 236764, 623, 18700, 236779, 2861, 1083, 236743, 236800, 104960, 623, 104094, 236779, 547, 1083, 623, 4080, 236798, 236772, 236778, 236771, 236778, 236812, 236772, 20998, 236772, 236771, 236800, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 11662, 28253, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 56036, 1083, 623, 70733, 236764, 10774, 827, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236810, 236764, 623, 19859, 1083, 623, 57142, 236764, 185979, 827, 623, 2084, 1083, 623, 21000, 23179, 3714, 3250, 1083, 623, 4394, 529, 68216, 236787, 52259, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 56036, 1083, 623, 70733, 236764, 152607, 827, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236778, 236764, 623, 19859, 1083, 623, 57142, 827, 623, 2084, 1083, 623, 21000, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 1018, 3500, 22113, 12579, 53121, 138, 108, 10354, 236743, 236770, 236761, 5213, 54347, 75669, 13810, 8593, 1018, 138, 107, 236772, 5213, 102378, 733, 8890, 10063, 66515, 18326, 573, 236743, 236778, 22998, 568, 9585, 236743, 236770, 236810, 236964, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 607, 13029, 532, 77509, 11630, 236761, 138, 107, 236772, 5213, 6942, 14654, 68042, 25145, 66515, 18326, 607, 236743, 236828, 3972, 11630, 6131, 236770, 236812, 236819, 236761, 236819, 236819, 236786, 9467, 236768, 532, 236743, 236800, 54149, 6131, 236778, 236770, 236819, 236761, 236819, 236819, 236786, 9467, 769, 125145, 5853, 236787, 2165, 4080, 236798, 236772, 236778, 236771, 236778, 236812, 236772, 20998, 236772, 236771, 236800, 236770, 236810, 21233, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 20069, 833, 7074, 13768, 1018, 138, 107, 2595, 5213, 43553, 229414, 1018, 138, 107, 236772, 5213, 236775, 211779, 236775, 1018, 568, 236778, 236771, 236770, 236832, 1473, 58599, 9226, 19138, 607, 8568, 4820, 236761, 138, 107, 236772, 5213, 236775, 35559, 236888, 669, 25391, 158453, 236775, 1018, 568, 236778, 236771, 236771, 236810, 1473, 58386, 236772, 41889, 62476, 3925, 236761, 138, 107, 236772, 5213, 236775, 236794, 7725, 570, 565, 1857, 236747, 236775, 1018, 568, 236778, 236771, 236771, 236828, 1473, 26135, 51342, 24815, 236761, 138, 108, 2595, 5213, 47619, 24580, 7074, 1018, 138, 107, 236776, 236743, 236778, 236771, 236778, 236771, 8568, 236786, 10774, 4103, 3927, 44423, 236787, 138, 107, 236772, 5213, 236775, 818, 11662, 28253, 236775, 1018, 568, 2783, 21845, 236743, 236832, 236761, 236810, 1473, 224350, 568, 27832, 236786, 80353, 236768, 8568, 18155, 236761, 138, 107, 236772, 5213, 236775, 4394, 529, 68216, 236787, 52259, 236775, 1018, 568, 2783, 21845, 236743, 236832, 236761, 236778, 1473, 14669, 236786, 152607, 4103, 236761, 138, 108, 195096, 5213, 37637, 5135, 66515, 2301, 1982, 4668, 1765, 573, 808, 211779, 30237, 808, 35559, 236888, 30237, 653, 4803, 26135, 8568, 4749, 568, 236744, 236761, 236759, 1126, 40777, 45796, 769, 669, 1873, 6436, 56856, 6387, 34438, 1024, 8568, 4668, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 54347, 66591, 66515, 101685, 607, 41819, 657, 1800, 20736, 236761, 138, 107, 236778, 236761, 5213, 20069, 7074, 66515, 6890, 506, 236743, 236778, 236771, 236778, 236771, 11847, 2787, 573, 18214, 236764, 840, 5433, 600, 1982, 4668, 573, 808, 211779, 236829, 3975, 35559, 236888, 236829, 653, 40777, 45796, 20756, 7087, 9302, 7021, 568, 71681, 1873, 5904, 1025, 769, 138, 107, 236800, 236761, 5213, 45417, 16748, 66515, 14066, 37803, 26100, 4241, 14906, 568, 236744, 236761, 236759, 1126, 4109, 11193, 145138, 236768, 4323, 496, 7732, 8568, 9299, 653, 12040, 2958, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 506, 6387, 4668, 3927, 653, 11327, 24277, 573, 8568, 2460, 12606, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 9226, 2460, 600, 28619, 26135, 28968, 607, 496, 8568, 7824, 236761, 5315, 236764, 564, 1461, 531, 1586, 13154, 4596, 531, 26135, 6540, 653, 8568, 600, 692, 740, 1407, 657, 506, 2460, 236761, 4298, 236764, 2426, 8217, 15830, 573, 1023, 12286, 1913, 506, 2460, 14069, 236764, 532, 6861, 236764, 1385, 573, 1027, 4803, 4414, 4668, 1003, 1239, 13154, 653, 8568, 4749, 531, 1161, 528, 1023, 18214, 236761, 3792, 236789, 236751, 1502, 684, 19460, 573, 7798, 13154, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 35559, 236888, 669, 25391, 158453, 827, 623, 7777, 1083, 623, 236776, 26135, 62476, 236789, 236751, 9338, 1343, 26100, 17783, 528, 3879, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236771, 236810, 1263, 3714, 3250, 1083, 623, 236794, 7725, 570, 565, 1857, 236747, 236787, 669, 101343, 34882, 827, 623, 7777, 1083, 623, 1558, 72089, 22720, 529, 1156, 26135, 140905, 67112, 30006, 532, 2523, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236771, 236828, 1263, 3714, 3250, 1083, 623, 211779, 827, 623, 7777, 1083, 623, 81646, 19138, 529, 26135, 6540, 607, 6672, 8568, 4820, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 2305, 236779, 3278, 1083, 623, 158333, 8568, 25938, 106, 107, 105, 4368, 107, 2021, 4102, 6995, 822, 2460, 236764, 564, 236789, 859, 1202, 3530, 4889, 531, 2426, 8217, 15830, 236761, 7323, 2847, 236787, 107, 236770, 236761, 12825, 5618, 532, 9979, 1298, 12286, 795, 4196, 107, 236778, 236761, 7179, 236772, 495, 532, 2426, 236772, 725, 14069, 568, 495, 895, 33990, 236874, 236772, 8395, 236772, 21738, 6518, 236768, 108, 2542, 506, 6387, 4668, 3927, 236764, 1374, 564, 3213, 580, 1027, 3530, 4103, 699, 506, 1694, 568, 236744, 236761, 236759, 1126, 623, 211779, 236775, 573, 9226, 4820, 653, 623, 35559, 9332, 573, 8568, 20625, 2408, 659, 611, 3182, 573, 2870, 26135, 8568, 236772, 10619, 4668, 236881, 106, 107, 105, 2364, 107, 236770, 236761, 12825, 4889, 236787, 753, 5213, 54347, 236743, 236770, 66515, 36740, 733, 8890, 10063, 568, 236770, 236778, 236800, 6400, 842, 236764, 36740, 733, 236764, 8253, 236768, 753, 5213, 54347, 236743, 236778, 66515, 9159, 14654, 68042, 25145, 568, 236812, 236810, 236825, 20690, 18977, 236764, 9159, 14654, 236764, 8253, 236768, 7179, 236772, 495, 236787, 5213, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 1018, 1109, 7179, 236772, 725, 236787, 5213, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 1018, 236743, 236778, 236761, 24580, 3213, 236787, 12213, 1800, 5213, 236775, 211779, 236775, 1018, 568, 50771, 236768, 532, 5213, 236775, 35559, 9332, 1018, 568, 70733, 236768, 573, 4668, 3671, 236764, 840, 992, 3927, 573, 4803, 26135, 8568, 4749, 528, 2870, 568, 236744, 236761, 236759, 1126, 40777, 45796, 20756, 653, 4109, 11193, 145138, 236768, 531, 95910, 42527, 3004, 236761, 3792, 236858, 236751, 7162, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56905, 1083, 1847, 236764, 623, 13308, 1083, 3714, 58657, 1083, 623, 102378, 733, 8890, 10063, 827, 623, 4256, 495, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 71733, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 827, 623, 13319, 1083, 623, 102378, 733, 827, 623, 18700, 236779, 10868, 1083, 11058, 21108, 827, 623, 12846, 38016, 14255, 623, 6725, 236779, 187873, 1083, 236743, 236778, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 56905, 1083, 1847, 236764, 623, 4256, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 71733, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236832, 827, 623, 58657, 236779, 1201, 1083, 623, 6942, 14654, 68042, 25145, 827, 623, 18700, 236779, 10868, 1083, 78493, 2084, 1083, 623, 7902, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 18700, 236779, 2861, 1083, 236743, 236828, 1263, 3714, 2084, 1083, 623, 22635, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236770, 236819, 236761, 236819, 236819, 236764, 623, 18700, 236779, 2861, 1083, 236743, 236800, 104960, 623, 104094, 236779, 547, 1083, 623, 4080, 236798, 236772, 236778, 236771, 236778, 236812, 236772, 20998, 236772, 236771, 236800, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 11662, 28253, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 56036, 1083, 623, 70733, 236764, 10774, 827, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236810, 236764, 623, 19859, 1083, 623, 57142, 236764, 185979, 827, 623, 2084, 1083, 623, 21000, 23179, 3714, 3250, 1083, 623, 4394, 529, 68216, 236787, 52259, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 56036, 1083, 623, 70733, 236764, 152607, 827, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236778, 236764, 623, 19859, 1083, 623, 57142, 827, 623, 2084, 1083, 623, 21000, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 1018, 3500, 22113, 12579, 53121, 138, 108, 10354, 236743, 236770, 236761, 5213, 54347, 75669, 13810, 8593, 1018, 138, 107, 236772, 5213, 102378, 733, 8890, 10063, 66515, 18326, 573, 236743, 236778, 22998, 568, 9585, 236743, 236770, 236810, 236964, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 607, 13029, 532, 77509, 11630, 236761, 138, 107, 236772, 5213, 6942, 14654, 68042, 25145, 66515, 18326, 607, 236743, 236828, 3972, 11630, 6131, 236770, 236812, 236819, 236761, 236819, 236819, 236786, 9467, 236768, 532, 236743, 236800, 54149, 6131, 236778, 236770, 236819, 236761, 236819, 236819, 236786, 9467, 769, 125145, 5853, 236787, 2165, 4080, 236798, 236772, 236778, 236771, 236778, 236812, 236772, 20998, 236772, 236771, 236800, 236770, 236810, 21233, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 20069, 833, 7074, 13768, 1018, 138, 107, 2595, 5213, 43553, 229414, 1018, 138, 107, 236772, 5213, 236775, 211779, 236775, 1018, 568, 236778, 236771, 236770, 236832, 1473, 58599, 9226, 19138, 607, 8568, 4820, 236761, 138, 107, 236772, 5213, 236775, 35559, 236888, 669, 25391, 158453, 236775, 1018, 568, 236778, 236771, 236771, 236810, 1473, 58386, 236772, 41889, 62476, 3925, 236761, 138, 107, 236772, 5213, 236775, 236794, 7725, 570, 565, 1857, 236747, 236775, 1018, 568, 236778, 236771, 236771, 236828, 1473, 26135, 51342, 24815, 236761, 138, 108, 2595, 5213, 47619, 24580, 7074, 1018, 138, 107, 236776, 236743, 236778, 236771, 236778, 236771, 8568, 236786, 10774, 4103, 3927, 44423, 236787, 138, 107, 236772, 5213, 236775, 818, 11662, 28253, 236775, 1018, 568, 2783, 21845, 236743, 236832, 236761, 236810, 1473, 224350, 568, 27832, 236786, 80353, 236768, 8568, 18155, 236761, 138, 107, 236772, 5213, 236775, 4394, 529, 68216, 236787, 52259, 236775, 1018, 568, 2783, 21845, 236743, 236832, 236761, 236778, 1473, 14669, 236786, 152607, 4103, 236761, 138, 108, 195096, 5213, 37637, 5135, 66515, 2301, 1982, 4668, 1765, 573, 808, 211779, 30237, 808, 35559, 236888, 30237, 653, 4803, 26135, 8568, 4749, 568, 236744, 236761, 236759, 1126, 40777, 45796, 769, 669, 1873, 6436, 56856, 6387, 34438, 1024, 8568, 4668, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 54347, 66591, 66515, 101685, 607, 41819, 657, 1800, 20736, 236761, 138, 107, 236778, 236761, 5213, 20069, 7074, 66515, 6890, 506, 236743, 236778, 236771, 236778, 236771, 11847, 2787, 573, 18214, 236764, 840, 5433, 600, 1982, 4668, 573, 808, 211779, 236829, 3975, 35559, 236888, 236829, 653, 40777, 45796, 20756, 7087, 9302, 7021, 568, 71681, 1873, 5904, 1025, 769, 138, 107, 236800, 236761, 5213, 45417, 16748, 66515, 14066, 37803, 26100, 4241, 14906, 568, 236744, 236761, 236759, 1126, 4109, 11193, 145138, 236768, 4323, 496, 7732, 8568, 9299, 653, 12040, 2958, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 506, 6387, 4668, 3927, 653, 11327, 24277, 573, 8568, 2460, 12606, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 3043, 496, 44426, 3393, 573, 1041, 154213, 18669, 99318, 236761, 564, 236858, 560, 2506, 496, 17945, 16553, 564, 1461, 531, 4024, 236764, 840, 564, 236858, 236757, 711, 14896, 236762, 3487, 531, 5811, 672, 855, 236761, 669, 2129, 236858, 236751, 22889, 657, 870, 2574, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 236768, 2192, 600, 3205, 808, 5594, 236829, 531, 577, 1060, 1132, 742, 236761, 3199, 611, 8729, 496, 44426, 3393, 600, 236858, 236751, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 236764, 2604, 19764, 580, 2173, 1695, 236764, 607, 623, 11480, 236775, 3165, 19830, 236881, 564, 6827, 1724, 7846, 4217, 768, 506, 3393, 6757, 1406, 689, 3701, 653, 2613, 236761, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 236778, 236800, 236812, 236778, 236746, 236778, 236746, 236832, 236761, 5067, 827, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 38943, 3393, 4464, 573, 4560, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 11211, 506, 154213, 17945, 236787, 107, 24960, 31317, 25421, 74642, 44426, 8739, 5457, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 236778, 236800, 236812, 236778, 236746, 236778, 236746, 236832, 236761, 5067, 236768, 108, 818, 3393, 691, 7835, 607, 506, 2269, 23003, 236787, 107, 236772, 5213, 3038, 66515, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 107, 236772, 5213, 3484, 66515, 4855, 19764, 580, 2173, 1695, 107, 236772, 5213, 3494, 77240, 66515, 4819, 568, 1708, 2480, 7112, 8047, 236768, 108, 818, 44426, 3393, 10428, 3298, 531, 822, 17945, 657, 2165, 2574, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 21233, 3792, 786, 1281, 768, 611, 1202, 1027, 30981, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 3043, 496, 44426, 3393, 573, 1041, 154213, 18669, 99318, 236761, 564, 236858, 560, 2506, 496, 17945, 16553, 564, 1461, 531, 4024, 236764, 840, 564, 236858, 236757, 711, 14896, 236762, 3487, 531, 5811, 672, 855, 236761, 669, 2129, 236858, 236751, 22889, 657, 870, 2574, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 236768, 2192, 600, 3205, 808, 5594, 236829, 531, 577, 1060, 1132, 742, 236761, 3199, 611, 8729, 496, 44426, 3393, 600, 236858, 236751, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 236764, 2604, 19764, 580, 2173, 1695, 236764, 607, 623, 11480, 236775, 3165, 19830, 236881, 564, 6827, 1724, 7846, 4217, 768, 506, 3393, 6757, 1406, 689, 3701, 653, 2613, 236761, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 236778, 236800, 236812, 236778, 236746, 236778, 236746, 236832, 236761, 5067, 827, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 38943, 3393, 4464, 573, 4560, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 11211, 506, 154213, 17945, 236787, 107, 24960, 31317, 25421, 74642, 44426, 8739, 5457, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 236778, 236800, 236812, 236778, 236746, 236778, 236746, 236832, 236761, 5067, 236768, 108, 818, 3393, 691, 7835, 607, 506, 2269, 23003, 236787, 107, 236772, 5213, 3038, 66515, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 107, 236772, 5213, 3484, 66515, 4855, 19764, 580, 2173, 1695, 107, 236772, 5213, 3494, 77240, 66515, 4819, 568, 1708, 2480, 7112, 8047, 236768, 108, 818, 44426, 3393, 10428, 3298, 531, 822, 17945, 657, 2165, 2574, 1411, 8358, 236761, 854, 236786, 5168, 25421, 236772, 44957, 236881, 6201, 236784, 102362, 236880, 69518, 236784, 109771, 21233, 3792, 786, 1281, 768, 611, 1202, 1027, 30981, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 11048, 573, 1041, 154213, 5975, 20564, 1003, 7107, 4493, 236772, 18865, 15795, 236761, 5315, 236764, 564, 1202, 496, 5866, 2471, 531, 26756, 506, 623, 15849, 236775, 13307, 529, 496, 94224, 236772, 1048, 29919, 236761, 1637, 600, 20269, 236764, 1161, 496, 55095, 2471, 5205, 236761, 9920, 692, 735, 506, 4068, 2471, 236764, 564, 1202, 506, 11688, 1722, 573, 506, 623, 9900, 236775, 13307, 753, 834, 768, 506, 1171, 563, 496, 5866, 236764, 974, 496, 55095, 236764, 532, 14638, 42759, 236761, 3792, 236789, 236751, 1502, 607, 506, 1171, 2471, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 9307, 236772, 3871, 236786, 50053, 236786, 28602, 236786, 9307, 236770, 236778, 236800, 236812, 236810, 236761, 32431, 827, 623, 5939, 1083, 623, 32431, 827, 623, 10618, 1083, 623, 50053, 827, 623, 2086, 1083, 623, 28602, 827, 623, 3304, 236779, 547, 1083, 623, 36196, 236779, 236832, 236828, 236819, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 2451, 1083, 623, 2574, 1411, 231775, 236761, 33864, 236786, 34102, 236772, 231775, 236786, 236828, 236771, 236771, 236781, 236825, 236771, 236771, 236761, 4034, 827, 623, 19031, 236779, 3456, 1083, 3714, 4603, 1083, 236743, 236825, 236771, 236771, 236764, 623, 2690, 1083, 236743, 236828, 236771, 236771, 236764, 623, 5939, 1083, 623, 4034, 827, 623, 10618, 1083, 623, 34102, 827, 623, 194649, 1083, 2416, 1263, 623, 7777, 1083, 623, 6720, 29130, 12819, 55095, 607, 3730, 6114, 236764, 2258, 4429, 25938, 106, 107, 105, 4368, 107, 8291, 659, 822, 11048, 4876, 236787, 108, 1018, 13286, 73179, 568, 25429, 9466, 1473, 1018, 138, 107, 24960, 3900, 5053, 3059, 152651, 5457, 2574, 1411, 8358, 236761, 854, 236786, 9307, 236772, 3871, 236786, 50053, 236786, 28602, 236786, 9307, 236770, 236778, 236800, 236812, 236810, 236761, 32431, 236768, 138, 107, 236829, 11238, 149681, 86885, 1109, 808, 12962, 149681, 70745, 1109, 808, 3038, 149681, 236743, 236828, 236771, 236771, 237858, 236825, 236771, 236771, 138, 108, 1018, 6259, 73179, 568, 236855, 4066, 9466, 1473, 1018, 138, 107, 24960, 22630, 236772, 83899, 152651, 5457, 2574, 1411, 231775, 236761, 33864, 236786, 34102, 236772, 231775, 236786, 236828, 236771, 236771, 236781, 236825, 236771, 236771, 236761, 4034, 236768, 138, 107, 236829, 11238, 149681, 122652, 1109, 808, 12962, 149681, 66526, 1109, 808, 9473, 149681, 4273, 29130, 12819, 55095, 607, 3730, 6114, 138, 108, 22186, 4876, 659, 5508, 531, 1161, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 84490, 236764, 6518, 236764, 653, 7824, 573, 3477, 13307, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 11048, 573, 1041, 154213, 5975, 20564, 1003, 7107, 4493, 236772, 18865, 15795, 236761, 5315, 236764, 564, 1202, 496, 5866, 2471, 531, 26756, 506, 623, 15849, 236775, 13307, 529, 496, 94224, 236772, 1048, 29919, 236761, 1637, 600, 20269, 236764, 1161, 496, 55095, 2471, 5205, 236761, 9920, 692, 735, 506, 4068, 2471, 236764, 564, 1202, 506, 11688, 1722, 573, 506, 623, 9900, 236775, 13307, 753, 834, 768, 506, 1171, 563, 496, 5866, 236764, 974, 496, 55095, 236764, 532, 14638, 42759, 236761, 3792, 236789, 236751, 1502, 607, 506, 1171, 2471, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 9307, 236772, 3871, 236786, 50053, 236786, 28602, 236786, 9307, 236770, 236778, 236800, 236812, 236810, 236761, 32431, 827, 623, 5939, 1083, 623, 32431, 827, 623, 10618, 1083, 623, 50053, 827, 623, 2086, 1083, 623, 28602, 827, 623, 3304, 236779, 547, 1083, 623, 36196, 236779, 236832, 236828, 236819, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 2451, 1083, 623, 2574, 1411, 231775, 236761, 33864, 236786, 34102, 236772, 231775, 236786, 236828, 236771, 236771, 236781, 236825, 236771, 236771, 236761, 4034, 827, 623, 19031, 236779, 3456, 1083, 3714, 4603, 1083, 236743, 236825, 236771, 236771, 236764, 623, 2690, 1083, 236743, 236828, 236771, 236771, 236764, 623, 5939, 1083, 623, 4034, 827, 623, 10618, 1083, 623, 34102, 827, 623, 194649, 1083, 2416, 1263, 623, 7777, 1083, 623, 6720, 29130, 12819, 55095, 607, 3730, 6114, 236764, 2258, 4429, 25938, 106, 107, 105, 4368, 107, 8291, 659, 822, 11048, 4876, 236787, 108, 1018, 13286, 73179, 568, 25429, 9466, 1473, 1018, 138, 107, 24960, 3900, 5053, 3059, 152651, 5457, 2574, 1411, 8358, 236761, 854, 236786, 9307, 236772, 3871, 236786, 50053, 236786, 28602, 236786, 9307, 236770, 236778, 236800, 236812, 236810, 236761, 32431, 236768, 138, 107, 236829, 11238, 149681, 86885, 1109, 808, 12962, 149681, 70745, 1109, 808, 3038, 149681, 236743, 236828, 236771, 236771, 237858, 236825, 236771, 236771, 138, 108, 1018, 6259, 73179, 568, 236855, 4066, 9466, 1473, 1018, 138, 107, 24960, 22630, 236772, 83899, 152651, 5457, 2574, 1411, 231775, 236761, 33864, 236786, 34102, 236772, 231775, 236786, 236828, 236771, 236771, 236781, 236825, 236771, 236771, 236761, 4034, 236768, 138, 107, 236829, 11238, 149681, 122652, 1109, 808, 12962, 149681, 66526, 1109, 808, 9473, 149681, 4273, 29130, 12819, 55095, 607, 3730, 6114, 138, 108, 22186, 4876, 659, 5508, 531, 1161, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 84490, 236764, 6518, 236764, 653, 7824, 573, 3477, 13307, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 2263, 25684, 529, 1610, 5417, 528, 217490, 236764, 101121, 573, 1041, 11710, 37999, 236761, 28344, 611, 1161, 506, 974, 236779, 2305, 236779, 17870, 236779, 1516, 5904, 531, 3927, 573, 623, 137802, 42145, 532, 176632, 236775, 528, 1041, 2433, 236881, 564, 236789, 236753, 5278, 2536, 19372, 684, 33417, 531, 22964, 217490, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 150109, 504, 833, 24424, 102371, 35713, 5833, 568, 236770, 236778, 19870, 22730, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 62622, 18280, 4585, 77245, 827, 623, 7125, 1083, 623, 62622, 18280, 236764, 101121, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 2861, 1083, 236743, 236828, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 2451, 1083, 623, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 23179, 3714, 5930, 236779, 1201, 1083, 623, 3695, 236772, 43370, 524, 42976, 147023, 568, 236770, 236771, 236772, 12415, 22730, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 71878, 4585, 18605, 827, 623, 7125, 1083, 623, 236792, 2187, 172129, 236764, 101121, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 2861, 1083, 236743, 236770, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 2451, 1083, 623, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236812, 236810, 236825, 23179, 3714, 5930, 236779, 1201, 1083, 623, 233963, 16474, 522, 35202, 15806, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 62300, 55607, 101121, 827, 623, 7125, 1083, 623, 1829, 8429, 9339, 236764, 101121, 827, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 2861, 1083, 236743, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 2451, 1083, 623, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236832, 236828, 236819, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 3118, 827, 623, 3278, 1083, 623, 137802, 42145, 532, 176632, 127096, 106, 107, 105, 4368, 107, 8291, 659, 2263, 25684, 529, 35740, 42145, 532, 176632, 528, 506, 217490, 236764, 101121, 2433, 236787, 108, 236770, 236761, 5213, 62622, 18280, 4585, 77245, 1018, 138, 107, 139, 236772, 5213, 7163, 66515, 72928, 504, 833, 24424, 102371, 35713, 5833, 568, 236770, 236778, 19870, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236812, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236770, 236761, 236778, 7635, 699, 22964, 217490, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 2862, 568, 236828, 6630, 236768, 138, 107, 139, 236772, 870, 2039, 4889, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 236768, 138, 108, 236778, 236761, 5213, 71878, 4585, 18605, 1018, 568, 236792, 2187, 172129, 236764, 101121, 236768, 138, 107, 139, 236772, 5213, 7163, 66515, 3946, 236772, 43370, 524, 42976, 147023, 568, 236770, 236771, 236772, 12415, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236770, 236812, 236761, 236810, 7635, 699, 217490, 138, 107, 139, 236772, 870, 2039, 4889, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236812, 236810, 236825, 236768, 138, 108, 236800, 236761, 5213, 62300, 55607, 101121, 1018, 568, 1829, 8429, 9339, 236764, 101121, 236768, 138, 107, 139, 236772, 5213, 7163, 66515, 102371, 16474, 522, 35202, 15806, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236778, 236778, 236761, 236800, 7635, 699, 217490, 138, 107, 139, 236772, 870, 2039, 4889, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236832, 236828, 236819, 236768, 138, 108, 818, 2536, 659, 711, 25010, 19372, 684, 33417, 236764, 618, 506, 5904, 5633, 40826, 496, 623, 10479, 684, 5149, 236775, 7689, 236761, 1701, 506, 1346, 2263, 3835, 236764, 56856, 5213, 62622, 18280, 4585, 77245, 1018, 568, 236770, 236761, 236778, 7635, 3121, 769, 1701, 4767, 3835, 236764, 611, 1149, 1461, 531, 3662, 506, 34616, 5467, 531, 9128, 33417, 653, 12631, 15830, 236761, 106, 107, 105, 2364, 107, 30092, 611, 8729, 496, 44426, 3393, 573, 506, 217490, 4585, 77245, 1698, 3104, 26882, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 1223, 236881, 564, 236789, 236753, 1133, 531, 5383, 625, 580, 1041, 5154, 573, 3735, 2802, 1056, 564, 236789, 236757, 22964, 236761, 6890, 506, 566, 236770, 236779, 170274, 5904, 607, 506, 10739, 532, 496, 2425, 529, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 3304, 1083, 623, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 8686, 236935, 4868, 236776, 3066, 55260, 97587, 34754, 236776, 236770, 16070, 11818, 236824, 236770, 236771, 31140, 236804, 20804, 105521, 34754, 236814, 236771, 236752, 38254, 236847, 24834, 236800, 236756, 236800, 6552, 236935, 236771, 8686, 2466, 6654, 54036, 42109, 236935, 236812, 236800, 236748, 169620, 169620, 169620, 77836, 7692, 207328, 236935, 236828, 8686, 236746, 236771, 236804, 201587, 70136, 3066, 236863, 69198, 236810, 19574, 97143, 216601, 210362, 623, 5939, 1083, 623, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 217490, 4585, 77245, 1698, 3104, 236787, 108, 24960, 38943, 8739, 5457, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 8686, 236935, 4868, 236776, 3066, 55260, 97587, 34754, 236776, 236770, 16070, 11818, 236824, 236770, 236771, 31140, 236804, 20804, 105521, 34754, 236814, 236771, 236752, 38254, 236847, 24834, 236800, 236756, 236800, 6552, 236935, 236771, 8686, 2466, 6654, 54036, 42109, 236935, 236812, 236800, 236748, 169620, 169620, 169620, 77836, 7692, 207328, 236935, 236828, 8686, 236746, 236771, 236804, 201587, 70136, 3066, 236863, 69198, 236810, 19574, 97143, 216601, 1224, 236768, 108, 1018, 81851, 53121, 107, 236770, 236761, 18898, 672, 2471, 531, 822, 5154, 568, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 2425, 618, 15633, 236768, 107, 236778, 236761, 6890, 1027, 44426, 3393, 26500, 850, 531, 2802, 506, 1698, 3104, 26310, 1056, 611, 236789, 500, 22964, 107, 236800, 236761, 669, 44426, 3393, 6178, 2764, 44529, 532, 2173, 1695, 573, 5783, 122499, 108, 3048, 740, 1492, 5583, 2802, 506, 1698, 4889, 607, 496, 3823, 13952, 1651, 528, 217490, 236888, 106, 107, 105, 2364, 107, 30092, 611, 2426, 573, 1027, 53552, 7548, 3835, 573, 1610, 6429, 67731, 1343, 217490, 4585, 77245, 236881, 6890, 506, 9279, 236779, 216417, 236779, 24471, 5904, 607, 614, 4068, 7548, 529, 609, 236778, 236812, 236761, 236819, 236819, 568, 2543, 506, 35740, 1076, 236768, 532, 496, 13822, 11317, 529, 609, 236770, 236771, 573, 496, 236743, 236770, 236778, 236772, 11283, 15419, 236761, 564, 236858, 236753, 1133, 531, 1281, 506, 2558, 2157, 532, 10769, 625, 531, 11691, 29772, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 24471, 1083, 236743, 236770, 236778, 236771, 236764, 623, 154521, 236779, 13308, 1083, 3714, 13304, 236779, 721, 236779, 23735, 1083, 236743, 236770, 236771, 236764, 623, 27521, 1083, 623, 71832, 827, 623, 5640, 236779, 1340, 236779, 195282, 1083, 236743, 236770, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 529, 506, 53552, 7548, 5086, 236787, 108, 1018, 58179, 9620, 86249, 53121, 107, 236772, 5213, 22995, 35032, 53121, 609, 236778, 236812, 236761, 236819, 236819, 568, 811, 236772, 2289, 35740, 1076, 7408, 236768, 107, 236772, 5213, 96579, 55246, 53121, 609, 236770, 236771, 236786, 11283, 15666, 236743, 236770, 236778, 3794, 578, 5213, 236795, 236770, 236778, 236771, 1018, 107, 236772, 5213, 9640, 19419, 11117, 53121, 609, 236778, 236812, 236761, 236819, 236819, 900, 609, 236770, 236778, 236771, 578, 5213, 236795, 236770, 236812, 236812, 236761, 236819, 236819, 1018, 108, 1018, 53377, 531, 25567, 225148, 53121, 107, 236770, 236761, 5213, 8782, 3656, 236772, 2866, 44511, 53121, 609, 236778, 236812, 236761, 236819, 236819, 568, 4017, 506, 35740, 1076, 236768, 107, 236778, 236761, 5213, 58179, 9620, 12613, 53121, 609, 236770, 236812, 236812, 236761, 236819, 236819, 236786, 3704, 568, 22239, 35740, 1076, 900, 236743, 236770, 236778, 3794, 529, 15419, 6417, 236768, 108, 1018, 3503, 107452, 53121, 107, 236772, 669, 23627, 1093, 1186, 1386, 5113, 768, 506, 15419, 4728, 4767, 1550, 568, 236744, 236761, 236759, 1126, 36498, 580, 3402, 25663, 236764, 14417, 5417, 236764, 653, 21441, 6417, 5367, 1890, 236795, 236770, 236778, 236771, 236786, 3704, 236768, 107, 236772, 19446, 14111, 217490, 4585, 77245, 236789, 3530, 23627, 3755, 236764, 672, 563, 496, 62954, 14988, 2721, 580, 822, 6137, 107, 236772, 1637, 611, 11082, 8559, 919, 1082, 609, 236770, 236771, 236786, 11283, 580, 1610, 14767, 236764, 506, 23627, 1451, 30091, 25663, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 217490, 4585, 77245, 531, 68256, 1003, 910, 5396, 23627, 3755, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 2263, 25684, 529, 1610, 5417, 528, 217490, 236764, 101121, 573, 1041, 11710, 37999, 236761, 28344, 611, 1161, 506, 974, 236779, 2305, 236779, 17870, 236779, 1516, 5904, 531, 3927, 573, 623, 137802, 42145, 532, 176632, 236775, 528, 1041, 2433, 236881, 564, 236789, 236753, 5278, 2536, 19372, 684, 33417, 531, 22964, 217490, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 150109, 504, 833, 24424, 102371, 35713, 5833, 568, 236770, 236778, 19870, 22730, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 62622, 18280, 4585, 77245, 827, 623, 7125, 1083, 623, 62622, 18280, 236764, 101121, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 2861, 1083, 236743, 236828, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 2451, 1083, 623, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 23179, 3714, 5930, 236779, 1201, 1083, 623, 3695, 236772, 43370, 524, 42976, 147023, 568, 236770, 236771, 236772, 12415, 22730, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 71878, 4585, 18605, 827, 623, 7125, 1083, 623, 236792, 2187, 172129, 236764, 101121, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 2861, 1083, 236743, 236770, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 2451, 1083, 623, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236812, 236810, 236825, 23179, 3714, 5930, 236779, 1201, 1083, 623, 233963, 16474, 522, 35202, 15806, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 62300, 55607, 101121, 827, 623, 7125, 1083, 623, 1829, 8429, 9339, 236764, 101121, 827, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 2861, 1083, 236743, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 2451, 1083, 623, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236832, 236828, 236819, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 3118, 827, 623, 3278, 1083, 623, 137802, 42145, 532, 176632, 127096, 106, 107, 105, 4368, 107, 8291, 659, 2263, 25684, 529, 35740, 42145, 532, 176632, 528, 506, 217490, 236764, 101121, 2433, 236787, 108, 236770, 236761, 5213, 62622, 18280, 4585, 77245, 1018, 138, 107, 139, 236772, 5213, 7163, 66515, 72928, 504, 833, 24424, 102371, 35713, 5833, 568, 236770, 236778, 19870, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236812, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236770, 236761, 236778, 7635, 699, 22964, 217490, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 2862, 568, 236828, 6630, 236768, 138, 107, 139, 236772, 870, 2039, 4889, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 236768, 138, 108, 236778, 236761, 5213, 71878, 4585, 18605, 1018, 568, 236792, 2187, 172129, 236764, 101121, 236768, 138, 107, 139, 236772, 5213, 7163, 66515, 3946, 236772, 43370, 524, 42976, 147023, 568, 236770, 236771, 236772, 12415, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236770, 236812, 236761, 236810, 7635, 699, 217490, 138, 107, 139, 236772, 870, 2039, 4889, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236812, 236810, 236825, 236768, 138, 108, 236800, 236761, 5213, 62300, 55607, 101121, 1018, 568, 1829, 8429, 9339, 236764, 101121, 236768, 138, 107, 139, 236772, 5213, 7163, 66515, 102371, 16474, 522, 35202, 15806, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236778, 236778, 236761, 236800, 7635, 699, 217490, 138, 107, 139, 236772, 870, 2039, 4889, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236832, 236828, 236819, 236768, 138, 108, 818, 2536, 659, 711, 25010, 19372, 684, 33417, 236764, 618, 506, 5904, 5633, 40826, 496, 623, 10479, 684, 5149, 236775, 7689, 236761, 1701, 506, 1346, 2263, 3835, 236764, 56856, 5213, 62622, 18280, 4585, 77245, 1018, 568, 236770, 236761, 236778, 7635, 3121, 769, 1701, 4767, 3835, 236764, 611, 1149, 1461, 531, 3662, 506, 34616, 5467, 531, 9128, 33417, 653, 12631, 15830, 236761, 106, 107, 105, 2364, 107, 30092, 611, 8729, 496, 44426, 3393, 573, 506, 217490, 4585, 77245, 1698, 3104, 26882, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 5457, 2574, 1411, 219389, 236761, 8358, 236761, 854, 236786, 5930, 236770, 236778, 236800, 1223, 236881, 564, 236789, 236753, 1133, 531, 5383, 625, 580, 1041, 5154, 573, 3735, 2802, 1056, 564, 236789, 236757, 22964, 236761, 6890, 506, 566, 236770, 236779, 170274, 5904, 607, 506, 10739, 532, 496, 2425, 529, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 3304, 1083, 623, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 8686, 236935, 4868, 236776, 3066, 55260, 97587, 34754, 236776, 236770, 16070, 11818, 236824, 236770, 236771, 31140, 236804, 20804, 105521, 34754, 236814, 236771, 236752, 38254, 236847, 24834, 236800, 236756, 236800, 6552, 236935, 236771, 8686, 2466, 6654, 54036, 42109, 236935, 236812, 236800, 236748, 169620, 169620, 169620, 77836, 7692, 207328, 236935, 236828, 8686, 236746, 236771, 236804, 201587, 70136, 3066, 236863, 69198, 236810, 19574, 97143, 216601, 210362, 623, 5939, 1083, 623, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 217490, 4585, 77245, 1698, 3104, 236787, 108, 24960, 38943, 8739, 5457, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 8686, 236935, 4868, 236776, 3066, 55260, 97587, 34754, 236776, 236770, 16070, 11818, 236824, 236770, 236771, 31140, 236804, 20804, 105521, 34754, 236814, 236771, 236752, 38254, 236847, 24834, 236800, 236756, 236800, 6552, 236935, 236771, 8686, 2466, 6654, 54036, 42109, 236935, 236812, 236800, 236748, 169620, 169620, 169620, 77836, 7692, 207328, 236935, 236828, 8686, 236746, 236771, 236804, 201587, 70136, 3066, 236863, 69198, 236810, 19574, 97143, 216601, 1224, 236768, 108, 1018, 81851, 53121, 107, 236770, 236761, 18898, 672, 2471, 531, 822, 5154, 568, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 2425, 618, 15633, 236768, 107, 236778, 236761, 6890, 1027, 44426, 3393, 26500, 850, 531, 2802, 506, 1698, 3104, 26310, 1056, 611, 236789, 500, 22964, 107, 236800, 236761, 669, 44426, 3393, 6178, 2764, 44529, 532, 2173, 1695, 573, 5783, 122499, 108, 3048, 740, 1492, 5583, 2802, 506, 1698, 4889, 607, 496, 3823, 13952, 1651, 528, 217490, 236888, 106, 107, 105, 2364, 107, 30092, 611, 2426, 573, 1027, 53552, 7548, 3835, 573, 1610, 6429, 67731, 1343, 217490, 4585, 77245, 236881, 6890, 506, 9279, 236779, 216417, 236779, 24471, 5904, 607, 614, 4068, 7548, 529, 609, 236778, 236812, 236761, 236819, 236819, 568, 2543, 506, 35740, 1076, 236768, 532, 496, 13822, 11317, 529, 609, 236770, 236771, 573, 496, 236743, 236770, 236778, 236772, 11283, 15419, 236761, 564, 236858, 236753, 1133, 531, 1281, 506, 2558, 2157, 532, 10769, 625, 531, 11691, 29772, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 24471, 1083, 236743, 236770, 236778, 236771, 236764, 623, 154521, 236779, 13308, 1083, 3714, 13304, 236779, 721, 236779, 23735, 1083, 236743, 236770, 236771, 236764, 623, 27521, 1083, 623, 71832, 827, 623, 5640, 236779, 1340, 236779, 195282, 1083, 236743, 236770, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 529, 506, 53552, 7548, 5086, 236787, 108, 1018, 58179, 9620, 86249, 53121, 107, 236772, 5213, 22995, 35032, 53121, 609, 236778, 236812, 236761, 236819, 236819, 568, 811, 236772, 2289, 35740, 1076, 7408, 236768, 107, 236772, 5213, 96579, 55246, 53121, 609, 236770, 236771, 236786, 11283, 15666, 236743, 236770, 236778, 3794, 578, 5213, 236795, 236770, 236778, 236771, 1018, 107, 236772, 5213, 9640, 19419, 11117, 53121, 609, 236778, 236812, 236761, 236819, 236819, 900, 609, 236770, 236778, 236771, 578, 5213, 236795, 236770, 236812, 236812, 236761, 236819, 236819, 1018, 108, 1018, 53377, 531, 25567, 225148, 53121, 107, 236770, 236761, 5213, 8782, 3656, 236772, 2866, 44511, 53121, 609, 236778, 236812, 236761, 236819, 236819, 568, 4017, 506, 35740, 1076, 236768, 107, 236778, 236761, 5213, 58179, 9620, 12613, 53121, 609, 236770, 236812, 236812, 236761, 236819, 236819, 236786, 3704, 568, 22239, 35740, 1076, 900, 236743, 236770, 236778, 3794, 529, 15419, 6417, 236768, 108, 1018, 3503, 107452, 53121, 107, 236772, 669, 23627, 1093, 1186, 1386, 5113, 768, 506, 15419, 4728, 4767, 1550, 568, 236744, 236761, 236759, 1126, 36498, 580, 3402, 25663, 236764, 14417, 5417, 236764, 653, 21441, 6417, 5367, 1890, 236795, 236770, 236778, 236771, 236786, 3704, 236768, 107, 236772, 19446, 14111, 217490, 4585, 77245, 236789, 3530, 23627, 3755, 236764, 672, 563, 496, 62954, 14988, 2721, 580, 822, 6137, 107, 236772, 1637, 611, 11082, 8559, 919, 1082, 609, 236770, 236771, 236786, 11283, 580, 1610, 14767, 236764, 506, 23627, 1451, 30091, 25663, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 217490, 4585, 77245, 531, 68256, 1003, 910, 5396, 23627, 3755, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2847, 496, 12323, 529, 506, 1903, 236743, 236800, 24612, 10308, 4596, 531, 756, 105053, 24519, 103709, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 24612, 3927, 15858, 1343, 506, 1873, 5904, 1025, 236761, 3551, 2487, 5151, 659, 5809, 531, 236787, 107, 236770, 236761, 8582, 2948, 3927, 107, 236778, 236761, 9466, 3927, 4323, 6475, 107, 236800, 236761, 11440, 7319, 38485, 108, 38786, 611, 1133, 786, 531, 3927, 8582, 573, 12705, 24519, 10103, 5205, 236881, 2408, 2056, 8159, 4876, 4596, 531, 12705, 24519, 14485, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2847, 496, 12323, 529, 506, 1903, 236743, 236800, 24612, 10308, 4596, 531, 756, 105053, 24519, 103709, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 24612, 3927, 15858, 1343, 506, 1873, 5904, 1025, 236761, 3551, 2487, 5151, 659, 5809, 531, 236787, 107, 236770, 236761, 8582, 2948, 3927, 107, 236778, 236761, 9466, 3927, 4323, 6475, 107, 236800, 236761, 11440, 7319, 38485, 108, 38786, 611, 1133, 786, 531, 3927, 8582, 573, 12705, 24519, 10103, 5205, 236881, 2408, 2056, 8159, 4876, 4596, 531, 12705, 24519, 14485, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 16074, 14134, 5085, 1288, 618, 4710, 236764, 31509, 236764, 532, 16820, 236761, 21284, 611, 1133, 1601, 607, 16074, 822, 26149, 653, 4588, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 16074, 14134, 5085, 1288, 618, 4710, 236764, 31509, 236764, 532, 16820, 236761, 21284, 611, 1133, 1601, 607, 16074, 822, 26149, 653, 4588, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236772, 24333, 236764, 564, 236789, 236757, 35447, 496, 3399, 27893, 2460, 2148, 2297, 532, 1202, 1070, 42527, 5417, 236761, 28344, 611, 1601, 786, 1586, 1494, 236772, 15276, 4876, 529, 27893, 22249, 528, 45867, 236764, 57484, 600, 32545, 1023, 2263, 39339, 236881, 564, 1461, 531, 1386, 2889, 506, 62325, 7495, 506, 3399, 7304, 532, 3756, 9899, 692, 2765, 236761, 3792, 236789, 236751, 1502, 607, 496, 6475, 2471, 3927, 573, 756, 204569, 37328, 3399, 27893, 22249, 236789, 532, 1460, 1144, 3952, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 12103, 1083, 78493, 3250, 1083, 623, 204569, 236789, 236751, 42055, 753, 4855, 10373, 40344, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 827, 623, 6265, 1083, 623, 2805, 63395, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236881, 236765, 236784, 236778, 236771, 236771, 23179, 3714, 3250, 1083, 623, 46640, 105528, 616, 657, 80126, 43633, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 827, 623, 6265, 1083, 623, 236791, 716, 1416, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 23179, 3714, 3250, 1083, 623, 204569, 7940, 31093, 23855, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 827, 623, 6265, 1083, 623, 2805, 63395, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236881, 236765, 236784, 236778, 236771, 236771, 23179, 3714, 3250, 1083, 623, 23301, 134937, 528, 226860, 40344, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 827, 623, 6265, 1083, 623, 236791, 716, 1416, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 25938, 1604, 623, 3278, 236779, 1516, 1083, 3714, 2305, 236779, 3278, 1083, 623, 204569, 37328, 3399, 27893, 22249, 827, 623, 19859, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 827, 623, 12103, 236779, 204138, 1083, 236743, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1494, 236772, 15276, 2471, 2536, 573, 45867, 236764, 57484, 3399, 27893, 22249, 236787, 108, 236770, 236761, 5213, 204569, 236789, 236751, 42055, 753, 4855, 10373, 40344, 1018, 138, 107, 139, 236840, 5825, 236787, 1286, 63395, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 236778, 236761, 5213, 46640, 105528, 616, 657, 80126, 43633, 1018, 138, 107, 139, 236840, 5825, 236787, 593, 716, 1416, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 236800, 236761, 5213, 204569, 7940, 31093, 23855, 1018, 138, 107, 139, 236840, 5825, 236787, 1286, 63395, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 236812, 236761, 5213, 23301, 134937, 528, 226860, 40344, 1018, 138, 107, 139, 236840, 5825, 236787, 593, 716, 1416, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 818, 2536, 3204, 3399, 236772, 41889, 18583, 532, 45867, 236789, 236751, 22799, 39339, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 5957, 684, 3530, 22249, 236764, 6253, 2471, 3117, 236764, 653, 33205, 919, 3835, 20625, 106, 107, 105, 2364, 107, 12879, 573, 506, 2471, 2536, 236888, 669, 3399, 18583, 532, 2263, 39339, 1385, 4011, 236761, 3792, 236789, 236751, 9918, 1239, 3835, 1131, 7100, 4402, 531, 1594, 1607, 42527, 68248, 236761, 28344, 611, 1161, 506, 9918, 236779, 2234, 5904, 531, 19226, 506, 2390, 2471, 60973, 1131, 49145, 529, 1156, 236881, 1174, 1595, 236764, 564, 740, 10769, 1217, 1546, 6727, 4146, 573, 61381, 11803, 14922, 2777, 4009, 45892, 236761, 9996, 2889, 506, 49145, 22435, 506, 1900, 529, 4876, 692, 124406, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 1922, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 963, 756, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 2000, 107, 1922, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 963, 756, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 2000, 106, 107, 105, 4368, 107, 8291, 659, 506, 2471, 60973, 11310, 1131, 11496, 49145, 573, 11273, 7257, 236787, 108, 1018, 3883, 236743, 236770, 568, 63157, 497, 7803, 57823, 1473, 1018, 138, 107, 236770, 236761, 870, 9264, 10373, 40344, 23855, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236768, 138, 107, 236778, 236761, 870, 171656, 43633, 105528, 616, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236768, 138, 108, 1018, 3883, 236743, 236778, 568, 30222, 11701, 50504, 57823, 1473, 1018, 138, 107, 236770, 236761, 870, 50613, 31093, 23855, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236768, 138, 107, 236778, 236761, 870, 236788, 671, 81372, 40344, 12831, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236768, 138, 108, 818, 1900, 699, 506, 3303, 2536, 563, 27750, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43550, 4767, 49145, 607, 1607, 130053, 236881, 138, 107, 236778, 236761, 40656, 3530, 28436, 568, 236744, 236761, 236759, 1126, 4466, 1816, 236764, 37210, 236768, 699, 1239, 4876, 236881, 138, 107, 236800, 236761, 8600, 18649, 11273, 23693, 1699, 1239, 60973, 236881, 106, 107, 105, 2364, 107, 20418, 236888, 3792, 236789, 236751, 2619, 18649, 11273, 23693, 1699, 1239, 60973, 236761, 1701, 1546, 2299, 236764, 8729, 496, 3606, 61381, 532, 2777, 4009, 17409, 61931, 600, 5132, 17709, 1816, 573, 2460, 4889, 236761, 1174, 795, 1601, 50611, 1217, 506, 4876, 981, 607, 506, 42527, 39389, 236761, 6890, 506, 1171, 10739, 528, 1546, 27897, 573, 506, 61381, 12093, 2471, 532, 506, 1855, 573, 496, 10929, 17409, 11273, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 18649, 11273, 23693, 1699, 16167, 236786, 42970, 9108, 573, 3735, 61988, 236761, 5715, 659, 506, 7426, 14485, 236787, 108, 1018, 3883, 236743, 236770, 163862, 568, 9264, 10373, 40344, 30407, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 15275, 497, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236775, 1012, 718, 5653, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 3955, 905, 107, 140, 184, 243536, 45867, 11493, 156084, 191, 107, 140, 236820, 236758, 236813, 249460, 5857, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 244343, 236773, 62327, 40344, 23855, 2834, 954, 236758, 236813, 107, 140, 236820, 236758, 236813, 22163, 775, 573, 1023, 7384, 3399, 34374, 1343, 45867, 236789, 236751, 19282, 19227, 39339, 236888, 12831, 236772, 18865, 9116, 607, 28172, 4135, 16592, 9047, 236758, 236813, 107, 140, 236820, 2569, 1012, 718, 12884, 236772, 5652, 905, 18670, 4224, 954, 2569, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 1018, 3883, 236743, 236770, 50504, 568, 171656, 43633, 43052, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 33796, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236775, 1012, 718, 33796, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 33763, 236772, 1005, 905, 107, 140, 185, 248163, 238178, 23855, 34556, 1048, 70977, 236888, 192, 107, 140, 236820, 236758, 236813, 236828, 236787, 236771, 236771, 8151, 1109, 42641, 1813, 833, 27893, 11795, 954, 236758, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 1018, 3883, 236743, 236778, 163862, 568, 50613, 31093, 30407, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 15275, 497, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236775, 1012, 718, 5653, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 3955, 905, 107, 140, 184, 247344, 45287, 41254, 156084, 191, 107, 140, 236820, 236758, 236813, 249460, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 244343, 50613, 31093, 32973, 954, 236758, 236813, 107, 140, 236820, 236758, 236813, 80182, 45867, 236789, 236751, 11497, 512, 1780, 607, 2263, 3756, 1954, 236761, 19159, 16746, 2487, 75576, 236758, 236813, 107, 140, 236820, 2569, 1012, 718, 12884, 236772, 5652, 905, 133422, 5180, 24495, 954, 2569, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 1018, 3883, 236743, 236778, 50504, 568, 236788, 671, 81372, 40344, 43052, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 33796, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236775, 1012, 718, 33796, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 33763, 236772, 1005, 905, 107, 140, 185, 242507, 29134, 5137, 134937, 51495, 236888, 192, 107, 140, 236820, 236758, 236813, 97850, 22249, 1109, 2343, 12889, 4535, 8349, 954, 236758, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 9208, 23693, 4883, 30415, 2471, 24781, 532, 3204, 236787, 107, 236772, 10635, 20722, 7426, 36225, 107, 236772, 25179, 2246, 236772, 1071, 236772, 2064, 4820, 107, 236772, 12209, 236772, 15396, 17709, 1816, 107, 236772, 18424, 236772, 18865, 3904, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 43165, 1239, 23693, 528, 496, 110718, 6518, 568, 25323, 236786, 8185, 20625, 107, 236778, 236761, 35593, 506, 2258, 22095, 531, 4241, 3530, 41628, 236881, 107, 236800, 236761, 4140, 44426, 3393, 180399, 573, 2460, 15020, 9851, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236772, 24333, 236764, 564, 236789, 236757, 35447, 496, 3399, 27893, 2460, 2148, 2297, 532, 1202, 1070, 42527, 5417, 236761, 28344, 611, 1601, 786, 1586, 1494, 236772, 15276, 4876, 529, 27893, 22249, 528, 45867, 236764, 57484, 600, 32545, 1023, 2263, 39339, 236881, 564, 1461, 531, 1386, 2889, 506, 62325, 7495, 506, 3399, 7304, 532, 3756, 9899, 692, 2765, 236761, 3792, 236789, 236751, 1502, 607, 496, 6475, 2471, 3927, 573, 756, 204569, 37328, 3399, 27893, 22249, 236789, 532, 1460, 1144, 3952, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 12103, 1083, 78493, 3250, 1083, 623, 204569, 236789, 236751, 42055, 753, 4855, 10373, 40344, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 827, 623, 6265, 1083, 623, 2805, 63395, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236881, 236765, 236784, 236778, 236771, 236771, 23179, 3714, 3250, 1083, 623, 46640, 105528, 616, 657, 80126, 43633, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 827, 623, 6265, 1083, 623, 236791, 716, 1416, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 23179, 3714, 3250, 1083, 623, 204569, 7940, 31093, 23855, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 827, 623, 6265, 1083, 623, 2805, 63395, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236881, 236765, 236784, 236778, 236771, 236771, 23179, 3714, 3250, 1083, 623, 23301, 134937, 528, 226860, 40344, 827, 623, 2883, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 827, 623, 6265, 1083, 623, 236791, 716, 1416, 827, 623, 19852, 1083, 623, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 25938, 1604, 623, 3278, 236779, 1516, 1083, 3714, 2305, 236779, 3278, 1083, 623, 204569, 37328, 3399, 27893, 22249, 827, 623, 19859, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 827, 623, 12103, 236779, 204138, 1083, 236743, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1494, 236772, 15276, 2471, 2536, 573, 45867, 236764, 57484, 3399, 27893, 22249, 236787, 108, 236770, 236761, 5213, 204569, 236789, 236751, 42055, 753, 4855, 10373, 40344, 1018, 138, 107, 139, 236840, 5825, 236787, 1286, 63395, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 236778, 236761, 5213, 46640, 105528, 616, 657, 80126, 43633, 1018, 138, 107, 139, 236840, 5825, 236787, 593, 716, 1416, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 236800, 236761, 5213, 204569, 7940, 31093, 23855, 1018, 138, 107, 139, 236840, 5825, 236787, 1286, 63395, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 236812, 236761, 5213, 23301, 134937, 528, 226860, 40344, 1018, 138, 107, 139, 236840, 5825, 236787, 593, 716, 1416, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236768, 138, 107, 139, 24960, 61578, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236881, 236765, 236784, 236778, 236771, 236771, 236768, 108, 818, 2536, 3204, 3399, 236772, 41889, 18583, 532, 45867, 236789, 236751, 22799, 39339, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 5957, 684, 3530, 22249, 236764, 6253, 2471, 3117, 236764, 653, 33205, 919, 3835, 20625, 106, 107, 105, 2364, 107, 12879, 573, 506, 2471, 2536, 236888, 669, 3399, 18583, 532, 2263, 39339, 1385, 4011, 236761, 3792, 236789, 236751, 9918, 1239, 3835, 1131, 7100, 4402, 531, 1594, 1607, 42527, 68248, 236761, 28344, 611, 1161, 506, 9918, 236779, 2234, 5904, 531, 19226, 506, 2390, 2471, 60973, 1131, 49145, 529, 1156, 236881, 1174, 1595, 236764, 564, 740, 10769, 1217, 1546, 6727, 4146, 573, 61381, 11803, 14922, 2777, 4009, 45892, 236761, 9996, 2889, 506, 49145, 22435, 506, 1900, 529, 4876, 692, 124406, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 1922, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 963, 756, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 2000, 107, 1922, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 963, 756, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 2000, 106, 107, 105, 4368, 107, 8291, 659, 506, 2471, 60973, 11310, 1131, 11496, 49145, 573, 11273, 7257, 236787, 108, 1018, 3883, 236743, 236770, 568, 63157, 497, 7803, 57823, 1473, 1018, 138, 107, 236770, 236761, 870, 9264, 10373, 40344, 23855, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236768, 138, 107, 236778, 236761, 870, 171656, 43633, 105528, 616, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236768, 138, 108, 1018, 3883, 236743, 236778, 568, 30222, 11701, 50504, 57823, 1473, 1018, 138, 107, 236770, 236761, 870, 50613, 31093, 23855, 5457, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236768, 138, 107, 236778, 236761, 870, 236788, 671, 81372, 40344, 12831, 5457, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236768, 138, 108, 818, 1900, 699, 506, 3303, 2536, 563, 27750, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43550, 4767, 49145, 607, 1607, 130053, 236881, 138, 107, 236778, 236761, 40656, 3530, 28436, 568, 236744, 236761, 236759, 1126, 4466, 1816, 236764, 37210, 236768, 699, 1239, 4876, 236881, 138, 107, 236800, 236761, 8600, 18649, 11273, 23693, 1699, 1239, 60973, 236881, 106, 107, 105, 2364, 107, 20418, 236888, 3792, 236789, 236751, 2619, 18649, 11273, 23693, 1699, 1239, 60973, 236761, 1701, 1546, 2299, 236764, 8729, 496, 3606, 61381, 532, 2777, 4009, 17409, 61931, 600, 5132, 17709, 1816, 573, 2460, 4889, 236761, 1174, 795, 1601, 50611, 1217, 506, 4876, 981, 607, 506, 42527, 39389, 236761, 6890, 506, 1171, 10739, 528, 1546, 27897, 573, 506, 61381, 12093, 2471, 532, 506, 1855, 573, 496, 10929, 17409, 11273, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 18649, 11273, 23693, 1699, 16167, 236786, 42970, 9108, 573, 3735, 61988, 236761, 5715, 659, 506, 7426, 14485, 236787, 108, 1018, 3883, 236743, 236770, 163862, 568, 9264, 10373, 40344, 30407, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 15275, 497, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236825, 236778, 236771, 236832, 236770, 236812, 236778, 236778, 236800, 236771, 236828, 236812, 236772, 236828, 16652, 3993, 236825, 3405, 236753, 236828, 236753, 236775, 1012, 718, 5653, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 3955, 905, 107, 140, 184, 243536, 45867, 11493, 156084, 191, 107, 140, 236820, 236758, 236813, 249460, 5857, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 244343, 236773, 62327, 40344, 23855, 2834, 954, 236758, 236813, 107, 140, 236820, 236758, 236813, 22163, 775, 573, 1023, 7384, 3399, 34374, 1343, 45867, 236789, 236751, 19282, 19227, 39339, 236888, 12831, 236772, 18865, 9116, 607, 28172, 4135, 16592, 9047, 236758, 236813, 107, 140, 236820, 2569, 1012, 718, 12884, 236772, 5652, 905, 18670, 4224, 954, 2569, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 1018, 3883, 236743, 236770, 50504, 568, 171656, 43633, 43052, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 33796, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236786, 125434, 236772, 14007, 236772, 236800, 236800, 236771, 236810, 236832, 236812, 236812, 236761, 32431, 236775, 1012, 718, 33796, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 33763, 236772, 1005, 905, 107, 140, 185, 248163, 238178, 23855, 34556, 1048, 70977, 236888, 192, 107, 140, 236820, 236758, 236813, 236828, 236787, 236771, 236771, 8151, 1109, 42641, 1813, 833, 27893, 11795, 954, 236758, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 1018, 3883, 236743, 236778, 163862, 568, 50613, 31093, 30407, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 15275, 497, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 225357, 236761, 854, 236786, 14007, 236772, 236770, 236810, 236771, 236812, 236812, 236810, 236832, 236771, 236812, 236825, 236832, 236828, 236819, 236772, 236832, 236771, 236753, 236812, 236763, 236819, 236753, 236770, 236760, 236800, 236755, 236812, 236775, 1012, 718, 5653, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 3955, 905, 107, 140, 184, 247344, 45287, 41254, 156084, 191, 107, 140, 236820, 236758, 236813, 249460, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 244343, 50613, 31093, 32973, 954, 236758, 236813, 107, 140, 236820, 236758, 236813, 80182, 45867, 236789, 236751, 11497, 512, 1780, 607, 2263, 3756, 1954, 236761, 19159, 16746, 2487, 75576, 236758, 236813, 107, 140, 236820, 2569, 1012, 718, 12884, 236772, 5652, 905, 133422, 5180, 24495, 954, 2569, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 1018, 3883, 236743, 236778, 50504, 568, 236788, 671, 81372, 40344, 43052, 1473, 1018, 107, 2717, 3185, 107, 236820, 1928, 1012, 718, 33796, 905, 107, 138, 236820, 3024, 4474, 718, 2574, 1411, 3871, 236761, 125434, 236761, 854, 236786, 33864, 236786, 236832, 236800, 236812, 236800, 236832, 236770, 236786, 125434, 236772, 14007, 236772, 236832, 236800, 236812, 236800, 236832, 236770, 236761, 32431, 236775, 1012, 718, 33796, 236772, 3024, 236775, 2136, 107, 138, 236820, 1928, 1012, 718, 33763, 236772, 1005, 905, 107, 140, 185, 242507, 29134, 5137, 134937, 51495, 236888, 192, 107, 140, 236820, 236758, 236813, 97850, 22249, 1109, 2343, 12889, 4535, 8349, 954, 236758, 236813, 107, 138, 235, 107, 235, 107, 2717, 108, 9208, 23693, 4883, 30415, 2471, 24781, 532, 3204, 236787, 107, 236772, 10635, 20722, 7426, 36225, 107, 236772, 25179, 2246, 236772, 1071, 236772, 2064, 4820, 107, 236772, 12209, 236772, 15396, 17709, 1816, 107, 236772, 18424, 236772, 18865, 3904, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 43165, 1239, 23693, 528, 496, 110718, 6518, 568, 25323, 236786, 8185, 20625, 107, 236778, 236761, 35593, 506, 2258, 22095, 531, 4241, 3530, 41628, 236881, 107, 236800, 236761, 4140, 44426, 3393, 180399, 573, 2460, 15020, 9851, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 614, 167387, 14896, 212182, 532, 1461, 531, 24372, 2263, 48030, 236761, 3199, 611, 3927, 23073, 529, 506, 1392, 4199, 35580, 5297, 29235, 19590, 10365, 2881, 573, 5089, 7467, 528, 623, 50581, 13862, 236775, 653, 623, 67356, 176239, 51653, 3792, 236789, 236751, 1586, 3435, 40303, 573, 1041, 41512, 2460, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236753, 2765, 531, 1601, 611, 1586, 3435, 40303, 573, 822, 14896, 212182, 236888, 3153, 236764, 564, 5633, 1537, 236789, 236745, 735, 2802, 531, 10365, 236789, 236751, 9299, 653, 506, 5596, 531, 1385, 872, 2430, 62606, 699, 190812, 236761, 669, 2487, 623, 2305, 76647, 236775, 5904, 7087, 496, 40155, 2430, 5853, 531, 3927, 23073, 236764, 840, 611, 236789, 560, 1186, 3847, 506, 10365, 6060, 12945, 4199, 35580, 5297, 29235, 19590, 769, 236743, 108, 2021, 7162, 236764, 692, 1093, 1202, 531, 236787, 107, 236770, 236761, 5315, 1586, 506, 40155, 2430, 5853, 573, 1392, 4199, 35580, 5297, 29235, 19590, 568, 7650, 7087, 4767, 6436, 711, 2487, 1590, 236768, 107, 236778, 236761, 4298, 1161, 600, 5853, 607, 506, 3927, 76647, 5904, 531, 1586, 5089, 7467, 528, 623, 50581, 13862, 236775, 653, 623, 67356, 176239, 236775, 108, 38786, 611, 1133, 786, 531, 1601, 607, 1027, 1032, 10217, 529, 822, 212182, 6995, 600, 564, 740, 6361, 607, 1699, 506, 2487, 6436, 236881, 106, 107, 105, 2364, 107, 236777, 3050, 506, 26919, 236888, 3792, 236789, 236751, 38179, 531, 2264, 6084, 529, 1041, 2460, 6995, 236761, 564, 236789, 236757, 66582, 496, 2822, 6492, 573, 506, 212182, 600, 42298, 623, 121662, 12434, 528, 4532, 4108, 13283, 236775, 532, 623, 582, 755, 139275, 607, 17856, 1781, 28344, 611, 18840, 506, 122499, 529, 672, 1816, 531, 5330, 625, 236789, 236751, 15283, 531, 1800, 56677, 18270, 532, 92188, 236881, 564, 1461, 531, 15161, 496, 7002, 1534, 8330, 8744, 532, 4313, 2109, 573, 1041, 41512, 22658, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1399, 2109, 236779, 8318, 1083, 236743, 236825, 236828, 236761, 236778, 236764, 623, 109719, 236779, 5909, 1083, 623, 28602, 827, 623, 9619, 236779, 5909, 1083, 623, 236828, 236772, 236770, 236771, 827, 623, 28263, 1083, 3714, 79205, 236779, 42103, 1083, 11058, 121662, 12434, 827, 623, 582, 755, 139275, 827, 623, 32651, 14255, 623, 65141, 524, 236779, 152303, 1083, 623, 210826, 607, 6079, 8330, 1695, 827, 623, 23184, 1083, 623, 2067, 6097, 8610, 236772, 15396, 36010, 600, 1149, 1660, 4403, 573, 92188, 236761, 58731, 531, 1138, 8652, 46119, 529, 2307, 14485, 573, 25898, 36453, 1781, 1807, 106, 107, 105, 4368, 107, 818, 122499, 3671, 529, 822, 212182, 6492, 3831, 23284, 36453, 236888, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 6190, 2109, 27242, 66515, 236743, 236825, 236828, 236761, 236778, 568, 28602, 14644, 236764, 9273, 573, 1346, 6779, 15021, 236768, 107, 236772, 5213, 44184, 16575, 66515, 236743, 236828, 236772, 236770, 236771, 568, 68066, 531, 15021, 607, 6029, 236772, 1071, 236772, 11480, 2528, 4993, 236768, 107, 236772, 5213, 58972, 30234, 229414, 66515, 623, 121662, 12434, 2098, 623, 582, 755, 139275, 2098, 623, 32651, 236775, 108, 1018, 211199, 66515, 236743, 107, 11069, 1816, 4146, 1388, 573, 18270, 607, 6079, 8330, 4654, 236764, 840, 531, 11825, 506, 11302, 1534, 11848, 532, 92188, 236787, 107, 236770, 236761, 4140, 8652, 3724, 51187, 46119, 573, 2307, 3755, 568, 236744, 236761, 236759, 1126, 165996, 121662, 12434, 568, 87783, 85503, 3797, 16291, 17616, 107, 236778, 236761, 14066, 8009, 496, 13315, 1133, 236787, 165996, 3243, 12889, 4535, 8349, 1271, 692, 236789, 859, 2847, 3823, 66468, 580, 8330, 14485, 1913, 506, 6478, 1781, 236829, 108, 2094, 32618, 506, 8330, 44247, 1651, 3043, 506, 2460, 2597, 919, 23722, 573, 23210, 92188, 236761, 21284, 611, 1133, 1601, 68657, 506, 1816, 3342, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 19205, 236888, 564, 236858, 560, 26885, 506, 1816, 531, 3204, 8652, 46119, 236787, 165996, 121662, 12434, 568, 87783, 85503, 3797, 16291, 236829, 532, 165996, 582, 755, 139275, 607, 17856, 568, 117129, 2913, 1699, 34125, 236786, 97809, 75265, 236829, 28344, 611, 1492, 18840, 506, 16783, 529, 506, 3755, 165996, 121662, 147698, 532, 165996, 582, 755, 139275, 147698, 29772, 236881, 564, 1461, 531, 5330, 1239, 30154, 10050, 236858, 236745, 2311, 47834, 573, 92188, 840, 2036, 114542, 607, 9763, 174082, 236761, 3792, 236858, 236751, 5851, 236772, 110964, 672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 121662, 827, 623, 69518, 236779, 8318, 1083, 236743, 236825, 236761, 236778, 236764, 623, 28263, 1083, 3714, 20339, 859, 2639, 1083, 236743, 236778, 236764, 623, 1918, 800, 236779, 27521, 1083, 236743, 236812, 236761, 236810, 236764, 623, 83576, 3535, 236779, 109719, 1083, 236743, 236800, 236764, 623, 79205, 236779, 19645, 1083, 623, 28681, 6647, 827, 623, 62353, 236779, 1708, 1083, 11058, 109771, 38600, 827, 623, 78024, 14477, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 582, 755, 827, 623, 69518, 236779, 8318, 1083, 236743, 236812, 236761, 236778, 236764, 623, 28263, 1083, 3714, 3017, 236779, 3119, 1083, 236743, 236810, 236764, 623, 20339, 859, 2639, 1083, 236743, 236778, 236764, 623, 1918, 800, 236779, 27521, 1083, 623, 11480, 827, 623, 83576, 3535, 236779, 109719, 1083, 623, 976, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 12242, 74670, 827, 623, 69518, 236779, 8318, 1083, 236743, 236812, 236761, 236832, 236764, 623, 20339, 859, 2639, 1083, 236743, 236810, 236764, 623, 1918, 800, 236779, 27521, 1083, 623, 114292, 827, 623, 83576, 3535, 236779, 109719, 1083, 623, 11480, 827, 623, 85038, 567, 1083, 623, 24501, 8009, 58344, 8698, 573, 92188, 236793, 1941, 563, 1388, 236772, 5863, 528, 14896, 6192, 840, 1149, 1660, 15569, 573, 2870, 28675, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 16783, 3671, 573, 822, 2307, 3755, 236787, 108, 1018, 236770, 236761, 72280, 1018, 138, 107, 236772, 5213, 98641, 27242, 66515, 236743, 236825, 236761, 236778, 568, 114292, 236772, 11480, 236768, 138, 107, 236772, 5213, 35434, 66515, 138, 107, 138, 236772, 22202, 8610, 1941, 568, 28681, 6647, 236768, 138, 107, 138, 236772, 90434, 161888, 568, 236778, 236768, 840, 2708, 117690, 7132, 568, 236812, 236761, 236810, 236786, 236770, 236771, 236768, 138, 107, 138, 236772, 58731, 573, 236787, 62629, 38600, 900, 3956, 14477, 138, 107, 138, 236772, 5213, 203949, 66515, 562, 5139, 8330, 1941, 600, 14139, 14739, 236764, 840, 1149, 1660, 8652, 58344, 15569, 573, 92188, 236761, 108, 1018, 236778, 236761, 99762, 1255, 24769, 1775, 522, 1018, 138, 107, 236772, 5213, 11585, 755, 66515, 138, 107, 138, 236772, 27242, 236787, 236743, 236812, 236761, 236778, 568, 68066, 236768, 138, 107, 138, 236772, 4819, 117690, 7132, 236764, 2708, 58750, 16783, 138, 107, 138, 236772, 13752, 528, 2203, 3997, 44187, 138, 107, 236772, 5213, 1489, 24769, 1775, 522, 66515, 138, 107, 138, 236772, 27242, 236787, 236743, 236812, 236761, 236832, 568, 114292, 236768, 138, 107, 138, 236772, 236743, 236810, 161888, 607, 1494, 58750, 16783, 138, 107, 138, 236772, 111506, 236787, 59017, 58344, 8698, 573, 2870, 28675, 138, 108, 1018, 77788, 140604, 66515, 138, 107, 236770, 236761, 17608, 1800, 3755, 1271, 901, 11974, 6953, 8330, 36787, 138, 107, 236778, 236761, 4140, 8652, 186193, 236787, 138, 107, 139, 236772, 165996, 121662, 568, 5282, 496, 7659, 5177, 85503, 573, 9584, 16788, 16291, 236829, 138, 107, 139, 236772, 165996, 582, 755, 139275, 568, 2598, 1280, 2913, 1343, 7226, 9697, 22044, 16291, 236829, 138, 107, 236800, 236761, 14066, 8009, 236787, 165996, 8993, 236858, 236745, 12141, 768, 1239, 3755, 659, 861, 1271, 692, 236858, 859, 1888, 925, 1891, 1091, 3075, 9332, 236829, 531, 13491, 15430, 138, 108, 2094, 32618, 8330, 44247, 1651, 7107, 496, 33599, 15737, 573, 9726, 236772, 28763, 28675, 236761, 21284, 611, 1133, 531, 1594, 1027, 26885, 211983, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 614, 167387, 14896, 212182, 532, 1461, 531, 24372, 2263, 48030, 236761, 3199, 611, 3927, 23073, 529, 506, 1392, 4199, 35580, 5297, 29235, 19590, 10365, 2881, 573, 5089, 7467, 528, 623, 50581, 13862, 236775, 653, 623, 67356, 176239, 51653, 3792, 236789, 236751, 1586, 3435, 40303, 573, 1041, 41512, 2460, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236753, 2765, 531, 1601, 611, 1586, 3435, 40303, 573, 822, 14896, 212182, 236888, 3153, 236764, 564, 5633, 1537, 236789, 236745, 735, 2802, 531, 10365, 236789, 236751, 9299, 653, 506, 5596, 531, 1385, 872, 2430, 62606, 699, 190812, 236761, 669, 2487, 623, 2305, 76647, 236775, 5904, 7087, 496, 40155, 2430, 5853, 531, 3927, 23073, 236764, 840, 611, 236789, 560, 1186, 3847, 506, 10365, 6060, 12945, 4199, 35580, 5297, 29235, 19590, 769, 236743, 108, 2021, 7162, 236764, 692, 1093, 1202, 531, 236787, 107, 236770, 236761, 5315, 1586, 506, 40155, 2430, 5853, 573, 1392, 4199, 35580, 5297, 29235, 19590, 568, 7650, 7087, 4767, 6436, 711, 2487, 1590, 236768, 107, 236778, 236761, 4298, 1161, 600, 5853, 607, 506, 3927, 76647, 5904, 531, 1586, 5089, 7467, 528, 623, 50581, 13862, 236775, 653, 623, 67356, 176239, 236775, 108, 38786, 611, 1133, 786, 531, 1601, 607, 1027, 1032, 10217, 529, 822, 212182, 6995, 600, 564, 740, 6361, 607, 1699, 506, 2487, 6436, 236881, 106, 107, 105, 2364, 107, 236777, 3050, 506, 26919, 236888, 3792, 236789, 236751, 38179, 531, 2264, 6084, 529, 1041, 2460, 6995, 236761, 564, 236789, 236757, 66582, 496, 2822, 6492, 573, 506, 212182, 600, 42298, 623, 121662, 12434, 528, 4532, 4108, 13283, 236775, 532, 623, 582, 755, 139275, 607, 17856, 1781, 28344, 611, 18840, 506, 122499, 529, 672, 1816, 531, 5330, 625, 236789, 236751, 15283, 531, 1800, 56677, 18270, 532, 92188, 236881, 564, 1461, 531, 15161, 496, 7002, 1534, 8330, 8744, 532, 4313, 2109, 573, 1041, 41512, 22658, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1399, 2109, 236779, 8318, 1083, 236743, 236825, 236828, 236761, 236778, 236764, 623, 109719, 236779, 5909, 1083, 623, 28602, 827, 623, 9619, 236779, 5909, 1083, 623, 236828, 236772, 236770, 236771, 827, 623, 28263, 1083, 3714, 79205, 236779, 42103, 1083, 11058, 121662, 12434, 827, 623, 582, 755, 139275, 827, 623, 32651, 14255, 623, 65141, 524, 236779, 152303, 1083, 623, 210826, 607, 6079, 8330, 1695, 827, 623, 23184, 1083, 623, 2067, 6097, 8610, 236772, 15396, 36010, 600, 1149, 1660, 4403, 573, 92188, 236761, 58731, 531, 1138, 8652, 46119, 529, 2307, 14485, 573, 25898, 36453, 1781, 1807, 106, 107, 105, 4368, 107, 818, 122499, 3671, 529, 822, 212182, 6492, 3831, 23284, 36453, 236888, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 6190, 2109, 27242, 66515, 236743, 236825, 236828, 236761, 236778, 568, 28602, 14644, 236764, 9273, 573, 1346, 6779, 15021, 236768, 107, 236772, 5213, 44184, 16575, 66515, 236743, 236828, 236772, 236770, 236771, 568, 68066, 531, 15021, 607, 6029, 236772, 1071, 236772, 11480, 2528, 4993, 236768, 107, 236772, 5213, 58972, 30234, 229414, 66515, 623, 121662, 12434, 2098, 623, 582, 755, 139275, 2098, 623, 32651, 236775, 108, 1018, 211199, 66515, 236743, 107, 11069, 1816, 4146, 1388, 573, 18270, 607, 6079, 8330, 4654, 236764, 840, 531, 11825, 506, 11302, 1534, 11848, 532, 92188, 236787, 107, 236770, 236761, 4140, 8652, 3724, 51187, 46119, 573, 2307, 3755, 568, 236744, 236761, 236759, 1126, 165996, 121662, 12434, 568, 87783, 85503, 3797, 16291, 17616, 107, 236778, 236761, 14066, 8009, 496, 13315, 1133, 236787, 165996, 3243, 12889, 4535, 8349, 1271, 692, 236789, 859, 2847, 3823, 66468, 580, 8330, 14485, 1913, 506, 6478, 1781, 236829, 108, 2094, 32618, 506, 8330, 44247, 1651, 3043, 506, 2460, 2597, 919, 23722, 573, 23210, 92188, 236761, 21284, 611, 1133, 1601, 68657, 506, 1816, 3342, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 19205, 236888, 564, 236858, 560, 26885, 506, 1816, 531, 3204, 8652, 46119, 236787, 165996, 121662, 12434, 568, 87783, 85503, 3797, 16291, 236829, 532, 165996, 582, 755, 139275, 607, 17856, 568, 117129, 2913, 1699, 34125, 236786, 97809, 75265, 236829, 28344, 611, 1492, 18840, 506, 16783, 529, 506, 3755, 165996, 121662, 147698, 532, 165996, 582, 755, 139275, 147698, 29772, 236881, 564, 1461, 531, 5330, 1239, 30154, 10050, 236858, 236745, 2311, 47834, 573, 92188, 840, 2036, 114542, 607, 9763, 174082, 236761, 3792, 236858, 236751, 5851, 236772, 110964, 672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 121662, 827, 623, 69518, 236779, 8318, 1083, 236743, 236825, 236761, 236778, 236764, 623, 28263, 1083, 3714, 20339, 859, 2639, 1083, 236743, 236778, 236764, 623, 1918, 800, 236779, 27521, 1083, 236743, 236812, 236761, 236810, 236764, 623, 83576, 3535, 236779, 109719, 1083, 236743, 236800, 236764, 623, 79205, 236779, 19645, 1083, 623, 28681, 6647, 827, 623, 62353, 236779, 1708, 1083, 11058, 109771, 38600, 827, 623, 78024, 14477, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 582, 755, 827, 623, 69518, 236779, 8318, 1083, 236743, 236812, 236761, 236778, 236764, 623, 28263, 1083, 3714, 3017, 236779, 3119, 1083, 236743, 236810, 236764, 623, 20339, 859, 2639, 1083, 236743, 236778, 236764, 623, 1918, 800, 236779, 27521, 1083, 623, 11480, 827, 623, 83576, 3535, 236779, 109719, 1083, 623, 976, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 12242, 74670, 827, 623, 69518, 236779, 8318, 1083, 236743, 236812, 236761, 236832, 236764, 623, 20339, 859, 2639, 1083, 236743, 236810, 236764, 623, 1918, 800, 236779, 27521, 1083, 623, 114292, 827, 623, 83576, 3535, 236779, 109719, 1083, 623, 11480, 827, 623, 85038, 567, 1083, 623, 24501, 8009, 58344, 8698, 573, 92188, 236793, 1941, 563, 1388, 236772, 5863, 528, 14896, 6192, 840, 1149, 1660, 15569, 573, 2870, 28675, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 16783, 3671, 573, 822, 2307, 3755, 236787, 108, 1018, 236770, 236761, 72280, 1018, 138, 107, 236772, 5213, 98641, 27242, 66515, 236743, 236825, 236761, 236778, 568, 114292, 236772, 11480, 236768, 138, 107, 236772, 5213, 35434, 66515, 138, 107, 138, 236772, 22202, 8610, 1941, 568, 28681, 6647, 236768, 138, 107, 138, 236772, 90434, 161888, 568, 236778, 236768, 840, 2708, 117690, 7132, 568, 236812, 236761, 236810, 236786, 236770, 236771, 236768, 138, 107, 138, 236772, 58731, 573, 236787, 62629, 38600, 900, 3956, 14477, 138, 107, 138, 236772, 5213, 203949, 66515, 562, 5139, 8330, 1941, 600, 14139, 14739, 236764, 840, 1149, 1660, 8652, 58344, 15569, 573, 92188, 236761, 108, 1018, 236778, 236761, 99762, 1255, 24769, 1775, 522, 1018, 138, 107, 236772, 5213, 11585, 755, 66515, 138, 107, 138, 236772, 27242, 236787, 236743, 236812, 236761, 236778, 568, 68066, 236768, 138, 107, 138, 236772, 4819, 117690, 7132, 236764, 2708, 58750, 16783, 138, 107, 138, 236772, 13752, 528, 2203, 3997, 44187, 138, 107, 236772, 5213, 1489, 24769, 1775, 522, 66515, 138, 107, 138, 236772, 27242, 236787, 236743, 236812, 236761, 236832, 568, 114292, 236768, 138, 107, 138, 236772, 236743, 236810, 161888, 607, 1494, 58750, 16783, 138, 107, 138, 236772, 111506, 236787, 59017, 58344, 8698, 573, 2870, 28675, 138, 108, 1018, 77788, 140604, 66515, 138, 107, 236770, 236761, 17608, 1800, 3755, 1271, 901, 11974, 6953, 8330, 36787, 138, 107, 236778, 236761, 4140, 8652, 186193, 236787, 138, 107, 139, 236772, 165996, 121662, 568, 5282, 496, 7659, 5177, 85503, 573, 9584, 16788, 16291, 236829, 138, 107, 139, 236772, 165996, 582, 755, 139275, 568, 2598, 1280, 2913, 1343, 7226, 9697, 22044, 16291, 236829, 138, 107, 236800, 236761, 14066, 8009, 236787, 165996, 8993, 236858, 236745, 12141, 768, 1239, 3755, 659, 861, 1271, 692, 236858, 859, 1888, 925, 1891, 1091, 3075, 9332, 236829, 531, 13491, 15430, 138, 108, 2094, 32618, 8330, 44247, 1651, 7107, 496, 33599, 15737, 573, 9726, 236772, 28763, 28675, 236761, 21284, 611, 1133, 531, 1594, 1027, 26885, 211983, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 36498, 532, 6527, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 36498, 532, 6527, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]